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
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
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What is 12% of 4% of 7% of 2 × 10 6 ?
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If X is 12.25% more than Y. then Y is approximately_____ less than X.
