Question

If the income of A is 50% more
than that of B, then by what percent B's income is more than that of A

Answer 1

Answer:

150

let A income be 100rs

then B income is 50/100 × 100

= 50 rs

A income in per cent 100/50×100

= 200%

more income = 200% -50 %

= 150%

Answer 2

Correct Question:

• If the income of A is 50% more than that of B, then by what percent B's income is less than that of A?

Given that:

• The income of A is 50% less than that of B.

To Find:

• By what percent B's income is less than that of A?

Let us assume:

• B's income be 100.

Finding A's income:

A's income = B's income + 50% of B's income

• A's income = 100 + 50% of 100
• A's income = 100 + 0.5 × 100
• A's income = 100 + 50
• A's income = 150

Finding percentage of B's salary more than A's salary:

Percentage = {(A's income - B's income) × 100%} / (A's income)

• Percentage = {(150 - 100) × 100%} / (150)
• Percentage = (50 × 100%) / 150
• Percentage = 5000% / 150
• Percentage = 33 1⁄3 % or 33.33% (approx.)

Hence,

• By 33 1⁄3 % B's income is less than that of A.