# Profit and Loss

1. If selling price is doubled, the profit triples. Find the profit percent ?

A. 100%

B. 200%

C. 300%

D. 400%

Explanation:

CP       SP     Profit
100       x       x - 100
100      2x     2x - 100

Given, 2x - 100 = 3(x - 100)
= 3x - 300
x = 200
Profit % = (200 - 100)/100*100 = 100%

2. If the cost price of 12 articles is equal to the selling price of 8 articles, the gain percent is ?

A. 12%

B. 30%

C. 50%

D. 60%

Explanation:

CP*12 = SP*8
SP/CP = 12/8 = 3/2
Profit % = (SP - CP)/CP*100
= (SP/CP)-1 * 100
= (3/2 - 1) *100 = 50%

3. 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:

A. 15

B. 16

C. 18

D. 25

Explanation:

CP*20 = SP*x
Profit % = (SP - CP)/CP*100
= [(SP/CP) - 1] * 100
= (20/x - 1) *100 = 25%
20/x - 1 = 1/4
20/x = 5/4
x = 16

4. A Shopkeeper sells two articles at Rs. 2000 each, making a profit of 20% on the first article and a loss of 20% on the other. Find the net Profit or loss that he makes?

A. 4%

B. 5%

C. 6%

D. 8%

Explanation:

SP of first article = Rs.2000
Profit = 20%
CP * 120% = SP
CP = SP/120% = 2000/(120/100)
= 5000/3

SP of Second Article = Rs. 2000
Loss = 20%
CP*80% = SP
CP = SP/80% = 2000/(80/100)
= 2500

CP of both article = 5000/3 + 2500
= 2500*(5/3)

Loss = 2500*(5/3) - 4000 = 500/3
% Loss = [(500/3)/2500*(5/3)]*100
= 4%

5. What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?

A. 30%

B. 25%

C. 15%

D. 20%