Question

Find the single discount equivalent to two successive discounts $50\%$ and $49\%$.

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Let the marked price of an article be Rs. X and a single discount of $d\%$ be equivalent to two given successive discounts of $50\%$ and $49\%$.

Then,

$(1-\frac{d}{100})ofRs.x=(1-\frac{50}{100})(1-\frac{49}{100})ofRs.x$ [Both S.P must be equal]

$\Rightarrow 200-2d=51$

$\Rightarrow 2d=149$

$\Rightarrow d=74.5\%$

Hence, a single discount of $74.5\%$ is equivalent to two given successive discounts.