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Question

If a number increased by $$8\%$$ of itself gives $$135,$$ then that number is


A
112
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B
100
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C
125
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D
None of these
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Solution

The correct option is C $$125$$
Given, a number increased by $$8\%$$ of itself gives $$135$$.
Thus, $$x + 8$$$$\%$$ of $$x =$$ $$135$$
$$\Rightarrow \displaystyle \frac{108x}{100}\, =\, 135$$
$$\Rightarrow x= 135\, \times\, \displaystyle \frac{100}{108}\, =\, 125$$ 
Thus the number is $$125$$.

Mathematics

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