Question

If a number is reduced by 12, it becomes 60% of the original number. Find the number.

• A. 48
• B. 30
• C. 20
• D. 45

Answer 1

The correct option is B 30

Let's suppose the number is $x$.
If we decrease this number by 12 we get, $x-12$

Now,
It is given that if number is reduced by 12, it becomes 60% of itself.
$\Rightarrow x\times 60\%=x-12\Rightarrow x\times \frac{60}{100}=x-12\Rightarrow x\times \frac{3}{5}=x-12\Rightarrow 3x=5\times (x-12)\Rightarrow 3x=5x-60\Rightarrow 5x-3x=60\Rightarrow 2x=60\Rightarrow x=30$

Hence, option b is correct.