A dealer gets $R s . 30$ less if instead of selling a chair at a gain of $12 %$ he sells it at a gain of $8 % .$ Find the cost price of the chair.

Open in App

Solution

Let the CP be $R s x .$
It is given that there is a difference in S.P by $R s . 30,$ if the chair is sold at $8 %$ gain instead of selling at $12 %$ gain.
S.P when sold at $8 % = x + 8 %$ of $x = x + \frac{8}{100} x = \frac{108 x}{100}$
S.P when sold at $12 % = x + 12 %$ of $x = x + \frac{12}{100} x = \frac{112 x}{100}$
Then, we have:
$\frac{112 x}{100} - \frac{108 x}{100} = 30$
$\Rightarrow \frac{112 x - 108 x}{100} = 30$
$\Rightarrow \frac{4 x}{100} = 30$
$\Rightarrow x = \frac{30 \times 100}{4} = 750$
$∴$ The cost price of the chair is $R s . 750.$

Suggest Corrections

Similar questions

$A dealer gets Rs. 56 less if instead of selling a chair at again of 15 %, it is sold at a gain of 8 % . Find the cost price of the chair.$

Q. By selling a chair for

R s . 572

, a man gains 30%. The cost price of the chair is:

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:

Q. By selling a chair for Rs 1375 a man gains 10%. Find its cost price.

Question 98

On selling a chair of Rs. 736, a shopkeeper suffers a loss of 8%. At what price should he sell it, so as to gain 8%?

Join BYJU'S Learning Program

A dealer gets Rs. 30 less if instead of selling a chair at a gain of 12% he sells it at a gain of 8%. Find the cost price of the chair.

A dealer gets $R s . 30$ less if instead of selling a chair at a gain of $12 %$ he sells it at a gain of $8 % .$ Find the cost price of the chair.