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Vinod sold a watch to Arjun at a gain of 12% and Arjun had to sell it to Manoj at a loss of 5%. If Manoj paid Rs. 3990 for it. How much did Vinod pay for the watch?

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1390

4200

2450

3750

answer is D.

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Detailed Solution

Concept- First we will find the cost price using the selling price and loss and then use that price as the selling price at which Arun sells and find the cost price.
Arun sell watch to Manoj in 5% loss at Rs.3990
CP =

\frac{100}{100 - loss} \times

SP
=

\frac{100}{100 - 5} \times

3990
=4200Rs.
Cost Price of Aruns watch is Rs.4200
Vinod sold watch to Arun 12% gain
CP=

\frac{100}{100 + gain} \times

SP
=

\frac{100}{100 + 12} \times

4200
=

\frac{100}{112} \times

4200
=3750 Rs.
Hence, the correct option is 4.

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