Question

A person bought two chairs for a price of Rupees 690. He sells one at 10% loss and other at 17% profit. Both the chairs are sold in same price. Then what is the cost price of the chair which is sold in loss?

Answer 1

the cost price of the chair which is sold in loss is rupees 69 solution 10% of 690 is equal to 10 upon 100 into 690 00 cancel is equal to 69

Answer 2

Let price of Chair which is sold at loss = X
.........................................................at profit =690-X

$\huge{\bold{\orange{Chair-1}}}$

after loss

Price = X-X×10/100

= X×90/100

= 9X/10

$\huge{\bold{\red{Chair-2}}}$

Price after Profit

Price= (690-X) ×117/100

$\huge{\bold{\pink{ATQ}}}$

9X/10 = (690-X)×117/100

X= (690-X)×13/10

10X= 8970-13X

23X=8970

X=8970/23

X= 390

So Price of Chair which is sold in loss is 390.

$\huge\boxed{\bold{\red {ANSWER}}}$

$\huge{\bold{\orange{CP\:of \:Chair-1 =390}}}$


____________________
$\huge{\bold{\green{Verification}}}$

Chair 1

390 ×10/100 = 39 (loss)

=390-39

$\huge{\bold{\red{SP\:of\: Chair-1=351}}}$

Chair 2

300 ×17/100=51. (profit)

=300+51

=351

$\huge{\bold{\blue{SP\:of\:Chair-2=351}}}$