Question

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

Answer 1

​Let the marked price of the article be Rs 100.
First discount = 20%
Price after the first discount = (100 − 20) = Rs 80
Second discount = 5% of 80
$$\begin{gathered} =\frac{5}{100}\times 80 \\ =\mathrm{Rs}4 \end{gathered}$$
Price after the second discount = (80 − 4) = Rs 76
Net selling price = Rs 76
∴ Single discount equivalent to the given successive discounts = (100 − 76)% = 24%