Correct Answer - Option 2 : 12
Given:
The cost price of 15 articles is the same as the selling price of A articles
profit is 25%
Formula Used:
Profit = S.P - C.P
Profit% = (Profit/C.P) × 100
Where, C.P = Cost price and S.P = Selling price
Calculation:
Let the cost price of each Article be Rs. 1
According to the question:
⇒ C.P of A Article = Rs. A
⇒ S.P of A Article = C.P of 15 Articles = 15 × 1 = Rs. 15
⇒ Profit = S.P - C.P
⇒ Profit = 15 - A
Now,
⇒ Profit% = {(Profit/C.P)} × 100
⇒ 25 = {(15-A)/A } × 100
⇒ 25A = (15 - A) × 100
⇒ A = 60 - 4A
⇒ 5A = 60
⇒ A = 12
∴ The required A Value is 12.