Question
The incomes of 'Aman' and 'Bittu' are in the ratio 8:15
respectively. Income of 'Aman' is increased by 50% and that of 'Bittu' is decreased by Rs. 3,000 such that decreased income of 'Bittu' equals 80% of income of 'Charu'. Also income of 'Charu' is Rs. 7000 more than the previous income of 'Aman'. Determine the increased income of 'Aman'.ÂSolution
ATQ, Let Aman, Bittu and Charu can be defined as A, B and C respectively.
Let the initial incomes of 'A' and 'B' be Rs. '8x' and Rs. '15x', respectively. So, new income of 'A' = 8x X 1.5 = Rs. '12x' And new income of 'B' = Rs. '15x - 3000' And income of 'C' = (15x - 3000) X (5/4) ATQ; (15x - 3000) X (5/4) = 7000 + 8x Or, 75x - 15000 = 28000 + 32x Or, 43000 = 43x So, x = 1000 So, new income of 'A' = 12 X 1000 = Rs.12,000Â
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