Question

When $60\%$ of a number is subtracted from another number, the second number reduces to its $52\%$, then ratio of the first number to the second number is

• A. $6:5$
• B. $5:3$
• C. $5:4$
• D. $4:5$

Answer 1

Answer: (D)

$4:5$

Let us consider the problem:

Let be $a$ and $b$ is first and second number respectively.

$b-\frac{60}{100}a=\frac{52}{100}b$

Implies that

$b-\frac{52}{100}b=\frac{60}{100}a$

Implis that

$\frac{48}{100}b=\frac{60}{100}a$

Implies that

$4b=5a$

Implies that

$\frac{a}{b}=\frac{4}{5}$

Hence

$a:b=4:5$