One fifth of 40% of a number is equal to two third of 30% of another number. What is the respective ratio of the first number to the second number?

Correct option is C

Given:

One fifth of 40% of a number is equal to two third of 30% of another number.

Solution:

Let the first number be x and the second number be y

One fifth of 40% of x = Two third of 30% of y

​$$\frac{1}{5} \times \frac{2}{5} \times x = \frac{2}{3} \times \frac{3}{10} \times y$$​​

​$$\frac{2}{25} \times x = \frac{6}{30} \times y$$​​

​$$\frac{2}{25} \times x = \frac{1}{5} \times y$$​​

2x = 5y

​$$\frac{x}{y} = \frac{5}{2}$$​​

Thus, the ratio of the first number to the second number is 5 : 2