Mark ( ) against the correct answer in the following: A number in… - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer in the following: A number increased by $20\%$ gives $30$. The number is:

A
$150$
B
$6$
✓
$25$
D
$60$

✓

Answer

Correct option: C.

$25$

Let the number be $x$. Then, we have:
$120\%$ of $x$ = increased number
$\Rightarrow30=\Big(\text{x}\times\frac{120}{100}\Big)$
$\Rightarrow30=\Big(\frac{6\text{x}}{5}\Big)$
$\Rightarrow\text{x}=\Big(30\times\frac{5}{6}\Big)=25$
Hence, the required number is $25$

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