Question

find the single discount equivalent to successive discounts of 30% and 50%

Answer 1

Solution: Let's suppose the original selling price = 100

The first discount = 30% of 100 = 0.3 x 100 = 30

The selling price after first discount = 100 - 30 =70

The second discount = 50% of 70 = 0.5 x 70 = 35

Hence the selling price after second discount is = 75 - 35 = 35

Now the equivalent discount to successive discounts of 30% and 50% is:

$\frac{65}{100} \times 100 = 65\%$