(C) Let the number be $n$.According to the problem,$n \times \frac{3}{5}n = 12^{2} - 3^{2}$.This simplifies to $\frac{3}{5}n^{2} = (12 + 3)(12 - 3)$.$

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(C) Let the number be $n$.According to the problem,$n \times \frac{3}{5}n = 12^{2} - 3^{2}$.This simplifies to $\frac{3}{5}n^{2} = (12 + 3)(12 - 3)$.$\frac{3}{5}n^{2} = 15 \times 9$.$n^{2} = \frac{15 \times 9 \times 5}{3} = 5 \times 9 \times 5 = 225$.Taking the square root,$n = 15$.We need to find $\frac{5}{3}$ of that number,which is $\frac{5}{3} \times 15 = 5 \times 5 = 25$.

Competitive Quantitative Aptitude Number system Numbers

Medium

If a number is multiplied by $\frac{3}{5}$ of itself,the value so obtained is $3^{2}$ less than $12^{2}$. What is $\frac{5}{3}$ of that number?

A
$375$
B
$75$
C
$25$
D
$225$

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If a number is multiplied by $\frac{3}{5}$ of itself,the value so obtained is $3^{2}$ less than $12^{2}$. What is $\frac{5}{3}$ of that number?

Similar Questions

$A$ two-digit number is such that the product of its digits is $8$. When $18$ is added to the number,the digits are reversed. The number is:

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