The selling price of 34 articles is equal to the cost price of 38 articles. What is the gain percentage?

Explanation

Given: The selling price of 32 items is equal to the cost price of 38 items. Concept used: Profit% = (SP - CP)/CP × 100 Calculation: Let the cost price of each item be Rs. Q. Cost price of 34 items = 34 × Q = Rs. 34Q Cost price of 38 items = 38 × Q = Rs. 38Q The selling price of 34 items = Rs. 38Q Now, profit% = (38Q - 34Q)/34Q × 100 ⇒ 4/34 × 100 ⇒ 200/17% ⇒ 11(13/17)% ∴ The profit percentage is 11(13/17)%