Question
Download Solution PDFA shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn 20%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn 20%?
Formula used:
Selling Price (SP) = Cost Price (CP) × (1 + Profit Percentage)
Calculation:
Total wheat = 1800 kg
Cost Price (CP) = ₹32,400
Wheat spoiled = 20% of 1800 kg
⇒ Wheat spoiled = 0.20 × 1800 = 360 kg
Remaining wheat = 1800 - 360 = 1440 kg
Desired Profit = 20%
Selling Price (SP) = CP × (1 + 0.20)
⇒ SP = ₹32,400 × 1.20
⇒ SP = ₹38,880
Rate per kg = SP / Remaining wheat
⇒ Rate per kg = ₹38,880 / 1440 kg
⇒ Rate per kg = ₹27
∴ The correct answer is option (3).
Last updated on Jun 26, 2025
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