Q37. A man buys one table and chair for Rs 500. He sells the table at a loss of 10 $%$ and the chair at a gain of 10 $%$ He still gains R 10 on the whole. The cost Price of the chair is:

(a) Rs 250

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(b) Rs 300

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(d) Rs 200

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Solution

The correct option is B
(b) Rs 300

$C o s t o f T a b l e c h a i r = R s 500 L e t c o s t o f c h a r i = x L e t c o s t o f t a b l e = 500 - x S P o f C h a i r a t 10 % p r o f i t = x + \frac{x}{10} = \frac{11}{10} x S P o f T a b l e a t l o s s o f 10 % = 450 - \frac{9}{10} x T o t a l S P o f T a b l e a n d C h a i r = 500 + 10 (P r o f i t) = 510 \frac{11}{10} x + 450 - \frac{9}{10} x = 510 \frac{2}{10} x = 60 X = 300 i . e . C P o f c h a i r = R s 300$

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Q37. A man buys one table and chair for Rs 500. He sells the table at a loss of 10% and the chair at a gain of 10% He still gains R 10 on the whole. The cost Price of the chair is:

The correct option is B (b) Rs 300 Cost of Table chair =Rs 500Let cost of chari=xLet cost of table=500−xSP of Chair at 10% profit=x+x10=1110xSP of Table at loss of 10%=450−910xTotal SP of Table and Chair=500+10(Profit)=5101110x+450−910x=510210x=60X=300 i.e. CP of chair=Rs 300

Q37. A man buys one table and chair for Rs 500. He sells the table at a loss of 10 $%$ and the chair at a gain of 10 $%$ He still gains R 10 on the whole. The cost Price of the chair is: