The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The&nbsp;amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio&nbsp;of the daily earnings of the one who earns the most to that of the one who earns the least is

CAT 2021 Question Paper | CAT Verbal Ability Slot 1

Question :

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

Started 3 months ago by Shashank in

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A.
7 : 3
B.
3 : 2
C.
11 : 3
D.
11 : 7

Option C is the correct answer.

Explanatory Answer

Let's consider the one-day earnings of Neeta, Geeta, Sita to be n, g, s respectively.
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days
n + g = 6(s) → eq(1)
The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days
s + n = 2(g) → eq(2)
By solving eq (1) & (2) you will get the ratio n : g : s = 11 : 7 : 3
The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is 11:3