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In an exam, total marks gained by four students were 720.5. A got 10% less than B, B got 30% more than C and C got 25% less than D. If A got 175.5 marks, how much marks did D get in the examination?1. 2002. 1503. 1754. 250 |
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Answer» Correct Answer - Option 1 : 200 Given: Total marks = 720.5 A got 10% less than B, B got 30% more than C and C got 25% less than D. A got marks = 175.5 Calculation: Marks obtained by given person in terms of another person = Marks obtained by another person +/- markspercentage by which another person obtains more/less marks than the given person Calculation: Let the marks obtained by D be x. C got 25% less than D. C = x – 25% of x ⇒ 75% of x = 0.75x B got 30% more than C. B = 0.75x + 30%of 0.75x ⇒ 0.75x + 0.225x ⇒ 0.975x A got 10% less than B. A = 0.975x – 10% of 0.975x ⇒ 0.975x – 0.10 × 0.975x ⇒ 0.8775x A got marks = 175.5 ⇒ 0.8775x = 175.5 ⇒ x = 175.5/0.8775 ⇒ x = 200 marks ∴ D obtained 200 marks. |
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