Question
Download Solution PDFIn what ratio should sugar costing ₹27 per kg be mixed with sugar costing ₹55 per kg so that by selling the mixture at ₹57.6 per kg, there is a profit of 44%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of sugar 1 = ₹27 per kg
Cost of sugar 2 = ₹55 per kg
Selling price of mixture = ₹57.6 per kg
Profit = 44%
Formula used:
Cost price of mixture = Selling price / (1 + Profit/100)
Mean price = Cost price of mixture
Ratio = (Price of costlier sugar - Mean price) : (Mean price - Price of cheaper sugar)
Calculation:
Cost price of mixture = 57.6 / (1 + 44/100)
⇒ Cost price of mixture = 57.6 / 1.44
⇒ Cost price of mixture = ₹40
Mean price = ₹40
Ratio = (55 - 40) : (40 - 27)
⇒ Ratio = 15 : 13
∴ The correct answer is option (1).
Last updated on Jul 16, 2025
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