# Aptitude - Profit and Loss

Exercise : Profit and Loss - General Questions
1.
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
 4 4 % 7
 5 5 % 11
10%
12%
Explanation:

Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.

 Gain % = 300 x 100 % = 5 5 % 5500 11

2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
15
16
18
25
Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).  20 - x x 100 = 25 x 2000 - 100x = 25x

125x = 2000 x = 16.

Video Explanation: https://youtu.be/sidqvjUoZxY

3.
If selling price is doubled, the profit triples. Find the profit percent.
 66 2 3
100
 105 1 3
120
Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x) y = 2x.

Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x. Profit % = x x 100 % = 100% x

Video Explanation: https://youtu.be/dPzF10mGsWE

4.
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
30%
70%
100%
250%
Explanation:

Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295. Required percentage = 295 x 100 % = 1475 % = 70% (approximately). 420 21

Video Explanation: https://youtu.be/bQA8SB8ycbw

5.
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
3
4
5
6
 For Re. 1, toffees sold = 6 x 5 = 5. 6