Question

A discount series of 15%, 20% and 30% is equal to a single discount of:

Answer 1

15 % of 100 = 15
20 % of 85 = 17
30 % of 68 = 20.4

total = 52.4

Answer 2

Answer:

52.4%

Step-by-step explanation:

Let us suppose the price = Rs 100.

First discount is 15%. Hence, the price after this discount is

$100-100\cdot0.15\\=100-15\\=Rs85$

Second discount is 20%. Hence, the price after this discount is

$85-85\cdot0.20\\=85-17\\=Rs68$

Finally, third discount is 30%. Hence, the price after this discount is

$68-68\cdot0.30\\=68-20.4\\=Rs47.6$

Therefore, single discount is

100 - 47.6

= Rs 52.4

=52.4%