Question

If the cost price of 100 notebooks is the same as the selling price of 80 notebooks, what is the percent gain?
1. 15 %
2. 30 %
3. 25 %
4. 20 %

Answer 1

Correct Answer - Option 3 : 25 %

Given:

Cost price of 100 notebooks = Selling price of 80 Note Books

Formula used:

\({\rm{Profit\;\% }} = \frac{{{\rm{Profit}}}}{{{\rm{Cost\;price}}}} × 100\)

Profit = Selling price(S.P.) - Cost Price(C.P.)

Calculation:

Let C.P. of 100 notebooks be 100x 

S.P. of 80 notebooks be 80x

C.P. × 100x = S.P. × 80x

⇒ C.P./S.P. = 80/100 = 4/5

Profit = 5 - 4 = 1

Profit % = (1/4) × 100 = 25%

∴ The percent Gain is 25%