Question 10

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?

Solution

Let the number be N.

If the number increases by 25%, it becomes 1.25N, and if it decreases by 30%, then it becomes 0.7N. The difference between them is given as 22,

1.25 N - 0.7 N = 22

=> N = 22/0.55 = 40

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