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Two successive price decreases of 20% and 30% of an article are equivalent to a single price decrease of:
Question

Two successive price decreases of 20% and 30% of an article are equivalent to a single price decrease of:

A.

44%

B.

50%

C.

25%

D.

40%

Correct option is A

Given:
Two successive price decreases: 20% and 30%.
Formula Used:
Equivalent single decrease % = 1 − (1 − a)(1 − b), where a and b are the decrease rates in decimal.
Solution:
(1 − 0.20)(1 − 0.30) = 0.80 × 0.70 = 0.56
Net decrease = 1 − 0.56 = 0.44 = 44%

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