Find a single discount equivalent to two successive discount of 20% and 5%

Given:

Two successive discount of 20% and 5%.

To do:

We have to find the single discount equivalent to two successive discounts of 20% and 5%.

Solution:

Let the marked price be Rs. 100.

First discount $= 20 \%$

$20 \%$of 100 $= \frac{20}{100}\times100=20$

Price $=100 - 20 = 80$

Second discount $= 5 \%$

$5 \%$ of 80 $= \frac{5}{100}\times80$

$=4$

Final price $= 80-4$

$= 76$

Let the single equivalent discount be $x$.

Single equivalent Discount $= MP - SP$

$= 100 -76$

$= 24$

The single discount equivalent to two successive discounts of 20% and 5% is 24%.