Question
Download Solution PDFSoham’s initial expenditure and savings were in the ratio of 5 ∶ 3. His income increases by 25%. If his initial savings were ₹4,500, find his income (in ₹) after the increment.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initially ratio of expenditure and saving of Soham's = 5 : 3
The initial saving = Rs. 4500
Formula used:
Income = Saving + Expenditure
Calculation:
Let the initial ratio of saving and expenditure be 3X and 5X
⇒ 3X = 4500
⇒ X = 1500
The initial income = 3X + 5X = 8X = 1500 × 8 = 12000
The income after increment = \({(1\ +{25\over100})}\ \times 12000 ={(1+{1\over4})}\times 12000={5\over4}\times 12000=5\times 3000 = 15000\)
∴ The required result will be 15000.
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