Question

On selling an article for₹ 144 man losses 10% . At what price should he sell it to gain 10%?​

Answer 1

${\tt{\red{\underline{\underline{\huge{QuEsTiOn:}}}}}}$

On selling an article for₹ 144 man losses 10% . At what price should he sell it to gain 10%?

${\tt{\red{\underline{\underline{\huge{AnSwEr:}}}}}}$

First case

Sp=Rs.Rs.144

l%=10%

Cp=?

We know,

$cp = \frac{100 \times sp}{100 - l}$

$\: \: \: \: \: \: \: = \frac{100 \times 144}{100 - 10}$

$\: \: \: \: \: \: \: = \frac{14400}{90}$

$\: \: \: \: \: \: \: = 160$

Now,

Cp=Rs.160

G%=10%

$sp = \frac{cp(100 + g)}{100}$

$\: \: \: \: \: \: \: = \frac{160(100 + 10)}{100}$

$\: \: \: \: \: \: \: = \frac{160 \times 110}{100}$

$\: \: \: \: \: \: \: = \frac{17600}{100}$

$\: \: \: \: \: \: \: = 176$

Hence,SP is Rs.176..

$\huge\boxed{\fcolorbox{red}{red}{ThAnK \: yOu}}$