Question
Meena bought two articles for Rs. 9,600. She sold one at
a profit of 30% and the other at a loss of 20%. If her overall profit on selling both articles is 5%, then find the cost price of the article sold at 20% loss.Solution
ATQ, Let cost price of the article sold at 30% profit = Rs. x Cost price of the article sold at 20% loss = Rs. (9600 − x) Overall selling price = 105% of 9600 = (105/100) × 9600 = 10080 ATQ, (130/100)x + (80/100)(9600 − x) = 10080 Multiply by 100, 130x + 80(9600 − x) = 1008000 130x + 768000 − 80x = 1008000 50x = 240000 x = 4800 Therefore, cost price of the article sold at 20% loss = 9600 − 4800 = Rs. 4800
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