Question

On selling a chair for rs 264 a man loses 4%. In order to gain 12% on what price should he sell the chair? ​

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

The Selling Price should be Rs.308 to get 12% Gain.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Selling the chair for = Rs.264

Loss of = 4%

To find :

Selling Price of the chair to get 12% gain.

Solution :

★ First we need to find the Cost Price when it's a loss of 4%

$\star$ As we know :

${\boxed{\sf\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\sf{\implies} CP = \dfrac{100}{100 - 4\%} \times 264$

$\sf{\implies} CP = \dfrac{100}{96} \times 264$

$\sf{\implies} CP = \dfrac{26400}{96}$

$\sf{\implies}CP = 275$

Cost Price is Rs.275 when loss is 4%

★ Selling Price when Gain is 12%

$\star$ As we know :

${\boxed{\sf\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

$\sf{\implies} SP = \dfrac{112}{100} \times 275$

$\sf{\implies} SP = \dfrac{30800}{100}$

$\sf{\implies} SP = 308$

$\boxed{\sf{\red{SP \: = Rs.308}}}$

$\therefore$ The Selling Price should be Rs.308 to get 12% Gain.