The income of A is 50% more than that of B. If the income of A is increased by 40% and the income of B is increased by 30%,
then the percentage increase in their combined income is:
This questions was previously asked in
SSC MTS 7th October 2021 Shift-2
Explanation:
- Let's assume B's income is \( x \).
- A's income is 50% more than B's, so A's income is \( 1.5x \).
- Combined initial income: \( x + 1.5x = 2.5x \).
- After the increase:
- A's income becomes \( 1.5x \times 1.4 = 2.1x \).
- B's income becomes \( x \times 1.3 = 1.3x \).
- New combined income: \( 2.1x + 1.3x = 3.4x \).
- Increase in combined income: \( 3.4x - 2.5x = 0.9x \).
- Percentage increase in combined income:
\[
\frac{0.9x}{2.5x} \times 100 = 36\%
\]
- Option 4: 36% is correct.
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