Question

Two successive discount of $50\%$ and $50\%$ is equal to a single discount of:

• A. 25%
• B. 100%
• C. 75%
• D. 50%

Answer 1

The correct option is A.$75\%$

Consider the MP of an article $=100$ units

Now, price of the article after first $50\%$ discount $=100-50\%$ of $100$

$=100-\frac{50}{100}\times 100$

$=100-50$

$=50$ units

Now, price of the article after second discount $=50-50\%$ of $50$

$=50-\frac{50}{100}\times 50$

$=50-25$

$=25$ units

Therefore total discount given $=50+25=75$

Hence, final (cumulative) discount on the article =$\frac{75}{100}\times 100\%=75\%$