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The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?

Correct answer: C. 1000

  • A. 900
  • B. 950
  • C. 1000
  • D. 975

Explanation

The two changes multiply, so the present salary is 100% x 1.10 x 0.95 = 104.5% of the original salary. Therefore, original salary = 1045 rupees / 1.045 = 1000 rupees. The likely mistake is treating the net change as 10% - 5% = 5% and choosing 950 rupees.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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