Question

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:

1. 18
2. 17
3. 16
4. 20

Answer 1

Correct Answer - Option 3 : 16

Given:

Profit = 25%

C.P of 20 articles is equal to the S.P of x articles

Where, C.P = Cost price, S.P = Selling price

Formula used:

Profit% = [(S.P – C.P)/ C.P] × 100

Calculation: 

C.P × 20 = S.P × x

S.P/C.P = 20/x

Profit % = [(20 – x)/x] × 100

⇒ 2000 – 100x = 25x

⇒ 125x = 2000

∴ The value of ‘x’ is 16.