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.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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