Question
Download Solution PDFA trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Weight of first variety of rice = 26 kg.
Cost of first variety of rice = Rs. 20 per kg.
Weight of second variety of rice = 30 kg.
Cost of second variety of rice = Rs. 36 per kg.
Selling price of the mixture = Rs. 30 per kg.
Formula Used:
Cost Price (C.P.) of mixture = (Total cost of both varieties) / (Total weight).
Profit % = [(Selling Price (S.P.) - Cost Price (C.P.)) / Cost Price (C.P.)] × 100
Calculation:
Cost of first variety = 26 × 20 = Rs. 520.
Cost of second variety = 30 × 36 = Rs. 1080.
Total cost = 520 + 1080 = Rs. 1600.
Total weight = 26 + 30 = 56 kg.
⇒ Cost Price (C.P.) of mixture = 1600 / 56 = Rs. 28.57 per kg.
⇒ Profit % = [(30 - 28.57) / 28.57] × 100
⇒ Profit % = (1.43 / 28.57) × 100
⇒ Profit % = 0.05 or 5%.
The profit percent is 5%.
Last updated on May 26, 2025
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