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 90%,
then the percentage increase in their combined income will be:
This questions was previously asked in
SSC CGL 6 June 2019 Shift-1
Explanation:
- Let's assume B's income is \( x \).
- Then, A's income will be \( 1.5x \) because A earns 50% more than B.
- Initially, their combined income is \( 1.5x + x = 2.5x \).
- A's income is increased by 40%, making it \( 1.5x \times 1.4 = 2.1x \).
- B's income is increased by 90%, making it \( x \times 1.9 = 1.9x \).
- Now, their new combined income is \( 2.1x + 1.9x = 4x \).
- The increase in combined income is \( 4x - 2.5x = 1.5x \).
- The percentage increase in their combined income is \( \frac{1.5x}{2.5x} \times 100 = 60\% \).
- The correct answer is Option 2: 60.
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