Question 13
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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 ₹ 40 less. The cost price of each clock is:
- A ₹ 50
- B ₹ 60
- C ₹ 80 Correct
- D ₹ 90
Correct Answer: Option C
Let C.P. of clock be ₹ x.
Then, C.P. of 90 clocks = ₹ 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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