Question : Raman spends 80% of his income. If his income is increased by 25% and the expenditure increases by 10%, what will be the percentage increase in his savings?
Option 1: 17%
Option 2: 70%
Option 3: 77%
Option 4: 85%
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Correct Answer: 85%
Solution : Let Raman's income be Rs. 100. Raman spends 80% = $\frac{80}{100}× 100$ = Rs. 80 Raman's savings = 100 – 80 = Rs. 20 If his income is increased by 25%, New income $=\frac{125}{100} × 100 = 125$ If his expenditure increases by 10%, New expenditure $=(\frac{110}{100}) × 80 = 88$ New savings = 125 – 88 = Rs. 37 The increase in savings is (37 – 20) = Rs. 17 Percentage change = $\frac{\text{Difference}}{\text{Initial value}} × 100$ Percentage increase in savings $=\frac{17}{20} × 100 = 85$% Hence, the correct answer is 85%.
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