Multiple Choice Questions on 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 ........... for SSC (MTS) Preparation

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Indian Economy - Understanding the basics of Indian economic system

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    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

    24%

    Incorrect Answer

    32%

    Incorrect Answer

    40%

    Incorrect Answer

    36%

    Correct Answer
    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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