Question

Find the single equivalent discount to three successive discount of $10\%,20\%$ and $30\%$.

• A. $50\%$
• B. $49.6\%$
• C. $23.5\%$
• D. $10\%$

Answer 1

Answer: (B)

$49.6\%$

First total discount of $10\%$ and $20\%$ $=$ $10+20-\frac{200}{100}=28\%$
Secondly total discount of $28\%$ and $30\%=$ $28+30-\frac{840}{100}=49.6\%$
Therefore, the single equivalent discount to three successive discount of $10\%,20\%$ and $30\%=49.6\%$.