Question
The combined average cost price of two items, Almonds
and Walnuts, is Rs. 450. If Almonds are sold at a profit of 50% and Walnuts at a loss of 25%, resulting in an overall profit of 10%, determine the cost price of Almonds.Solution
ATQ, The sum of cost price of items 'Almonds' and 'Walnuts' = 450 × 2 = Rs. 900 Let the cost price of item 'Almonds' = Rs.'a' Then, cost price of item 'Walnuts' = Rs.(900 - a) Selling price of item 'Almonds' = a × 1.5 = Rs.'1.5a' Selling price of item 'Walnuts' = (900 - a) × 0.75 = Rs.(675 - 0.75a) Overall profit earned = {1.5a + (675 - 0.75a)} - 900 = 900 × 0.1 Or, 675 + 0.75a - 900 = 90 Or, 0.75a = 990 - 675 So, a = 315 ÷ 0.75 = 420
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