The C P of two watches taken together is Rs 840...

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The C.P. of two watches taken together is Rs. 840. If by selling one at a profit of 16% and the other at a loss of 12% , there is no loss or gain in the whole transaction, then the C.P. of the two watches are respectively.

A. Rs. 360, Rs. 480

B. Rs. 480, Rs. 360

C. Rs. 380, Rs. 460

D. Rs. 400, Rs. 440

Answer: Option A

Solution(By Examveda Team)

C.P. = Cost Price.
Let the C.P. of the watches be Rs. x and Rs. (840 - x)
∴ (116% of x) + [88% of (840 - x)] = 840
⇒ 116x + 73920 - 88x = 84000
⇒ 28x = 10080
⇒ x = 360
∴ Their cost prices are Rs. 360 and Rs. 480

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