Question
A bottle of shampoo is sold at 18% profit and a bottle
of conditioner at 12% profit. If profit on selling 4 bottles of shampoo and 5 of conditioner is Rs. 60, and profit on selling 3 bottles of shampoo and 6 conditioners is Rs. 63, what is the approximate cost price of a shampoo bottle?Solution
ATQ,
Let S = cost of shampoo, C = cost of conditioner. Profit/bottle: 18% of S = (9/50)S, 12% of C = (3/25)C. Equations from profits: 4·(9/50)S + 5·(3/25)C = 60 3·(9/50)S + 6·(3/25)C = 63 Multiply both by 50: 36S + 30C = 3000 27S + 36C = 3150 Solve: (216S + 180C = 18000) − (135S + 180C = 15750) ⇒ 81S = 2250 ⇒ S = 2250/81 = 250/9 ≈ ₹27.78 or approx. 27
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