Multiple Choice Questions on The ratio of monthly incomes of Pawan and Sunil is 4 3 and the ratio of their monthly expenditures i........... for SSC (MTS) Preparation

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Multiple Choice Questions

The ratio of monthly incomes of Pawan and Sunil is 4 3 and the ratio of their monthly expenditures i...........

Quantitative Aptitude (MTS) Ratio, Proportion
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    The ratio of monthly incomes of Pawan and Sunil is 4 : 3 and the ratio of their monthly expenditures is 3 : 2. If Pawan and Sunil save Rs 4000 and Rs 6000 respectively per month, then what is the sum of their monthly incomes? 

    Rs 60000

    Incorrect Answer

    Rs 70000

    Correct Answer

    Rs 50000

    Incorrect Answer

    Rs 36000

    Incorrect Answer
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    Explanation:

    Let's break it down:

    - Let Pawan's income = 4x; Sunil's income = 3x

    - Pawan's expenditure = 3y; Sunil's expenditure = 2y

    - Pawan's saving = 4x - 3y = 4000

    - Sunil's saving = 3x - 2y = 6000

    Now solve the equations:

    - (1) 4x - 3y = 4000

    - (2) 3x - 2y = 6000

    Multiply (2) by 3: 9x - 6y = 18000

    Multiply (1) by 2: 8x - 6y = 8000

    Subtract: (9x - 6y) - (8x - 6y) = 18000 - 8000

    This gives: x = 10000

    So, total income = 4x + 3x = 7x = 7 × 10000 = Rs 70000

    So the correct answer is:

    Option 2: Rs 70000

    By: santosh
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