A person sells 24 mangoes for ₹400 at a loss of 20%. To earn a profit of 20%,…
2026
A person sells 24 mangoes for ₹400 at a loss of 20%. To earn a profit of 20%, how many mangoes should he sell for ₹100?
- A.
2
- B.
3
- C.
4
- D.
5
Attempted by 29 students.
Show answer & explanation
Correct answer: C
For a loss of L% on cost price: Selling Price (SP) = Cost Price (CP) × (1 − L/100), so CP = SP ÷ (1 − L/100).
For a desired profit of P% on cost price: required SP = CP × (1 + P/100).
Cost price of 24 mangoes: CP = ₹400 ÷ (1 − 20/100) = ₹400 ÷ 0.80 = ₹500.
Required total selling price for a 20% profit: SP = ₹500 × 1.20 = ₹600.
Selling price per mango: ₹600 ÷ 24 = ₹25.
Number of mangoes sold for ₹100 at ₹25 each: ₹100 ÷ ₹25 = 4.
Cross-check: selling 4 mangoes at ₹25 each returns exactly ₹100; the cost price per mango is ₹500 ÷ 24 ≈ ₹20.83, and (₹25 − ₹20.83) ÷ ₹20.83 × 100 ≈ 20%, confirming the intended profit margin.
Therefore, he must sell 4 mangoes to collect ₹100 at the required 20% profit.