Question

A laptop was sold at a profit of $15\%$. If it was sold at a price that was $10\%$ lower, the profit would have been $Rs.1,050$. What is the cost price of the laptop?

• A. $Rs.21,000$
• B. $Rs.35,000$
• C. $Rs.30,000$
• D. $Rs.42,000$

Answer 1

The correct option is C $Rs.30,000$

Let cost price of laptop be $Rs.x$

$\therefore$ Profit $=\frac{15x}{100}Rs$

$\therefore$ selling price $=Rs(\frac{15x}{100}+x)=Rs.\frac{115x}{100}$

New selling price $=Rs.(\frac{115x}{100}-\frac{115x}{100}\times \frac{10}{100})$

$=Rs.\frac{115x}{100}\left(\frac{90}{100}\right)$

$=Rs.\frac{1035x}{1000}$

$\therefore$ Profit $=(\frac{1035x}{1000}-x)=Rs.\frac{35x}{1000}$

Now, $\frac{35x}{1000}=1050$

$\therefore x=30,000$

$\therefore$ Cost price of Laptop $=Rs.30,000$