Correct Answer - Option 2 : 37.5%
Given:
Average earning of each member of A's family is 50% less than the average earning of each member of B's family. The total earning of A's family is 33.33% more than that of B's family.
Concept used:
Percentage
Calculation:
Let the number of members in A's family be x and in B's family be y
Ratio of average earning of A and B
⇒ A : B = 1 : 2
Total earning ratio of A and B
⇒ A : B = x : 2y
As per the question,
The total earning of A's family is 33.33% more than that of B's family
⇒ \(\frac{x}{{2y}} = \frac{4}{3}\)
⇒ \(\frac{x}{y} = \frac{8}{3}\)
To find, The number of person of B's family is what percent of the number of person of A's family
⇒ \( \frac{y}{x} \times 100\)
⇒ \(\frac{3}{8} \times 100 = 37.5\% \)