# Aptitude Questions with explanations PROFIT AND LOSS - Solved Problems 1

##
**Aptitude Questions with
Solutions Profit and Loss - Solved Problems 1**
An article is bought for
Rs 2000 and sold for Rs 2400. What is the gain or loss?
a)Rs
400
b)Rs
300
c)Rs 250 d)Rs 500
Answer: A
Explanation: Cost
price = Rs 2000 Selling price = Rs 2400
Profit = SP –CP = Rs 2400
–Rs 2000
= Rs 400

**Quantitative
Aptitude Profit and Loss - Solved Question 2**
A camera was bought for
Rs 16000 and sold for Rs 18000. Find the profit % ?
a) 10%
b)12.5%
c)18% d)20%
Answer: B
Explanation: CP = Rs 16000 SP = Rs 20000
Profit = SP –CP= Rs 18000 – Rs 16000
= Rs 2000
Profit % =
Profit
CP
X 100%
=
2000
16000
X 100%
= 12.5%

**Aptitude Questions with
Solutions Profit and Loss - Solved Question 3**
Ramesh bought an article
for Rs 4500 and sold it for Rs Rs 4000. Find his profit or loss %?
a)9
1/11%
b)11
c) 10%
b)11 1/9%
**Answer: D**
Explanation: Here SP< CP , there is a loss
Loss = CP – SP
= Rs 4500 –Rs 4000
= Rs 500
Loss % =
Loss
CP
x 100%
=
500
4500
x 100%
=
1
9
x 100%
= 11
1
9
%

**Aptitude Questions &
Explanations Profit and Loss - Solved Question 4**
The cost price of an
article is Rs 20,000 and sold at a profit of 20%. Find the selling price?
a) Rs
22000
b)Rs
24000
c) Rs 25000
d) Rs 26000
Answer : B
Explanation : CP = Rs 20000 Profit% = 20%
Selling price = CP X
(100 + profit%)
100
= Rs 20000 x
(100 + 20)
100
= Rs 20000 x
120
100
= Rs 24000

**Quantitative Aptitude
Questions Profit and Loss - Solved Problems 5**
An article is bought for
Rs 9000 and sold at a loss of 15%. Find the selling price?
a) Rs
7650
b) Rs
8000
c)Rs 8100
d)Rs 7500
Answer : A
Explanation :
CP = Rs 9000 and Loss % = 15%
SP = CP X
(100- Loss%)
100
= Rs 9000 x
(100-15)
100
= Rs 9000 x
85
100
= Rs 7650
**Aptitude Questions with
Solutions Profit and Loss - Solved Problem 6**
By selling an article
for Rs 3300, a merchant gains 10%. What is the cost price of the article?
a) Rs
3000
b) Rs
3200
c)Rs 2800 `d)Rs 3150
Answer: A
Explanation:

Here the sell price is Rs 3300 and profit
% = 10%
CP = SP X
(100+Profit%)
100
= Rs 3300 x
(100+10)
100
= Rs 3300 x
110
100
= Rs 3000

**Quantitative Aptitude
Questions**** ****Profit and
Loss - Solved Problems**** ****7**
By selling a TV for Rs
14400, Sharma loses 10%. What is the cost price of the TV?
a)Rs
12000
b)Rs
15000
c)Rs 16000
d)Rs 18000
Answer : C
Explanation: Given SP = Rs
14400 Loss% = 10%
CP= SP X
100
(100-Loss%)
= Rs 14400 x
100
(100-10)
= Rs 14400 x
100
90
= Rs 160000
**Aptitude Questions with
Solutions Profit and Loss - Solved Problem 8**
A sells a camera to B at
at profit of 20% and B sells it to C at a profit of 25%. If C pays Rs 450, what
price did A pay for the camera ?
a)Rs
300
b)Rs
350
c)Rs 400
d)Rs 450
Answer: A
Explanation : Let the cost price to A be A.
A sold to B at 20%
profit and B sold to C at 25% profit.
SP = A X
(100+20)
100
X
(100+25)
100
450 = A X
120
100
X
125
100
A
= Rs 300
**Aptitude Questions with
Solutions Profit and Loss - Solved Problem 9**
A person buys apples at 10
for Rs.180 and sells them at 11 for Rs. 200. What is his gain or loss per cent?

a)1%
profit
b)1.01% loss c)2%
loss
d)1.01% profit
Answer:
D
Explanation: Here the number of apples bought and
sold is not equal. So we cannot find the profit or loss%.
To find
profit or loss , we have to make the number of apples bought and sold are equal
To do this , we take , LCM
of 10 and 11 = 110

CP of 110 Apples = 110×180 = Rs. 1980
SP of 110 Apples
= 110×200 = Rs. 2000
Profit = Rs 2000 - Rs 1980
= Rs 20
Profit % =
(20
1980
×100 = 1.01%.

**Aptitude Questions with
Solutions Profit and Loss - Solved Problem 10**
A bike is sold for Rs
50600 at a gain of 10%.What would have been the profit or loss percent if it
had been sold for Rs 43700?
a) 10%
loss
b)10% profit c)5% profit d)5% loss
Answer: D
Explanation : Let CP be 100 %
SP = CP + P=> 100% + 10% = 110%
SP => 110 % = Rs 50600
CP => 100% = Rs
50600
110
x 100
= Rs 46000
2^{nd} selling price is
Rs 43700 . There will be loss because SP< CP
Loss = CP – SP = Rs 46000 - Rs 43700 = Rs 2300
Loss % =
Loss
CP
x 100%
=
2300
46000
x 100
= 5%

**Aptitude Questions with
Solutions Profit and Loss - Solved Question 11**
A dishonest merchant
professes to sell his goods at cost price, but uses a weight of 800 grams for
one kg. weight. What is his profit per cent?
a) 12.5%
b)
15%
c)25% d)30%
Answer : C
Explanation :
Assume 1gm costs 1
rupee. The merchant gives 800 grams charging the price of 1000 grams.
His gain is 100 grams on
every 800 grams. i.e., for Rs.800 investment his gain is Rs.200.
Therefore, Profit percent
=
200
800
×100=25%

**Aptitude Questions with
Solutions Profit and Loss - Solved Problems 12**
A
dishonest dealer sells his goods at the cost price and still earns 25% profit
by false weight. What weight does the dealer use for a kg?
a) 750
grams
b) 800 grams c)825
grams d) 850
grams
Answer
B
Explanation : Let he defrauds x grams per kg
Here Profit%=25
Then
x
100-x
=25

Solving , x = 200
He uses 1000-200= 800 grams instead of 1 kg
= 800 grams

**Aptitude Questions with
Solutions Profit and Loss - Question 13**
A person buys apples at 10
for Rs.180 and sells them at 11 for Rs. 200. What is his gain or loss per cent?

a)1%
profit
b)1.01% loss c)2%
loss
d)1.01% profit
Answer:
D
Explanation: Here the number of apples bought and
sold is not equal. So we cannot find the profit or loss%.
To find
profit or loss , we have to make the number of apples bought and sold are equal
To do this , we take , LCM
of 10 and 11 = 110

CP of 110 Apples = 110×180 = Rs. 1980
SP of 110 Apples
= 110×200 = Rs. 2000
Profit = Rs 2000 - Rs 1980
= Rs 20
Profit % =
20
1980
×100 = 1.01%.

Short cut : If a person bought A article for B
rupees and sold C articles for D ruppes , then profit or loss % =
(AD - BC)
BC
X 100%
Here bought 10 apples at Rs 180 and sold 11 at Rs 200
Profit or loss$ =
(10 X 200)- (11 X 180)
11 X 180
x 100% =
1.01%

**Aptitude Questions with
Explanations Profit and Loss - Question 14**
The
cost price of 20 apples is equal to the selling price of 25 apples. Find the
profit or loss ?
a) 20%
loss b)25% profit
c) 20% profit
d)25% loss
Answer:
A
Explanation:
Let CP of
each apple is Rs 1. Then CP of 20 apples is Rs 20.
CP of 25
apples = Rs 25
But SP of
25 apples = CP of 20 apples
His investment for 25 apples is Rs 25 but he got only the CP of 20 apples
Rs 20
So his
investment is Rs 25 and income is Rs 20
So there
is a loss
Loss % =
5
25
x 100%
= 20% loss
Alternate Method: If
cost price m articles are equal to selling price of n articles
Then profit or loss % =
(m-n)
n
x 100%
=
(20-25)
25
x 100%
= - (
5
25
) x 100% = 20% loss

**Arithmetic Questions
with Explanations Profit and Loss - Question 15**
The
cost price of 6 apples is equal to the Selling price of 4 apples .Find the gain
or loss%
a)25%gain
b)25%
loss
c)50% loss
d)50% gain
Answer: D
Explanation:
Given CP of 6 apples = SP of 4 apples
If cost
price m articles are equal to selling price of n articles
Then profit or loss % =
(m-n)
n
x 100%
=
(6-4)
4
x 100%
=
2
4
x 100% = 50% gain.

**Aptitude Questions with
Answers Profit and Loss - Question 16**
On
selling an article for Rs 1020, a merchant loses 15%. For how much price should
he sell the article to gain 12% on it ?
a)Rs
1344
b)Rs
1400
c)Rs 1200
d)Rs 1500
Answer: A
Explanation: SP= Rs 1050 Loss = 15%
Let CP = 100%
Ã° SP = CP – Loss% = 100%
- 15% = 85%
85% = Rs
1020
Therefore
Cost Price = 100% = 1020/85 x 100 = 1200
To get 12% gain => SP =
CP + Profit %
= 100 % + 12 %

=>
112 % =
1200
100
x 112 = Rs 1344
By
selling 44 meters of cloth, a merchant gains the selling price of 11 meters.
What is the gain%?
Let CP of
each meter is Rs 1.
He sold
44 meters cloth, so CP of 44 meters cloth = Rs 44.

**Aptitude Questions with
Explanations Profit and Loss - Question 17.**
The profit obtained by
selling an article for Rs 960 is same as the loss obtained by selling for Rs
600. What is the cost price of the article ?
a) Rs 840 b)Rs
780
c)Rs
800
d)Rs 750
Answer: B
Explanation : Here
profit and loss are same
Profit = Loss
SP –CP = CP –SP
960
–CP = CP – 600
2
CP = 1560
CP=
780

**Aptitude Questions with
Solutions Profit and Loss - Question 18.**
The profit obtained by
selling an article for Rs 480 is twice the loss obtained by selling for Rs 300.
What is the cost price of the article?
b) Rs 400 b)Rs
420
c)Rs 360 d)Rs 350
Answer: B
Explanation : Here
pofit is the twice the loss
Profit = 2 Loss
SP –CP = 2 (CP – SP)
480
–CP = 2(CP – 300)
3
CP = 1080
CP=
360
**Arithmetic Questions and
Answers - Profit and Loss - Solved Problems 19**
A bookseller sold a book
at 12% profit. Had he sold it Rs 36 more , 18% would have been gained . What is
the cost proce ?
a) Rs
600 b) Rs
540
c)Rs
660
d)Rs 800
Answer : A
Explanation : Let the cost price be 100%
112 % of the cost price + 36 = 118% of the Cost price
6% of the cost price = Rs 36
Cost price of the book =
36
6
x 100 =
600

**Aptitude Questions with
Solutions Profit and Loss Question 20**
A merchant sold an
article at 10% loss. If he had sold it Rs 450 more , 8% would have been
gained on the cost price. Find the cost price ?
a) Rs
1200
b) Rs
1800
c)Rs 1500
d) Rs 2500
Answer : D
Explanation : Let the cost price be 100%. It is sold
at 10% loss. So it is sold at 90% of the cost price.
90 % of the cost price + 450 = 108% of the Cost price
18% of the cost price = Rs 450

Cost price of the book =
450
18
x 100 =
Rs 2500

**Aptitude Questions with Solutions Profit and Loss - Solved Problems 1**

An article is bought for
Rs 2000 and sold for Rs 2400. What is the gain or loss?

a)Rs
400
b)Rs
300
c)Rs 250 d)Rs 500

Answer: A

Explanation: Cost
price = Rs 2000 Selling price = Rs 2400

Profit = SP –CP = Rs 2400
–Rs 2000

= Rs 400

**Quantitative Aptitude Profit and Loss - Solved Question 2**

A camera was bought for
Rs 16000 and sold for Rs 18000. Find the profit % ?

a) 10%
b)12.5%
c)18% d)20%

Answer: B

Explanation: CP = Rs 16000 SP = Rs 20000

Profit = SP –CP= Rs 18000 – Rs 16000

= Rs 2000

Profit % =

Profit
CP

X 100%
=

2000
16000

X 100%
= 12.5%

**Aptitude Questions with Solutions Profit and Loss - Solved Question 3**

Ramesh bought an article
for Rs 4500 and sold it for Rs Rs 4000. Find his profit or loss %?

a)9
1/11%
b)11
c) 10%
b)11 1/9%

**Answer: D**

Explanation: Here SP< CP , there is a loss

Loss = CP – SP

= Rs 4500 –Rs 4000

= Rs 500

Loss % =

Loss
CP

x 100%
=

500
4500

x 100%
=

1
9

x 100%
= 11

1
9

%**Aptitude Questions & Explanations Profit and Loss - Solved Question 4**

The cost price of an
article is Rs 20,000 and sold at a profit of 20%. Find the selling price?

a) Rs
22000
b)Rs
24000
c) Rs 25000
d) Rs 26000

Answer : B

Explanation : CP = Rs 20000 Profit% = 20%

Selling price = CP X

(100 + profit%)
100

= Rs 20000 x

(100 + 20)
100

= Rs 20000 x

120
100

= Rs 24000

**Quantitative Aptitude Questions Profit and Loss - Solved Problems 5**

An article is bought for
Rs 9000 and sold at a loss of 15%. Find the selling price?

a) Rs
7650
b) Rs
8000
c)Rs 8100
d)Rs 7500

Answer : A

Explanation :
CP = Rs 9000 and Loss % = 15%

SP = CP X

(100- Loss%)
100

= Rs 9000 x

(100-15)
100

= Rs 9000 x

85
100

= Rs 7650

**Aptitude Questions with Solutions Profit and Loss - Solved Problem 6**

By selling an article
for Rs 3300, a merchant gains 10%. What is the cost price of the article?

a) Rs
3000
b) Rs
3200
c)Rs 2800 `d)Rs 3150

Answer: A

Explanation:

Here the sell price is Rs 3300 and profit % = 10%

Here the sell price is Rs 3300 and profit % = 10%

CP = SP X

(100+Profit%)
100

= Rs 3300 x

(100+10)
100

= Rs 3300 x

110
100

= Rs 3000

**Quantitative Aptitude Questions**

**Profit and Loss - Solved Problems**

**7**

By selling a TV for Rs
14400, Sharma loses 10%. What is the cost price of the TV?

a)Rs
12000
b)Rs
15000
c)Rs 16000
d)Rs 18000

Answer : C

Explanation: Given SP = Rs
14400 Loss% = 10%

CP= SP X

100
(100-Loss%)

= Rs 14400 x

100
(100-10)

= Rs 14400 x

100
90

= Rs 160000

**Aptitude Questions with Solutions Profit and Loss - Solved Problem 8**

A sells a camera to B at
at profit of 20% and B sells it to C at a profit of 25%. If C pays Rs 450, what
price did A pay for the camera ?

a)Rs
300
b)Rs
350
c)Rs 400
d)Rs 450

Answer: A

Explanation : Let the cost price to A be A.

A sold to B at 20%
profit and B sold to C at 25% profit.

SP = A X

(100+20)
100

X
(100+25)
100

450 = A X

120
100

X
125
100

A
= Rs 300

**Aptitude Questions with Solutions Profit and Loss - Solved Problem 9**

A person buys apples at 10
for Rs.180 and sells them at 11 for Rs. 200. What is his gain or loss per cent?

a)1% profit b)1.01% loss c)2% loss d)1.01% profit

a)1% profit b)1.01% loss c)2% loss d)1.01% profit

Answer:
D

Explanation: Here the number of apples bought and
sold is not equal. So we cannot find the profit or loss%.

To find
profit or loss , we have to make the number of apples bought and sold are equal

To do this , we take , LCM
of 10 and 11 = 110

CP of 110 Apples = 110×180 = Rs. 1980

CP of 110 Apples = 110×180 = Rs. 1980

SP of 110 Apples
= 110×200 = Rs. 2000

Profit = Rs 2000 - Rs 1980
= Rs 20

Profit % =

(20
1980

×100 = 1.01%.**Aptitude Questions with Solutions Profit and Loss - Solved Problem 10**

A bike is sold for Rs
50600 at a gain of 10%.What would have been the profit or loss percent if it
had been sold for Rs 43700?

a) 10%
loss
b)10% profit c)5% profit d)5% loss

Answer: D

Explanation : Let CP be 100 %

SP = CP + P=> 100% + 10% = 110%

SP => 110 % = Rs 50600

CP => 100% = Rs

50600
110

x 100
= Rs 46000

2

^{nd}selling price is Rs 43700 . There will be loss because SP< CP
Loss = CP – SP = Rs 46000 - Rs 43700 = Rs 2300

Loss % =

Loss
CP

x 100%
=

2300
46000

x 100
= 5%

**Aptitude Questions with Solutions Profit and Loss - Solved Question 11**

A dishonest merchant
professes to sell his goods at cost price, but uses a weight of 800 grams for
one kg. weight. What is his profit per cent?

a) 12.5%
b)
15%
c)25% d)30%

Answer : C

Explanation :

Assume 1gm costs 1
rupee. The merchant gives 800 grams charging the price of 1000 grams.

His gain is 100 grams on
every 800 grams. i.e., for Rs.800 investment his gain is Rs.200.

Therefore, Profit percent
=

200
800

×100=25%**Aptitude Questions with Solutions Profit and Loss - Solved Problems 12**

A
dishonest dealer sells his goods at the cost price and still earns 25% profit
by false weight. What weight does the dealer use for a kg?

a) 750
grams
b) 800 grams c)825
grams d) 850
grams

Answer
B

Explanation : Let he defrauds x grams per kg

Here Profit%=25

Then

Solving , x = 200

x
100-x

=25Solving , x = 200

He uses 1000-200= 800 grams instead of 1 kg
= 800 grams

**Aptitude Questions with Solutions Profit and Loss - Question 13**

A person buys apples at 10
for Rs.180 and sells them at 11 for Rs. 200. What is his gain or loss per cent?

a)1% profit b)1.01% loss c)2% loss d)1.01% profit

a)1% profit b)1.01% loss c)2% loss d)1.01% profit

Answer:
D

Explanation: Here the number of apples bought and
sold is not equal. So we cannot find the profit or loss%.

To find
profit or loss , we have to make the number of apples bought and sold are equal

To do this , we take , LCM
of 10 and 11 = 110

CP of 110 Apples = 110×180 = Rs. 1980

CP of 110 Apples = 110×180 = Rs. 1980

SP of 110 Apples
= 110×200 = Rs. 2000

Profit = Rs 2000 - Rs 1980
= Rs 20

Profit % =

20
1980

×100 = 1.01%.
Short cut : If a person bought A article for B
rupees and sold C articles for D ruppes , then profit or loss % =

(AD - BC)
BC

X 100%
Here bought 10 apples at Rs 180 and sold 11 at Rs 200

Profit or loss$ =

(10 X 200)- (11 X 180)
11 X 180

x 100% =
1.01%**Aptitude Questions with Explanations Profit and Loss - Question 14**

The
cost price of 20 apples is equal to the selling price of 25 apples. Find the
profit or loss ?

a) 20%
loss b)25% profit
c) 20% profit
d)25% loss

Answer:
A

Explanation:

Let CP of
each apple is Rs 1. Then CP of 20 apples is Rs 20.

CP of 25
apples = Rs 25

But SP of
25 apples = CP of 20 apples

His investment for 25 apples is Rs 25 but he got only the CP of 20 apples
Rs 20

So his
investment is Rs 25 and income is Rs 20

So there
is a loss

Loss % =

5
25

x 100%
= 20% loss

Alternate Method: If
cost price m articles are equal to selling price of n articles

Then profit or loss % =

(m-n)
n

x 100%
=

(20-25)
25

x 100%
= - (

5
25

) x 100% = 20% loss**Arithmetic Questions with Explanations Profit and Loss - Question 15**

The
cost price of 6 apples is equal to the Selling price of 4 apples .Find the gain
or loss%

a)25%gain
b)25%
loss
c)50% loss
d)50% gain

Answer: D

Explanation:

Given CP of 6 apples = SP of 4 apples

If cost
price m articles are equal to selling price of n articles

Then profit or loss % =

(m-n)
n

x 100%
=

(6-4)
4

x 100%
=

2
4

x 100% = 50% gain.**Aptitude Questions with Answers Profit and Loss - Question 16**

On
selling an article for Rs 1020, a merchant loses 15%. For how much price should
he sell the article to gain 12% on it ?

a)Rs
1344
b)Rs
1400
c)Rs 1200
d)Rs 1500

Answer: A

Explanation: SP= Rs 1050 Loss = 15%

Let CP = 100%

Ã° SP = CP – Loss% = 100%
- 15% = 85%

85% = Rs
1020

Therefore
Cost Price = 100% = 1020/85 x 100 = 1200

To get 12% gain => SP =
CP + Profit %

= 100 % + 12 %

=> 112 % =

=> 112 % =

1200
100

x 112 = Rs 1344
By
selling 44 meters of cloth, a merchant gains the selling price of 11 meters.
What is the gain%?

Let CP of
each meter is Rs 1.

He sold
44 meters cloth, so CP of 44 meters cloth = Rs 44.

**Aptitude Questions with Explanations Profit and Loss - Question 17.**

The profit obtained by
selling an article for Rs 960 is same as the loss obtained by selling for Rs
600. What is the cost price of the article ?

a) Rs 840 b)Rs
780
c)Rs
800
d)Rs 750

Answer: B

Explanation : Here
profit and loss are same

Profit = Loss

SP –CP = CP –SP

960
–CP = CP – 600

2
CP = 1560

CP=
780

**Aptitude Questions with Solutions Profit and Loss - Question 18.**

The profit obtained by
selling an article for Rs 480 is twice the loss obtained by selling for Rs 300.
What is the cost price of the article?

b) Rs 400 b)Rs
420
c)Rs 360 d)Rs 350

Answer: B

Explanation : Here
pofit is the twice the loss

Profit = 2 Loss

SP –CP = 2 (CP – SP)

480
–CP = 2(CP – 300)

3
CP = 1080

CP=
360

**Arithmetic Questions and Answers - Profit and Loss - Solved Problems 19**

A bookseller sold a book
at 12% profit. Had he sold it Rs 36 more , 18% would have been gained . What is
the cost proce ?

a) Rs
600 b) Rs
540
c)Rs
660
d)Rs 800

Answer : A

Explanation : Let the cost price be 100%

112 % of the cost price + 36 = 118% of the Cost price

6% of the cost price = Rs 36

Cost price of the book =

36
6

x 100 =
600**Aptitude Questions with Solutions Profit and Loss Question 20**

A merchant sold an
article at 10% loss. If he had sold it Rs 450 more , 8% would have been
gained on the cost price. Find the cost price ?

a) Rs
1200
b) Rs
1800
c)Rs 1500
d) Rs 2500

Answer : D

Explanation : Let the cost price be 100%. It is sold
at 10% loss. So it is sold at 90% of the cost price.

90 % of the cost price + 450 = 108% of the Cost price

18% of the cost price = Rs 450

Cost price of the book =

450
18

x 100 =
Rs 2500