Question

9 Three successive discounts of 20%, 20% and 10% were given. What is the equivalent actual discount? ​

Answer 1

Answer:

42.4%

Step-by-step explanation:

Let the first amount be 100

$20\% \: of \: 100 = \frac{20}{100} \times 100 \\ \:\:\:\:\:\:= 20$

$100 - 2 0= 80$

$20\% \: of \: 80 = \frac{20}{100} \times 80 \\ \:\:\:\:\:\: = 16$

$80 - 16 = 64$

$10\% \: of \: 64 = \frac{10}{100} \times 64 \\ \:\:\: \:\:\:= 6.4$

$64 - 6.4 = 57.6$

$actual \: discount = 100 - 57.6 = 42.4$

Therefore, the actual discount is 42.4%