Question

a shopkeeper purchased a TV at ₹15,000 and gives a discount of 20% on its marked prize and still got a profit of 8% . find the marked prize of the TV . ​

Answer 1

$\huge\sf\underline{Answer}$

$\sf\longrightarrow selling \: prize \: = \frac{100 + profit\%}{100} \times cp$

$\sf\longrightarrow \frac{108}{100} \times 15000 = 16200$

Let the marked prize of the TV be x .

$\sf\longrightarrow discount = 20\% \: of \: x \: = \frac{20}{100}x = \frac{x}{5}$

We have SP = MP - Discount

$\sf\longrightarrow 16200 \: = \: x - \frac{x}{5}$

$\sf\longrightarrow 16200 \: = \frac{4x}{5}$

$\sf\longrightarrow x \: = \: 20250$

Hence , The marked prize of the TV is ₹20,250 .

Hope it helps ~