Profit and Loss — The cost price of 24 apples equals the selling price of 18 apples. Determine the overall percentage gain.

Introduction / Context: Equal-value relationships across different counts translate directly to the SP/CP unit ratio. From that ratio, the gain% follows immediately.

Given Data / Assumptions:

• 24 * CP_unit = 18 * SP_unit

Concept / Approach: SP_unit / CP_unit = 24/18 = 4/3 = 1.333..., meaning a 33.333...% gain over cost.

Step-by-Step Solution:

Verification / Alternative check: Let CP_unit = ₹ 3 ⇒ cost for 24 apples = ₹ 72. Then SP_unit = ₹ 4 ⇒ revenue for 18 apples = ₹ 72. For all apples at SP_unit, gain% would be ((4 − 3)/3)*100 = 33.333...%.

Why Other Options Are Wrong: 12.5%, 14.666...%, 16.666...%, and 25% do not match the exact 4/3 ratio implication.

Common Pitfalls: Subtracting numbers of apples instead of forming the SP/CP ratio per unit.

Final Answer: 33.333...%