Question
Income of Samar is 50% more than the expenditure of
Tanu. Income of Tanu is 20% more than the expenditure of Samar. If savings of Tanu is Rs. 1,600 less than that of Samar and ratio between expenditure and savings of Samar is 5:2, respectively, then find the income of Tanu.Solution
Let the expenditure of Tanu be Rs. ‘2x’
So, income of Samar = 2x × (3/2) = Rs. ‘3x’
Let the expenditure of Samar be Rs. ‘5y’
So, income of Tanu = 5y × (6/5) = Rs. ‘6y’
So, savings of Samar = 5y × (2/5) = Rs. 2y
ATQ;
3x – 5y = 2y
Or, 3x = 7y
Or, x = (7y/3)
Since, savings of Tanu is Rs. 1,600 less than that of Samar.
6y – 2x = 2y – 1600
On putting x = (7y/3):
6y – 14y/3 = 2y – 1600
Or, 4y/3 = 2y – 1600
Or, 2y/3 = 1600 ⇒ y = 2400
So, income of Tanu = 6 × 2400 = Rs. 14,400
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