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[Clerk IT Dec, 2021]

2. The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?

  1. 20

  2. 30

  3. 40

  4. 50

Correct Answer :

40

Solution

Let's assume the original number as 'x'.

The value of the number increased by 25% = 1.25x The value of the original number decreased by 30% = 0.7x

According to the given question,

1.25x - 0.7x = 22

0.55x = 22

x = 40

Therefore, the original number is 40.

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