Question
Average income of 'X' and 'Y'
together is Rs. 45,000. Whereas the average expenditure of 'X' and 'Y' is Rs. 34,000. Find the savings of 'X' if the savings of 'X' is 20% more than that of 'Y'.Solution
ATQ, Sum of incomes of 'X' and 'Y' = 45,000 × 2 = Rs. 90,000 Sum of expenditures of 'X' and 'Y' = 34,000 × 2 = Rs. 68,000 So, sum of savings of 'X' and 'Y' = 90,000 - 68,000 = Rs. 22,000 Let the savings of 'Y' be Rs. '100y' So, savings of 'X' = 1.20 × 100y = Rs. '120y' Now, 100y + 120y = 22,000 Or, 220y = 22,000 So, 'y' = 100 Therefore, savings of 'X' = 120 × 100 = Rs. 12,000
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