A shopkeeper has 90 clocks. He sells 40 clocks at a gain of 10 percent and 50 clocks at a gain of 20 percent. If he had sold all the clocks at a uniform gain of 15 percent, he would have got Rs. 40 less. Find the cost price of each clock.
ARs. 85
BRs. 90
CRs. 80 ✓ Correct
DRs. 100
Correct answer: (C) Rs. 80
Explanation
The cost price of each clock is Rs. 80.
Let cost price of each clock be c.
Actual profit = 40 x 0.10c + 50 x 0.20c = 4c + 10c = 14c.
Uniform 15% profit = 90 x 0.15c = 13.5c.
Extra profit = 14c - 13.5c = 0.5c = 40.
c = 40/0.5 = 80.
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