Question
Kunal bought two gadgets for Rs. 8,400. He sold one at a
profit of 40% and the other at a loss of 15%. If his overall profit is 12.5%, find the cost price of the gadget sold at 15% loss.Solution
ATQ, Let cost price of the gadget sold at a profit of 40% = Rs. x Cost price of the gadget sold at a loss of 15% = Rs. (8400 − x) ATQ, (1.40 × x) + {0.85 × (8400 − x)} = 1.125 × 8400 Or, 1.40x + 7140 − 0.85x = 9450 Or, 0.55x = 2310 So, x = 4200 Therefore, cost price of the gadget sold at a loss of 15% = 8400 − 4200 = Rs. 4,200
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