Question
Person ‘X’ earns 50% more than ‘Y’. While ‘X’
saves 30% of his income, ‘Y’ saves only 10% of hers. If the difference in their expenditures is Rs. 1,200, find the savings of ‘X’.Solution
ATQ,
Let the income of ‘Y’ be Rs. 100n
Income of ‘X’ = 1.5 × 100n = Rs. 150n
Expenditure of ‘X’ = 0.7 × 150n = Rs. 105n
Expenditure of ‘Y’ = 0.9 × 100n = Rs. 90n
So, 105n - 90n = 1200
Or, 15n = 1200
Or, n = 80
Savings of ‘X’ = 150n - 105n = 45n = 45 × 80 = Rs. 3,600
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