CAT 2021 Slot 1 · Quant · Question 7

CAT 2021 Slot 1 previous year question on Ratio and Proportion, with the answer and a step-by-step solution.

Ratio and ProportionArithmeticMultiple choiceMedium
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is
  1. A
    11:3
  2. B
    3:2
  3. C
    7:3
  4. D
    11:7
Pick an option, then check.
Answer & solution

Answer: Option A

Let the daily earnings be N, G and S.

Then N+G=6S and S+N=2G.

From the second, N=2G-S;

substituting into the first gives 3G=7S,

so S=\frac{3G}{7} and N=\frac{11G}{7}.

Taking G=7 gives N=11 and S=3,

so the required ratio is 11:3.

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