Question

Find a single discount equivalent to successive discounts of $10\%$ and $20\%$.

• A. $18.18\%$
• B. $22.22\%$
• C. $19\%$
• D. $28\%$

Answer 1

The correct option is D $\left(28\%\right)$

Let MP be $=Rs.100$
Given two successive discounts $d_1$$=10\%$ and $d_2$ $=20\%$

$\text{S.P = M.P}\times \frac{100-d_1}{100}\times \frac{100-d_2}{100}$

$=100\times \frac{100-10}{100}\times \frac{100-20}{100}$
$=100\times \frac{90}{100}\times \frac{80}{100}$
$=9\times 8$
$=Rs.72$

$\therefore$ Single equivalent discount $=100-72=28\%$