Q. The cost price of 40 oranges is equal to the selling price of 30 oranges. Find the percentage profit.

Correct Answer: (D) 33.33%

Explanation:

1. Given:
– The cost price (CP) of 40 oranges is equal to the selling price (SP) of 30 oranges.
– We need to find the percentage profit.

2. Let’s Assume:
– Let the cost price per orange be C.
– Therefore, the total cost price for 40 oranges is 40C.
– Let the selling price per orange be S.
– Therefore, the total selling price for 30 oranges is 30S.

3. Setting Up the Equation:
40C = 30S
⇒ S = 40C / 30 = 4C / 3

4. Calculating Profit:
– Profit per orange is:
S – C = (4C / 3) – C = (4C – 3C) / 3 = C / 3
– Profit Percentage is:
(Profit / Cost Price) × 100% = (C / 3) / C × 100% = (1 / 3) × 100% ≈ 33.33%

Answer: (D) 33.33%