If the price of mangoes decreases by 40%, a buyer can get 32 more mangoes for ₹120 than before. What was the original price per mango (in ₹)?

Introduction / Context:Here, price falls and quantity bought with a fixed budget rises. We are told by how much the quantity changes, enabling us to back-calculate the original price. This is a standard inverse proportion question combining percentages and unit price logic.

Given Data / Assumptions:Original price = p (₹/mango). New price after 40% decrease = 0.60p. Budget = ₹120. Quantity increase = 32 mangoes.

Concept / Approach:Quantity with original price = 120/p. Quantity with reduced price = 120/(0.60p) = 200/p. Difference = 200/p − 120/p = 80/p. Set 80/p = 32 and solve for p. This avoids messy decimals and yields a clean value.

Step-by-Step Solution:

Verification / Alternative check:At original ₹2.50, 120 buys 48 mangoes. New price = 0.6 * 2.5 = ₹1.50, so 120 buys 80 mangoes. Increase = 32, matching the condition.

Why Other Options Are Wrong:₹2.00 and ₹2.25 do not give a 32-mango increase. ₹3.00 and ₹3.50 are too high and produce smaller increases for a ₹120 budget.

Common Pitfalls:Reducing the budget by 40% instead of the price, or mixing up which quantity grows when price falls. Always apply the percentage change to price only.

Final Answer:₹ 2.50