A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Correct answer: B. 200
- A. 150
- B. 200
- C. 250
- D. 275
Explanation
Let the total marks be M and passing marks be P. The two statements give 0.30M = P - 50 marks and 0.45M = P + 25 marks; subtracting gives 0.15M = 75 marks, so M = 500 marks and P = 0.30 x 500 + 50 = 200 marks. The likely mistake is 150 marks, which is the first candidate's score rather than the passing marks.
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About Percentages
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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