Question
The ratio of monthly income of 'A' to that of 'B' is
4:7, and monthly savings of 'A' are 20% less than that of 'B'. If 'B' saves (1/7)th of his monthly income such that his monthly expenditure is Rs. 14,000 more than that of 'A', then find the yearly income of 'A'.Solution
: Let the monthly income of 'B' be Rs. 35x Therefore, monthly income of 'A' = 35x x (4/7) = Rs. 20x So, the monthly savings of 'B' = (1/7) x 35x = Rs. '5x' Monthly expenditure of 'B' = 35x - 5x = Rs. '30x' Monthly savings of 'A' = 0.80 x 5x = Rs. '4x' Monthly expenditure of 'A' = 20x - 4x = Rs. '16x' ATQ, 30x - 16x = 14000 Or, 14x = 14000 Or, x = 1000 So, the yearly income of 'A' = 12 x 20x = 12 x 20 x 1000 = Rs. 2,40,000
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