Question

One-fourth of $60\%$ of a number is equal to two-fifth of $20\%$ of another number. What is the respective ratio of the first number to the second number?

• A. $4:7$
• B. $8:13$
• C. $5:9$
• D. $8:15$

Answer 1

The correct option is D $8:15$

Let the number is $x$ and $y$
Given, one-fourth of $60\%$ of a number is equal to two-fifth of $20\%$ of another number.
Then $\frac{x}{4}\times \frac{60}{100}=\frac{2y}{5}\times \frac{20}{100}$

$\therefore \frac{60x}{400}=\frac{40y}{500}$

$\therefore \frac{x}{y}=\frac{8}{15}$