Question
The incomes of Abhinav and Bishnu are in the ratio 4:3,
and their savings are in the ratio 3:1. Both spend Rs. 5,000 each. Determine the difference between their average incomes and their average savings.Solution
ATQ,
Let the incomes of 'Abhinav' and 'Bishnu' be Rs. '4p' and Rs. '3p', respectively. ATQ; {(4p - 5000)/(3p - 5000)} = (3/1) 4p - 5000 = 9p - 15000 Or, 10000 = 5p So, p = 2000 So, average incomes of 'Abhinav' and 'Bishnu' = {(4p + 3p)/2} = 3.5p = 3.5 × 2000 = Rs. 7,000 Savings of 'Abhinav' = 4p - 5000 = Rs. 3,000 Savings of 'Bishnu' = 3p - 5000 = Rs. 1,000 So, their average savings = {(3000 + 1000)/2} = Rs. 2,000 Required difference = 7000 - 2000 = Rs. 5,000Â
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