Question
A seller sold 25% of his goods at a loss of 12%. Then 50% of the remaining goods were sold at a profit of 16% and the rest were sold at a profit of 8%. If the overall profit is Rs. 240, find the total cost price of all goods.
Solution
ATQ, Let the total number of goods = 16 25% of total goods = 16 × 25/100 = 4 50% of remaining goods = 1/2 of (16 − 4) = 1/2 of 12 = 6 Remaining goods = 12 − 6 = 6 Let CP of each good = 100 Total CP = 16 × 100 = 1600 Total SP = 4 × 88 + 6 × 116 + 6 × 108 = 352 + 696 + 648 = 1696 Overall profit % = (1696 − 1600)/1600 × 100 = 6% Given overall profit = Rs. 240 So, total cost price = 240 × 100/6 = Rs. 4000
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