Question : A sells a television to B for INR 4,860, thereby losing 19%. B sells it to C at a price which would have given A a 17% profit. Find the gain of B.
Option 1: INR 4,160
Option 2: INR 2,160
Option 3: INR 3,160
Option 4: INR 1,160
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Correct Answer: INR 2,160
Solution :
Let the cost price of A be INR $x$.
The selling price of A = cost price of B
= INR 4860
Loss of A = 19% of $x$
Selling price of A = cost price of A
– Loss of A
⇒ 4860 = $x$ – 19% of $x$
⇒ 81% of $x$ = 4860
⇒ $x$ = INR 6000
Profit = 17% of $x$ = 17% of 6000 = INR 1020
Selling price of B = 6000 + 1020 = INR 7020
Gain of B = 7020 – 4860 = INR 2160
Hence, the correct answer is INR 2,160.
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