Question

The cost prices 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. 25
2. 18
3. 16
4. 15

Answer 1

Correct Answer - Option 3 : 16

Given:

Profit = 20%

Formula used:

Profit = SP – CP

Profit % = (Profit/CP) × 100

Calculation:

Let the SP of the 1 article be Rs 1

Then, SP of x article = Rs x, and SP of 20 articles = Rs 20

Now, A/Q 

CP of 20 articles = SP of x articles = Rs x

Now, Profit = 20 – x

Profit % = (Profit/CP) × 100

⇒ 25 = {(20 – x)/x} × 100

⇒ x = 4(20 – x)

⇒ x = 80 – 4x

⇒ 5x = 80

⇒ x = 16

∴ The value of x is 16