Question

Find a single discount equivalent to three succesive discounts of 20%, 5% and 1%
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Answer 1

laguan after a discount of 10% cost will come down to 95 - 9.5 = 85.5 again after 3rd discount 20% cost will come down to 85.5 -20% aur 85.5= 85.5-17.1=68.4 it is an equivalent to single discount of 31

Answer 2

Answer:

34.76%

Step-by-step explanation:

Let the discount be a

And the initial price be x

$1 {}^{st} \: \: discount \\ 20 \: percent \\ \\ y = x - \frac{20}{100} \times x \\ \\ y = 0.8x \\ \\ {2}^{nd} \: \: discount \: \: 5 \: percent \\ \\ z = y - \frac{5}{100} \times y \\ \\ z = 0.95 \times y \\ \\ z = 0.76x \\ \\ {3}^{rd} \: \: discount \: 1 \: \: percent \\ \\ v = z - \frac{1}{100} \times z \\ \\ z = 0.99y \\ \\ z = 0.6524x \\ \\ total \: discount \: a \: is \\ \\ a = \frac{x - 0.6524x}{x} \times 100 \\ \\ a = 34.76 \: \: percent$

HOPE IT HELPS