Question
The income ratio between 'P' and 'Q' is 5:4, while their
expenditure ratio is 9:7 respectively. If both manage to save Rs. 10,000 each, what is the difference in their expenditures?Solution
ATQ,
Let the income of 'P' and 'Q' be Rs. '5x' and Rs. '4x' respectively, and expenditure of 'P' and 'Q' be '9y' and Rs. '7y' respectively. 5x - 9y = 10000 -------- (I) And, 4x - 7y = 10000 ---------- (II) From equation I and II, We get, 5x - 9y = 4x - 7y Or, x = 2y On putting value of 'x' in equation I, We get, 5 × 2y - 9y = 10000 Or, 10y - 9y = 10000 Or, y = 10000 Required difference = 9y - 7y = 2y = 2 × 10000 = Rs. 20,000
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