A sold a tape recorder to B for Rs 4860 at a loss of 19%. B sold it to C at a price that would have given A a profit of 17%. What is the gain per cent of B?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(44\frac{4}{9}\)%
Profit and loss per cent are taken on the cost price of the person who sells. First find what A paid, then the price B charged C, and work out B's gain on the Rs 4860 that B paid.
A sold at a loss of 19%, so 81% of A's cost price \(=4860\)
A's cost price \(\displaystyle =\frac{4860\times100}{81}=\) Rs 6000
Price at which B sold to C \(=6000\times1.17=\) Rs 7020
Gain of B \(=7020-4860=\) Rs 2160
Gain per cent of B \(\displaystyle =\frac{2160}{4860}\times100=\frac{400}{9}=44\frac{4}{9}\)%
B gains \(44\frac{4}{9}\)%.