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