Salary Calculation Based on Allocations
This problem requires calculating the total employee salary by working backward from the given expense amount, considering percentage-based and ratio-based allocations.
Step-by-Step Calculation
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Let the employee's total salary be represented by S.
Charity contribution is 20% of the salary: $0.20 \times S$.
Amount remaining after charity: $S - 0.20S = 0.80S$.
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Investments are 40% of the remaining amount:
Investment amount = $0.40 \times (0.80S) = 0.32S$.
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The amount remaining after investments is allocated for education and travel:
Amount for Education & Travel = $0.80S - 0.32S = 0.48S$.
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This remaining amount ($0.48S$) is divided between education and travel in the ratio 7:5.
Total ratio parts = $7 + 5 = 12$ parts.
The travel expense corresponds to 5 parts of this ratio.
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Given that the travel expense is ₹6000:
5 parts = ₹6000
Value of 1 part = $\frac{₹6000}{5} = ₹1200$.
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The total amount allocated for education and travel is 12 parts:
Total for Education & Travel = $12 \times ₹1200 = ₹14400$.
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Now, equate this amount to the expression derived earlier:
$0.48S = ₹14400$.
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Solve for the total salary (S):
$S = \frac{₹14400}{0.48}$
$S = \frac{14400 \times 100}{48}$
$S = \frac{1440000}{48}$
$S = ₹30000$.
Therefore, the employee's total salary is ₹30,000.
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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:
