Question

Find the single discount equivalent to two successive discount of 50%, 12%.

Answer 1

Answer:

Let the CP be x

Formula for successive discounts:-

$SP=(1 - \frac{d1}{100} )(1 - \frac{d2}{100} ) \times CP$

$SP = (1 - \frac{50}{100} )(1 - \frac{12}{100} ) \times x$

$= \frac{50}{100} \times \frac{88}{100} \times x$

$= \frac{1}{2} \times \frac{22}{25} \times x$

$= \frac{11x}{25}$

Hence,

Discount =CP-SP

$= x - \frac{11x}{25}$

$= \frac{(25x - 11x)}{25}$

$= \frac{14x}{25}$

Since,

$D= \frac{d}{cp} \times 100$

$= \frac{14x}{25} \div x \times 100$

$= \frac{14x}{25} \times \frac{1}{x} \times 100$

$= \frac{14}{25} \times 100$

D=56%

Single successive discount for 50% and 12%=56%