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When a number is successively decreased by 10 percent, 15 percent and 56 percent, then it becomes 20196. What is that number?
Question

When a number is successively decreased by 10 percent, 15 percent and 56 percent, then it becomes 20196. What is that number?

A.

80000

B.

50000

C.

40000

D.

60000

Correct option is D

Given:
Final value after successive decreases = 20196
Percentage decreases = 10%, 15%, and 56%
Solution:
Let the original number be N.
Successive decreases: N ×(1 - 10/100) ×(1 - 15/100) ×(1 - 56/100) = 20196
N ×0.9 ×0.85 ×0.44 = 20196
N ×0.3366 = 20196
N = 20196 / 0.3366 = 60000
Thus, the original number is 60000.

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