**Question:**

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs 170?

**Solution:**

Given,

CP of the article $=R s .170$

Profit $=20 \%$

We know that,

$\mathrm{SP}=\left[\frac{(100+\text { Gain } \%)}{100} \times \mathrm{CP}\right]$

$=\left[\frac{120}{100} \times 170\right]$

$=\frac{20400}{100}$

$=$ Rs. 204

Let the MP of the article be Rs. $x$.

Discount $=15 \%$

There fore, Discount $=15 \%$ of $x$

$=0.15 x$

So, SP $=$ MP $-$ Discount

MP $=$ SP + Discount

$x=204+0.15 x$

$x-0.15 x=204$

$0.85 x=204$

$x=$ Rs. 240

Thus, the marked $p$ rice of the article is Rs. 240 .