40% of the first number is 12 and 50% of the second number is 24. The ratio of the first number to the second number is:

Correct option is D

Given:

40% of the first number = 12

50% of the second number = 24

Formula Used :

Percentage = $$\frac{\text{Value}}{\text{Total Value}} \times 100$$​​

Solution:

Let the first number be 'a' and the second number be 'b'.

Find the first number ('a'):

40% of a = 12

​$$\frac{40}{100}\times$$​ a = 12

a = $$\frac{(12 \times 100) }{ 40}$$​​

a = 30

Find the second number ('b'):

50% of b = 24

​$$\frac{50}{100}\times$$​b = 24

b = $$\frac{(24 \times 100) }{ 50}$$​​

b = 48

Find the ratio of the first number to the second number:

Ratio $$=\frac ab$$​​

Ratio $$=\frac{30 }{ 48}$$​​

Ratio = $$\frac5 8$$​​

Therefore, the ratio of the first number to the second number is 5:8.