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:_________?

MCQs Preparation, Maths MCQs, Mocks /

A. Rs.50
B. Rs.60
C. Rs.80
D. Rs.90

C. Rs.80

Let the C.P of each clock be Rs. x.
Then C.P of 90 clocks =Rs. 90x.

By using the given information,
(110/100)*40x + (120/100)*50x – (115/100)*90x = 40
44x+60x−103.5x=40
0.5x=40
x=80

So, the C.P of each clock is equal to Rs. 80.

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