Percentage comparison of exam scores

CAT 2019 Slot 2 · QA · Medium · Percentages

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In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was

[TITA]

Answer

80

Explanation

We have:

  • A=0.9B  ⟹  B=A0.9A = 0.9 B \implies B = \frac{A}{0.9}
  • B=1.25C=54C  ⟹  C=45BB = 1.25 C = \frac{5}{4} C \implies C = \frac{4}{5} B
  • C=0.8D=45D  ⟹  D=54CC = 0.8 D = \frac{4}{5} D \implies D = \frac{5}{4} C

Given A=72A = 72: B=720.9=80B = \frac{72}{0.9} = 80 C=45×80=64C = \frac{4}{5} \times 80 = 64 D=54×64=80D = \frac{5}{4} \times 64 = 80

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