Question

    The average income of 'Pawan',

    'Qureshi,' and 'Ranjan' is Rs. 'y', and their incomes are in the ratio of 5:3:4, respectively. 'Pawan,' 'Qureshi,' and 'Ranjan' save 40%, 20%, and 30% of their respective incomes. Determine the value of 'y' if 'Qureshi's expenditure is Rs. 1,500 less than 'Pawan's expenditure.
    A 11520 Correct Answer Incorrect Answer
    B 12000 Correct Answer Incorrect Answer
    C 25650 Correct Answer Incorrect Answer
    D 10000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ be Rs. ‘5x’, Rs. ‘3x’ and Rs. ‘4x’, respectively Expenditure of ‘Pawan’ = 5x – 5x × 0.4 = Rs. ‘3x’ Expenditure of ‘Qureshi’ = 3x – 3x × 0.2 = Rs. ‘2.4x’ Expenditure of ‘Ranjan’ = 4x – 4x × 0.3 = Rs. ‘2.8x’ ATQ, 3x – 2.4x = 1500 Or, 0.6x = 1500 Or, x = 2500 Average of incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ = {(5x + 3x + 4x)/3} = Rs. ‘4x’ Or, average of incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ = 4x = 4 × 2500 = 10000 Or, y = 10000

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