Question
Rice worth₹43/kg and₹67/kg are mixed with a third
variety in the ratio 2 : 1 : 5. If the mixture is worth₹96/kg, the price (in ₹) of the third variety of rice per kg will be:Solution
Given: Price of 1st variety = ₹43/kg Price of 2nd variety = ₹67/kg Price of 3rd variety = ₹x/kg (to find) Ratio = 2 : 1 : 5 Price of mixture = ₹96/kg ATQ, Let price of 3rd variety = x (2×43 + 1×67 + 5×x)/8 = 96 (86 + 67 + 5x)/8 = 96 (153 + 5x) = 768 5x = 615 x = 123
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