Understanding Raman's Savings Change
The question asks how Raman's savings change when his income and expenditure both increase by 50%. We need to calculate the initial savings, the new savings after the increase, and find the difference.
Calculating Initial Savings and Expenditure
- Initial Income ($I_1$): $₹77,600$
- Savings Percentage: $13\%$
- Initial Savings ($S_1$): $0.13 \times 77,600 = ₹10,088$
- Initial Expenditure ($E_1$): $I_1 - S_1 = 77,600 - 10,088 = ₹67,512$
Calculating New Income and Expenditure
Both income and expenditure increase by 50%.
- New Income ($I_2$): $I_1 \times (1 + 0.50) = 77,600 \times 1.50 = ₹116,400$
- New Expenditure ($E_2$): $E_1 \times (1 + 0.50) = 67,512 \times 1.50 = ₹101,268$
Determining the Change in Savings
- New Savings ($S_2$): $I_2 - E_2 = 116,400 - 101,268 = ₹15,132$
- Change in Savings: $S_2 - S_1 = 15,132 - 10,088 = ₹5,044$
The savings increase by ₹5,044.
Similar Questions
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Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
