Question

At what prices should a shopkeeper mark a radio that costs him Rs 1200 in order that he may offer a discount of 20% on the marked price and still make a profit of 25%

• A. RS 1675
• B.
  • RS 1875
    
• C. RS 1900
• D. RS 2025
• E. None of these

Answer 1

The correct option is B

• RS 1875
  

Given: Cost price $=$ Rs. $1200$

Profit $\%=25$

$\therefore$ Selling price $=125\%$ of $1200$

$=\frac{125}{100}\times 1200$

$=$ Rs. $1500$

Let the marked price be $x$

and discount is of $20\%$ [Given]

$\Rightarrow 80\%$ of $x=1500$

$\Rightarrow \frac{80}{100}\times x=1500$

$\Rightarrow x=\frac{1500\times 100}{80}$

$\Rightarrow x=1875$

Hence the marked price should be $Rs.1875$