Question

Tarun got $30$ concession on the labelled price of an article and sold it for $Rs.8750$ with $25$ profit on the price he bought. What was the labelled price ?

• A. $Rs.10,000$
• B. $Rs.12,000$
• C. $Rs.16,000$
• D. Data inadequate
• E. None of these

Answer 1

Answer: (A)

$Rs.10,000$

Let the labelled price be $x$ Rs

$\therefore$ Price at which $=x-\frac{30}{10}\times x$

he bought $=\left(\frac{7x}{10}\right)$ Rs

Also profit is $25\%$

$\therefore 125\%$ of $\frac{7x}{10}=8750$ Rs

$\therefore \frac{5}{4}\times \frac{7x}{10}=8750$ Rs

$\therefore x=\frac{8750\times 4\times 10}{5\times 7}$

$\therefore x=10000$ Rs

$\therefore$ Labelled price is $10000$ Rs