Raees allocates 15% of his earnings to a fixed deposit and uses 30% of the remainder for groceries. If Rs. 2380 remains in cash, what is his salary?
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Answer: B. Rs. 4000
Explanation
Subtracting the initial fifteen percent allocation leaves eighty-five percent of the total salary intact. Taking thirty percent of this remaining eighty-five percent accounts for the grocery expenditure, leaving fifty-nine point five percent overall. Equating this final percentage of fifty-nine point five to the remaining cash amount of two thousand three hundred eighty yields a total salary of four thousand. Successive percentage decreases require calculating remaining fractions sequentially rather than simply adding the percentage rates together. Algebraic substitution allows unknown whole quantities to be recovered from fractional percentage remainders. Financial word problems often layer multiple expenditure deductions to simulate real-world budgeting constraints.
Option A results in an insufficient remaining amount when subjected to the exact sequential percentage deductions. Option C overestimates the initial salary because it miscalculates the compounded effect of the remaining percentages. Option D produces a final cash remainder that is higher than the specified two thousand three hundred eighty.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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