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A man buys a chair and table for Rs. 6000. He sells the chair at a loss of 10% and the table at gain of 10%. He still gains Rs. 100 on the whole. Cost price of chair is:

a) Rs. 2500
b) Rs. 2850
c) Rs. 3050
d) Rs. 3500

Answer: a
Explanation: If the C.P of the chair be Rs. x,
Total S.P = $$\frac{{{\text{x}} \times 90}}{{100}}$$  + $$\left( {\left( {6000 – {\text{x}}} \right) \times \frac{{110}}{{100}}} \right)$$
9x + 66000 – 11x = 61000
2x = 66000 – 61000 = 5000
x = Rs. 2500

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