Question
The ratio of income and expenditure of a man is 5 : 3,
respectively. If the income and expenditure of the man are increased by 20% and 25% respectively, then find the percentage increase in the savings of the man.Solution
Let the income of the man be Rs. ‘5x’ So, expenditure of the man = Rs. ‘3x’ So, savings of the man = 5x – 3x = Rs. ‘2x’ New income of the man = 5x × 1.2 = Rs. ‘6x’ So, new expenditure of the man = 3x × 1.25 = Rs. ‘3.75x’ So, new saving = 6x – 3.75x = Rs. ‘2.25x’ So, required percentage increase
= {(2.25x – 2x) / 2x} × 100
= 12.5%
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