Find the single discount which is equivalent to two successive discoun

1.	Find the single discount which is equivalent to two successive discounts of 20% and 5%.
Answer» First Discount = 20% Second Discount = 5% The formula for total discount in case of successive discounts: If the first discount is x% and 2nd discount is y% then, Total Discount = \([(x\,+\,y)-\frac{xy}{100}]\%\) \([(20\,+\,5)-\frac{20\,\times\,5}{100}]\%\) \((25-\frac{100}{100})\%\) = 24%

Find the single discount which is equivalent to two successive discounts of 20% and 5%.

Answer»

First Discount = 20%

Second Discount = 5%

The formula for total discount in case of successive discounts:

If the first discount is x% and 2nd discount is y% then,

Total Discount =

\([(x\,+\,y)-\frac{xy}{100}]\%\)

\([(20\,+\,5)-\frac{20\,\times\,5}{100}]\%\)

\((25-\frac{100}{100})\%\)

= 24%