Question

Find a single discount percentage equivalent to successive
discounts of 20%, 10% and 5%​

Answer 1

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So successive discounts of 20% and 5% is equivalent to a 24% discount.

Answer 2

Answer:

24%

Step-by-step explanation:

20% of 100 is 20; 100 — 20 = 80

5% of 80 is 0.05 x 80 = 4

80 — 4 = 76

100 — 76 = 24

So successive discounts of 20% and 5% is equivalent to a 24% discount. But this is only one specific example. Does this work for any amount?

Replace 100 with the variable P.

20% of P is 0.20P; the discounted amount is P — 0.20P = 0.80P

5% of 0.80P is 0.05(0.80P) =0.04P

Our final discounted amount is 0.80P — 0.04P = 0.76P.

P — 0.76P = 0.24P, so now we know that for any original value, successive discounts of 20% and 5% is equivalent to a 24% discount.