Logical 19 - Situation Reaction Test

This test is mainly to judge the ability to use the presence of mind to tackle a given situation which we come across any time in life. We must choose the best response which will present us as a good person or a sincere professional.

Practice Questions

Question 1

Your friends like smoking and influence you to do the same. You will

a) smoke only because your friends are smoking

b) refuse to smoke

c) smoke but only in presence

d) refuse and lie to them that you have asthma

Clearly, one should have a strong will-power so as not to yield to easy temptations and indulge in any activity that shall later prove to be harmful. Hence, answer is b. 

Question 2

Your maid has invited you to her daughter's wedding. You would

a) completely ignore her

b) attend the wedding

c) buy a gift for her daughter

d) congratulate her and make up some excuse for not being able to attend

Clearly, the situation demands helping the maid by contributing towards the wedding as much as one can. Hence, the answer is c. 

Question 3

If on a tough day, you are the only person available to handle the customers, you should

a) ask for additional help from the boss

b) just leave and go back home

c) just do your part of work

d) try and work to the maximum of your ability to satisfy customers

Clearly, an ideal professional is expected not to shirk his duties but to work hard and strive to satisfy his customers/clients. Hence, the answer is d. 

Question 4

When you get angry, you usually,

a) throw things

b) withdraw yourself and start crying

c) leave the situation and engage yourself in a different activity

d) None of these

The best mode to overcome anger is not to vent it on things or people around but to divert your mind to a different indulgence. Hence, the answer is c. 

Question 5

If you find yourself in a situation where you are required to make a power-point presentation and you are already bogged down by too much work, as the manager what would you do?

a) Take an alternative mode of presentation

b) Cancel the seminar and reschedule according to your convenience

c) Pass the buck to your subordinate, you are the boss, no one can question you

d) Prioritize your work and try to squeeze out time for it

A manager is one who has the expertise to manage tasks properly. So, it becomes his prime responsibility to rearrange his work schedule properly and work out the required time for the project rather than postpone it or hand it over to someone else. Hence, the answer is d. 

Time to Think

While travelling in a train, you notice a man from the coach behind yours fall off the train. You would

a) pull the alarm chain so that the train may stop and the man may be helped

b) shout at the falling man asking him to get up quickly and entrain

c) jump off the train to assist the falling man

d) wait till the train stops at the next station and inform the railway authorities there

Quants 19 - Pipes and Cisterns

Key Points to Remember:

Inlet - A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.

Outlet - A pipe connected with a tank or a cistern or a reservoir, emptying it, is known as an outlet.

If a pipe can fill a tank in x hours, then part filled in 1 hour = 1/x.

If a pipe can empty a full tank in y hours, then part emptied in 1 hour = 1/y.

If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, the net part filled in 1 hour = 1/x - 1/y.

If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes, the net part emptied in 1 hour = 1/y - 1/x.

Practice Questions:

Question 1

Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?

Part filled by A in 1 hour = 1/36 

Part filled by B in 1 hour = 1/45

Part filled by A and B in 1 hour = 1/36 + 1/45 = (5+4)/180 = 9/180 = 1/20

Hence, both the pipes together will fill the tank in 20 hours. 

Question 2

Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled?

Net part filled in 1 hour = 1/10 + 1/12 - 1/20 = (6+5-3) / 60 = 8/60 = 2/15

The tank will be full in 2/15 = 7 hours 30 minutes. 

Question 3

If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir in 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir?

Let the reservoir be filled by first pipe in x hours.
Then the second pipe will fill it in x+10 hours.
So, 1/x + 1/(x+10) = 1/12
x+10+x/x(x+10) = 1/12
2x+10 / x²+10x = 1/12
24x+120 =  x²+10x
x² - 14x - 120 = 0
(x-20)(x+6) = 0
So, x = 20.
The second pipe fills the reservoir in 30 hours.


Question 4
A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three pipes are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?
Work done by waste pipe in 1 minute = 1/20 - (1/12 + 1/15) = 1/20 - (5+4 / 60) = 1/20 - 9/60 = 3-9 / 60 = -6/60 = -1/10 (-ve sign means emptying)
Waste pipe will empty the full cistern in 10 minutes.


Question 5
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3.5 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Work done by the leak in 1 hour = 1/3 - 1/(7/2) = 1/3 - 2/7 = 7-6 / 21 = 1/21
The leak will empty the tank in 21 hours.


Time to Think:
Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it?

Special Occasion - Special Restart

My dear Aspirants,

       My heartfelt deep apologies for pausing this work of Aptitude. On this auspicious day of Vijayadhasami, a day of good start, let us restart and resume the work more energetically and vigorously. Let us have a good number of questions on this wonderful day. We have successfully completed 300 questions as of today and the past 9 weeks posts of our blog. Let's wait for our next milestone achievement of 100 posts and 1000 questions soon!!! :) Keep Supporting us!!! HAPPY VIJAYADHASAMI!!

If Neena says "Anitha's father Raman is the only son of my father-in-law Mahipal", then how is Bindhu, who is the sister of Anitha, related to Mahipal?

Only son of Neena's Father in Law Mahipal is Neena's Husband.

So, Raman is Neena's husband and Anitha & Bindhu are his daughters.

Thus, Bindhu is the grand - daughter of Mahipal.

A man leaves for his office from his house. He walks towards East. After moving a distance of 20m, he turns South and walks 10m. Then he walks 35m towards the West and further 5m towards the North. He then turns towards East and walks 15m. What is the straight distance in metres between his initial and final positions?

The movements of the man is shown in the above figure. Clearly, DC = AB + EF. F is also in the line of A. AF = (BC - DE) = 5m.

So, the man is 5m away from his initial position. 

The positions of how many digits in the number 321465987 will remain same when the digits are arranged in Ascending Order?

Original Number - 3 2 1 4 6 5 9 8 7

Ascending Order - 1 2 3 4 5 6 7 8 9

Clearly, the positions of 2, 4, 8 remain unaltered.

Aman is 16th from the left end in a row of boys and Vivek is 18th from the right end. Gagan is 11th from Aman towards the right and 3rd from Vivek towards the right end. How many boys are there in the row?

Vivek is 18th from the right end and Gagan is 3rd to the right of Vivek. So, Gagan is 15th from the right end. Thus, there are 15 boys to the left of Aman, 10 boys between Aman and Gagan and 14 boys to the left of Gagan. 

So, the number of boys in the row = 15 + 1 + 10 + 1 + 14 = 41. 

In a Cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D scored 5 more runs than E. E scored 8 fewer than A. B scored as many as D and E combined and B & C scored 107 runs between them. How many runs did E score?

Total runs scored = 36 * 5 = 180

Let the runs scored by E be x.

Runs scored by D = x + 5 

Runs scored by A = x + 8 ( E = A - 8 )

Runs scored by B = 2x + 5 (B = D + E )

Runs scored by C = 107 - B = 107 - 2x  - 5 = 102 - 2x

So, total runs, (x + 8) + (2x + 5 ) + (102 - 2x) + (x+5) + x = 180

3x + 120 = 180

3x = 60

x = 20

Runs scored by E is 20. 

Which would be the proper order of the following in Ascending Order?

Trillion, Thousand, Billion, Hundred, Million

Hundred, Thousand, Million, Billion, Trillion.

Find the relationship. (27, 9, 54), (42, 14, 84), (?, 7, 42)

We have, (27 + 54) / 9 = 9 and (42+84) / 14 = 9.
Hence, (x+42) / 7 = 9; x = 21



If in an Examination hall, you find that the question paper is too tough to be answered satisfactorily by you, the best thing to do for you is,
a) tell the examiner that the questions are out of course
b) provoke the candidates to walk out of the examination hall
c) try to know something from your neighbor
d) try to solve the questions as much as you know with a cool head

Clearly, an ideal student shall never be expected to create a row over such an issue or try to copy the answers. Also, a situation can best be tackled by not creating panic rather trying to solve it with a cool head. So, the answer is d.


Assertion (A) : Telephone wires sag more in Summer
Reason (R) : They expand due to Summer heat
a) Both A and R are true and R is the correct explanation
b) Both A and R are true and R is not the correct explanation
c) A is true but R is false
d) A is false but R is true
e) Both A and R are false

The metal of telephone wires expands in Summer and the wires become loose. So, they sag. Hence, the answer is a.


Statement : Should Coal Engines be replaced by Electric Engines in Trains?
Arguments:
I. Yes. Coal Engines cause a lot of Pollution.
II. Yes. Electric Engines are good on performance, easy to operate and low on maintenance.
III. No. India does not produce enough electricity to fill its domestic needs also.

a) All are strong
b) Only I and II are strong
c) Only II and III are strong
d) Only I and III are strong
e) Only I is strong

Clearly, electric engines shall be smoke-free and thus not cause pollution as the coal engines. They also run at higher speeds and perform better. Thus, both I and II hold strong. Argument III does not provide a convincing reason and hence does not hold strong. So, the answer is b.



__________, the more they remain the same.
a) The more the merrier
b) The less the dynamism
c) The more things change
d) The more pronounced the transformation


The highest reward for a man's toil is not what he gets for it, but what __________.
a) he makes out of it
b) he gets for others
c) he has overcome through it
d) he becomes by it


Though one eye is kept firmly on the __________, the Company now also promotes __________ contemporary art.
a) present, experimental
b) future, popular
c) present, popular
d) market, popular


__________ and ecstasy are the two sides of a puzzle called life. 
a) Pain
b) Penury
c) Agony
d) Anguish
e) Elation


A __________ of fresh air relaxes a tense mind.
a) breathe
b) volley
c) gulp
d) breath
e) brush


Because Raj is so __________, we can never predict what he will do at any moment.
a) old
b) immature
c) capricious
d) lazy
e) dormant


Greg Chappell was impressed by the __________ of the youthful Railways team.
a) ardor
b) corpulence
c) languor
d) impertinence
e) turbulence


The story of the novel, The Deranged, is very __________. It shows how a man cut off from the world for a long time becomes a mad man
a) absorbing
b) irritating
c) controversial
d) useless
e) derived


A careful __________ of the premises revealed some useful clues.
a) autopsy
b) incarceration
c) examination
d) incineration
e) emphases


Raman's __________ record collection included everything from Bach to rock.
a) effusive
b) raphsodic
c) eclectic
d) inherent
e) refulgent




A third of Arul's mark in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?
Let the Math and English marks be x and y respectively.
1/3x -1/2y = 30
(2x - 3y) / 6 = 30
2x - 3y = 180  ----- (1)
x + y = 240 -------- (2)

Solving 1 and 2,
x = 180.
So, English Marks y = 240 - 180 = 60.


If 4/5 of an estate be worth Rs. 16,800, then the value of 3/7 of the estate is _______.
4/5x = 16800
x = 16800 * 5/4 = 21000
3/7x = 3/7 * 21000 = 9000


The sum of three consecutive multiples of 3 is 72. What is the largest number?
Let the three numbers be x, 3x+3 and 3x+6 respectively.
3x + 3x+3 + 3x+6 = 72
9x + 9 = 72
9x = 63
x=7
So, the largest number is 3x + 6 = 21 + 6 = 27.


My brother is three years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father and mother respectively when my brother was born?
Clearly, my brother was 3 years before when I was born and 4 years after my Sister was born. So, father's age when brother was born = 28 + 4 = 32 years and
mother's age when brother was born = 26 - 3 = 23 years


A salesman's commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. Find the total sales. 
Let the total sales be .
Total Sales - Commission = 31100
x - 5% of 10000 + 4% of (x-10000) = 31100
x - [(5/100 * 10000) + (4/100 (x-10000)) ]= 31100
x - 500 - x/25 + 400 = 31100
x - x/25 = 31200
( 25x - x ) / 25 = 31200
24x = 780000
x = 32,500


After getting two successive discounts, a shirt with a list price of Rs. 150 is available at Rs. 105. If the second discount is 12.5%, find the first discount. 
Let the first discount be x%.
Then 87.5% of (100-x)% of 150 = 105
87.5/100 * (100-x / 100) * 150 = 105
100 - x = (105 * 100 * 100) / (87.5*150)
100 - x = 80
x = 20
The first discount is 20%.


A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
Let C's capital be x. Then B's capital is 2/3x.
A's capital is 3 * 2/3x = 2x
Ratio of capitals = 2 : 2/3 : 1 = 6 : 2 : 3
So, B's share = 2/ 11 * 6600 = Rs. 1200.


If 15 men, working 9 hours a day, can reap a field in 16 days. In how many days will 18 men reap the field, working 8 hours a day?
Let the number of days be x.
More men, less days ----- Indirect Proportion
Less hours per day, more days ----- Indirect Proportion
Men :: Hours :: (Days)
18 : 15 :: 8 : 9 :: (16 : x)
18 * 8 * x = 15 * 9 * 16
x = 15 * 9 * 16 / ( 18 * 8)
x = 15 days.


A man can row upstream at 7kmph and downstream at 10kmph. Find man's rate in still water and rate of current.
Rate in still water = 1/2 (10 + 7) = 17/2 = 8.5kmph
Rate of current = 1/2 ( 10 - 7) = 3/2 = 1.5kmph


The perimeters of two squares are 40cm and 32cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Side of 1st square = 40/4 = 10cm
Side of 2nd square = 32/4 = 8cm
Area of third square = 100 - 64 = 36cm²
Side of the third square = √36 = 6cm
Perimeter of the third square = 6 * 4 = 24cm.

Answers Week 9

Logical 14 - Quantitative Reasoning:

A man would like to take a new health insurance. An officer taking care of these matters says to the man, “Please tell me how many children you have.” The man answers, “I have three of them.” The officer, “What are the ages of your children?” The man answers, “The product of the ages is equal to 36.” The officer replies, “This is not enough information Sir!”; the man replied, “Sorry that I was a little bit unclear, but the sum of the ages is equal to the number of shops in front of your office.” The officer: “This still isn’t enough information Sir!”; The man replies, “My oldest child loves chocolate.” The officer: “Thanks for your cooperation, I now know the ages.” Are you as smart as the officer? Then give the sum of the ages of the children.

a. 13 

b. 22

c. 36

d. 38

The product of the ages is 36. Using this one can make the following combination of ages:

1, 36, 1 sum = 38

1, 18, 2 sum = 22

1, 12, 3 sum = 16

1, 9, 4 sum = 14

1, 6, 6 sum = 13

2, 9, 2 sum = 13

2, 6, 3 sum = 11

3, 3, 4 sum = 10

After the man had said that the product of the ages is equal to 36, the officer didn’t have enough information. Then he was told that the sum is equal to number of shops in front of the office. He replied by saying that this still isn’t enough information. So the sum of the ages should be 13, because otherwise he would have known the ages immediately. The last statement is that that the oldest child loves chocolate. So there is an oldest child. Hence the officer concludes that the ages of the children are 2, 2 and 9 years.

Hence option (3) is the correct answer.

Quants 17 - Percentage

Ram sells his goods 25% cheaper than Shyam and 25% dearer than Bram. How much percentage is Bram’s goods cheaper than Shyam’s?

Assume Ram as 100. Shyam will be 133.33 and Bram will be 80

Thus, Bram’s goods are 40% cheaper than Shyam’s (53.33/133.33)


Quants 18 - Profit and Loss
A cellular phone when sold for ` 4600 fetches a profit of 15%. Find the cost price of the cellular phone.

Selling Price = 4600
Profit = 15%
Cost Price = ?
1.15 × CP = 4600
CP = 4600 / 1.15 = 4000.


Logical 18 - Puzzle Test
There are six persons - A, B, C, D, E and F in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D's optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A's subjects but in terms of compulsory and optional subjects, they are just reverse of those of D's. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. 

1. What is C's compulsory subject?
a) History   b) Physics   c) Chemistry   d) English   e) Mathematics

2. Who is the female member in the group?
a) A     b) B     c) C     d) D     e) E

3. Which of the following has same compulsory and optional subjects as those of F's?
a) D     b) B     c) A     d) C     e) None of these

4. Disregarding which is the compulsory and which is optional subject, who has the same two subject combination as F?
a) A     b) B     c) E     d) D     e) None of these

5. Which of the following groups has History as the compulsory subject?
a) A, C, D    b) B, C, D    c) C, D    d) A, B, C    e) A, D


The given information can be analyzed as follows:

	A	B	C	D	E	F
Compulsory	History	History	History	English	Physics	Mathematics
Optional	English	Chemistry	Mathematics	History	Mathematics	Physics

F's Compulsory subject is Mathematics. F has Physics as one of the subjects. So, Physics is the Optional subject of F.

E has Mathematics as optional and Physics as one subject. So, Physics is the compulsory subject of E. 

A and D have the same subjects - History and English. D has History as Optional Subject and so, English is the compulsory subject of D. Subjects of A and D are reverse in regard of optional and compulsory. So, A has History as compulsory and English as optional. 

Chemistry is the optional subject of only one teacher. So, it is the optional subject of B, which only remains. We know that History is the compulsory subject of three teachers. So, it is compulsory for A, B and C.

D is the teacher having English as her compulsory subject. So, D is the only female teacher.

1. C's compulsory subject is History. So, the answer is (a).

2. D is the only female teacher. So, the answer is (d).

3. E has same subjects as those of F but the compulsory and optional subjects of E are reverse as thos of F. So, the answer is (e).

4. Clearly, E has the same subject combination as that of F. So, the answer is (e).

5. A, B and C has History as their compulsory subjects. So, the answer is (d).

Logical 18 - Puzzle Test

Key Points to Remember:

Puzzle Test is of Analytical Reasoning comprising of questions in the form of puzzles involving certain number of items. We have to analyze the given information, condense it in a suitable form and answer the questions asked.

The various types are:

1. Classification Type Questions
2. Seating / Placing Arrangements
3. Comparison Type Questions
4. Sequential Order of Things
5. Selection Based on Given Conditions
6. Family - Based Problems
7. Jumbled Problems

Let's see some Classification questions here. This type of questions in which certain items belonging to different groups or possessing different qualities are  given along with some clues with the help of which we have to group and analyze the given items and answer the questions accordingly. 

Question Set 1:

Study the following information carefully and answer the given questions:

• B and E are good in Dramatics and Computer Science.
• A and B are good in Computer Science and Physics.
• A, D and C are good in Physics and Mathematics.
• C and A are good in Physics and Mathematics.
• D and E are good in History and Dramatics.

1. Who is good in Physics, History and Dramatics?

a) A     b) B     c) D     d) E

2. Who is good in Physics, History and Mathematics, but not in Computer science?

a) A     b) B     c) C     d) D

3. Who is good in Computer Science, History and Dramatics?

a) A     b) B     c) C     d) E

4. Who is good in History, Physics and Computer Science?

a) A     b) B     c) C     d) D

5. Who is good in Physics, Dramatics and Computer Science?

a) A     b) B     c) C     d) E

Solution:

	Dramatics	Computer Science	Physics	History	Mathematics
A	X	√	√	√	√
B	√	√	√	X	X
C	X	X	√	√	√
D	√	X	√	√	X
E	√	√	X	√	X

The given information have been analyzed and the details furnished are in the table.

Thus,

1. D is good in Physics, History and Dramatics. So, the answer is (c).

2. Both A and C are good in Physics, History and Mathematics. But, A is good in Computer Science, while C is not. So, the answer is (c).

3. E is good in Computer Science, History and Dramatics. So, the answer is (d).

4. A is good in History, Physics, Computer Science and Mathematics. So, the answer is (a).

5. B is good in Physics, Dramatics and Computer Science. So, the answer is (b).

Question Set 2

• Five Friends P, Q, R, S and T traveled to five different cities of Chennai, Kolkata, Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train, Aeroplane, Car and Boat from Mumbai.
• The person who traveled to Delhi did not travel by Boat.
• R went to Bangalore by Car and Q went to Kolkata by Aeroplane.
• S traveled by Boat whereas T traveled by Train.
• Mumbai is not connected by Bus to Delhi and Chennai. 

1. Which of the following combinations of person and mode is not correct?
a) P - Bus
b) Q - Aeroplane
c) R - Car
d) S - Boat
e) T - Aeroplane

2. Which of the following combinations is true for S?
a) Delhi - Bus
b) Chennai - Bus
c) Chennai - Boat
d) Data Inadequate
e) None of these

3. Which of the following combinations of place and mode is not correct?
a) Delhi - Bus
b) Kolkata - Aeroplane
c) Bangalore - Car
d) Chennai - Boat
e) Hyderabad - Bus

4. The person traveling to Delhi went by which of the following modes?
a) Bus
b) Train
c) Aeroplane
d) Car
e) Boat

5. Who among the following traveled to Delhi?
a) R 
b) S
c) T
d) Data Inadequate
e) None of these 

Solution:

The given information can be analyzed as follows:

Mode of Transport - R travels by Car, Q by Aeroplane, S by Boat and T by Train. So, P only remains. And P travels by Bus.

Place of Travel - R goes to Bangalore, Q to Kolkata, No Bus Transport for Delhi and Chennai. So, P who travels by Bus, goes to Hyderabad. S travels by Boat and not to Delhi. So, he goes to Chennai. And T goes to Delhi, the final one. 

Person	P	Q	R	S	T
Place	Hyderabad	Kolkata	Bangalore	Chennai	Delhi
Mode	Bus	Aeroplane	Car	Boat	Train

1. Clearly, the incorrect combination is T - Aeroplane. So, the answer is (c).

2. Clearly, the correct combination is S - Chennai. So, the answer is (c).

3. Clearly, the incorrect combination is Delhi - Bus. So, the answer is (a).

4. Clearly, T traveled by Train to Delhi. So, the answer is (b).

5. Clearly, T traveled to Delhi. So, the answer is (c).

Time to Think:

There are six persons - A, B, C, D, E and F in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D's optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A's subjects but in terms of compulsory and optional subjects, they are just reverse of those of D's. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. 

1. What is C's compulsory subject?
a) History   b) Physics   c) Chemistry   d) English   e) Mathematics

2. Who is the female member in the group?
a) A     b) B     c) C     d) D     e) E

3. Which of the following has same compulsory and optional subjects as those of F's?
a) D     b) B     c) A     d) C     e) None of these

4. Disregarding which is the compulsory and which is optional subject, who has the same two subject combination as F?
a) A     b) B     c) E     d) D     e) None of these

5. Which of the following groups has History as the compulsory subject?
a) A, C, D    b) B, C, D    c) C, D    d) A, B, C    e) A, D

Quants 18 - Profit and Loss

Practice Questions:

Question 1:

By selling a watch for ` 495, a shopkeeper incurs a loss of 10%. Find the cost price of the watch for the shopkeeper.

Selling Price = 495

Loss = 10%

Cost Price = ?

0.9 × CP = 495 

CP = 495 / 0.9 = 495 / (9/10) = 495 * 10 / 9 = 550.

Question 2:

By selling a cap for ` 34.40, a man gains 7.5%. What will be the CP of the cap?

Selling Price = 34.40

Gain = 7.5%

Cost Price = ?

The SP = 107.5% of the CP. Thus, CP = 34.4/1.075 = 32.

Question 3:

A machine costs ` 375. If it is sold at a loss of 20%, what will be its cost price as a percentage of its selling price?

A loss of 20% means a cost price of 100 corresponding to a selling price of 80. CP as a percentage of the SP would then be 125%

Question 4:

A shopkeeper sold goods for ` 2400 and made a profit of 25% in the process. Find his profit per cent if he had sold his goods for ` 2040.

2400 = 1.25 × cost price Æ Cost price = 1920

Profit at 2040 = ` 120

Percentage profit = (120/2040) × 100 = 6.25%

Question 5:

A digital diary is sold for ` 935 at a profit of 10%. What would have been the actual profit or loss on it, if it had been sold for ` 810?

CP = 935/1.1 = 850. Selling this at 810 would mean a loss of `40 on a CP of ` 850.

Time to Think:

A cellular phone when sold for ` 4600 fetches a profit of 15%. Find the cost price of the cellular phone.