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Percentage Passing Score Requirement

CAT 2019 Slot 1 · Quantitative Ability · Easy · Percentages

This is an easy Quantitative Ability question from the CAT 2019 Slot 1 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Meena scores 40%40\% in an examination and after review, even though her score is increased by 50%50\%, she fails by 35 marks. If her post-review score is increased by 20%20\%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is

  1. A.

    75

  2. B.

    80

  3. C.

    60

  4. D.

    70

Answer

D

Explanation

Initial score =40%= 40\%. Post-review score =40%+50% of 40%=60%= 40\% + 50\% \text{ of } 40\% = 60\%. Passing marks P=60%+35P = 60\% + 35. If post-review score is increased by 20%20\%, score =60%+20% of 60%=72%= 60\% + 20\% \text{ of } 60\% = 72\%. Given 72%=P+7  ⟹  72%=60%+35+7=60%+4272\% = P + 7 \implies 72\% = 60\% + 35 + 7 = 60\% + 42. 12%=42  ⟹  1%=3.512\% = 42 \implies 1\% = 3.5 marks. Passing marks =60%+35=60%+10%=70%= 60\% + 35 = 60\% + 10\% = 70\%.

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