Question
 The sum of the original incomes of ‘Atul’ and
‘Bineet’ is Rs. 82000. If the income of ‘Atul’ had been 26000 more, then his income would have been 25% more than the original income of ‘Bineet’. ‘Atul’ and ‘Bineet’ spend 85% and 75% of their respective original incomes. Find the difference between savings of ‘Atul’ and ‘Bineet’.Solution
ATQ, Let the original income of ‘Atul’ be Rs. 'a' Therefore, original income of ‘Bineet’ = Rs. (82000 – a) According to the question, (a + 26000) = 1.25(82000 – a) Or, a + 26000 = 102500 – 1.25a Or, 2.25a = 76500 Or, a = 34000 Therefore, income of ‘Atul’ = a = Rs. 34000 Income of ‘Bineet’ = 82000 – a = Rs. 48000 Therefore, savings of ‘Atul’ = 0.15 × 34000 = Rs.5100 Savings of ‘Bineet’ = 0.25 × 48000 = Rs. 12000 Required difference = 12000 – 5100 = Rs.6900
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