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Question

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:



Your Answer
A

Rs. 50

Your Answer
B

Rs. 60

Correct Answer
C

Rs. 80

Your Answer
D

Rs. 90

Your Answer
E

Rs. 70


Solution

The correct option is D

Rs. 80


Let C.P. of each clock be Rs. x.

Then, C.P. of 90 clocks = Rs. 90x.

[(110 % of 40x) + (120% of 50x)] - (115% of 90x) = 40

44x + 60x - 103.5x = 40 0.5x = 40 x = 80.

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