Question

After giving two successive discounts, a shirt with a marked price Rs. 200 is available at Rs.100. If the second discount is $20\%$ then the first discount is

Answer 1

Given that, marked price of the shirt is $Rs.200$

Also, after two successive discounts, the shirt is available at $Rs.100$

And the second discount is $20\%$

Let the first discount be $x\%$

First discount $\to x\%\Rightarrow \frac{x}{100}\times 200$

Second discount $\to 20\%$ of $(200-\frac{x}{100}\times 200)$

$\frac{20}{100}\times [200-2x]+\frac{x}{100}\times 200=100$ [Price after both discounts is $100$]

$\Rightarrow 40-\frac{2}{5}x+2x=100$

$\Rightarrow 1.6x=60$

$\therefore x=37.5$

Hence, the first discount is $37.5\%$