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Find a single discount equivalent to a series of discounts 10%, 20% and 30%
Question

Find a single discount equivalent to a series of discounts 10%, 20% and 30%

A.

50.2%

B.

50.4%

C.

49.6%

D.

51.0%

Correct option is C

Solution

Let the marked price be 100.

After 10% discount:
Price = 90

After 20% discount:
Price = 90 × 80 / 100 = 72

After 30% discount:
Price = 72 × 70 / 100 = 50.4

Final price = 50.4

Equivalent single discount
= 100 − 50.4
= 49.6%

Correct Answer:

(a) 49.6%

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