Question

The equivalent discount to consecutive discounts of 15 and 20 will be

Answer 1

Single equivalent discount for successive discounts of 10% and 20%.

= \left ( 10+20-\frac{20\times 10}{100} \right )\% = 28\%

Single equivalent discount for 28% and 30%.

= \left ( 28+30-\frac{28\times 30}{100} \right )\% = 49.6\%

Answer 2

The equivalent discount to consecutive discounts of 15 and 20 will be 32 %

Solution:

Given that,

We have to find the equivalent discount to consecutive discounts of 15 and 20

If a % and b % are two consecutive discounts then,

$Net\ discount = [a + b- \frac{ab}{100} ] \%\\\\Net\ discount = [15 + 20 - \frac{15 \times 20}{100} ] \% \\\\Net\ discount = [ 35 - 3 ] \%\\\\Net\ discount = 32 \%$

Thus the equivalent discount to consecutive discounts of 15 and 20 will be 32 %

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