A typist's salary rose by 10% then dropped by 5%. Drawing Rs. 1045 currently, what was his starting salary?
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Answer: C. 1000
Explanation
Applying a 10 percent increase to the starting salary multiplies the base amount by 1.10. Following up with a 5 percent decrease multiplies the adjusted amount by a factor of 0.95. Equating the final expression to 1045 and solving for the variable yields a starting salary of 1000. Successive percentage changes must be applied sequentially rather than simply adding or subtracting the percentage rates. Decreasing a value by a specific percentage is equivalent to multiplying it by one minus that percentage rate. Linear algebraic equations can be solved by isolating the unknown variable through inverse multiplication steps.
Option A represents an incorrect starting value that does not satisfy the sequential percentage equation. Option B yields an incorrect final amount when subjected to the specified increase and decrease factors. Option D fails to balance the algebraic equation required to reach the known final salary figure.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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