Question

After getting two successive discounts, a shirt with a list price of $150$ is available at $105$. If the second discount is $12.5\%$, find the first discount.

• A. $10\%$
• B. $15\%$
• C. $20\%$
• D. $25\%$

Answer 1

The correct option is C $20\%$

Let the first discount be x%.
Then, $87.5\%of(100-x)\%of150=105$
$\frac{87.5}{100}\times \frac{100-x}{100}\times 150=105$
or $(100-x)=\frac{105\times 100\times 100}{150\times 87.5}=80$
$x=100-80=20$
$\therefore$ First discount $=20\%$