In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?
Correct answer: B. 500
- A. 750
- B. 500
- C. 250
- D. 125
Explanation
Since every candidate took at least one subject, the union is 100%. Therefore, both subjects = 65.8% + 59.2% − 100% = 25% of 2000 candidates = 0.25 × 2000 = 500 candidates. A student may choose 750 by adding the two subject totals without removing the double-counted candidates.
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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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