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The difference between a number and its two-fifth is 510. What is 10% of that number?

Correct answer: B. 85

  • A. 12.75
  • B. 85
  • C. 204
  • D. None of these

Explanation

The difference is 1 - 2/5 = 3/5 of the number, so (3/5)n = 510 and n = 510 x 5/3 = 850. Therefore, 10% of the number is (10/100) x 850 = 85, whereas option a, 12.75, applies 10% to 127.5 rather than to the required number.

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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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