Question

Varun sold two almirah for Rs 2730 each . On one he lost 9 % while on other he made a profit of 4 % . Find his overall gain or loss .

Answer 1

Given,

• Sold Price (SP) = Rs 2730

Here, we can assume the Cost Price (CP) as x.

First we can find how much he lost on 9%.

$\sf{\implies x - \dfrac{9x}{100}=2730}$

$\sf{\implies \dfrac{100x-9x}{100}=2730}$

$\sf{\implies \dfrac{91x}{100}=2730}$

$\sf{\implies 91x=273000}$

$\sf{\implies x=\dfrac{273000}{91}}$

$\sf{\implies x=3000 \ [Which \ is \ the \ cost \ price.]}$

Next we can find how much he gained on 4%.

$\sf{\implies x+\dfrac{4x}{100} =2730}$

$\sf{\implies \dfrac{100x+4x}{100} =2730}$

$\sf{\implies \dfrac{104x}{100} =2730}$

$\sf{\implies 104x =273000}$

$\sf{\implies x =\dfrac{273000}{104}}$

$\sf{\implies x =2625 \ [Which \ is \ the \ cost \ price.]}$

$\sf{\therefore Total \ Cost \ Price = 3000+2625}$

$\sf{\implies Total \ Cost \ Price = Rs \ 5625}$

$\sf{\therefore Total \ Selling \ Price = 2730\times 2}$

$\sf{\implies Total \ Selling \ Price = Rs \ 5460}$

Here Cost Price > Selling Price.

$\sf{\implies Loss=5625-5460}$

$\sf{\implies Loss=Rs \ 165}$

So here we have to also find the Loss %.

$\boxed{\bold{\sf{Loss \ \% = \dfrac{Loss}{CP} \times 100}}}$

Applying values to the equation:

$\sf{\implies Loss \ \% = \dfrac{165}{5625} \times 100}$

$\sf{\implies Loss \ \% = \dfrac{16500}{5625}}$

$\sf{\implies Loss \ \% = 2.93 \ \% }$

$\huge{\boxed{\bold{\sf{\therefore Overall \ Loss = Rs \ 165}}}}$

$\huge{\boxed{\bold{\sf{\therefore Loss \ \% = 2.93 \ \% }}}}$

Answer 2

Answer:

Answer is 165 rupees

Step-by-step explanation:

Answer is 165 rupees