Question

If 30% of a number is 24 less than 50% of the number, find the number.

• A. 120
• B. 60
• C. 36
• D. 24

Answer 1

The correct option is A 120

Let the number be x.

30% of the number is 24 less than 50% of the number.

Hence,

$\frac{30}{100}\times x=\frac{50}{100}\times x–24$

$\Rightarrow 0.3x=0.5x–24$

$\Rightarrow 0.2x=24$

$\Rightarrow x=\frac{24}{0.2}=\frac{24}{\frac{1}{5}}=24\times 5=120$

Therefore, the number is 120.