Question
The income of 'E' is Rs. 50,000 while the income of 'F'
is 20% more than that of 'E'. The ratio of expenditure and savings of 'E' is 2:3, respectively. 'F' spends Rs. 6,000 more than he saves. The expenditure of 'F' is how much percent of the savings of 'E'?Solution
ATQ, Income of 'F' = 50,000 × 1.20 = Rs. 60,000 Let the saving of 'F' = Rs. 'Y' Then, expenditure of 'F' = Rs. (Y + 6,000) So, Y + Y + 6,000 = 60,000 Or, 2Y + 6,000 = 60,000 So, Y = (60,000 - 6,000) ÷ 2 = 27,000 So, expenditure of 'F' = 27,000 + 6,000 = Rs. 33,000 Savings of 'E' = 50,000 × (3/5) = Rs. 30,000 So, required percentage = (33,000 ÷ 30,000) × 100 = 110%
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