If a given number is increased by 8% of itself, then it gives the value is 135. Then the actual value of the given number is?

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112

100

125

None of these

answer is C.

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Detailed Solution

Given that we had a number and when it is increased by 8% of itself, we get the value of 135. We need to find the value of the actual number.
Let us assume the number is ‘x’ and when this is increased by 8% of itself, we get the value of 135.
So, (100% + 8%) of the value of x = 135.
Then 108% of the value of x = 135…………..(1).
We know that a% of y is defined as

. We use this result in equation (1).
Question Image

We have found the value of ‘x’ before increasing to 125.
∴ The actual value of the given number is 125.

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