CAT 2021 Slot 1 QA Question 22: 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 dai

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 dai

Accepted Answer

Let the daily earnings of Neeta, Geeta and Sita be $N$, $G$ and $S$ respectively.
From the given conditions,
$N + G = 6S$
$S + N = 2G$
From the second equation,
$N = 2G - S$
Substitute this in the first equation.
$2G - S + G = 6S$
$3G = 7S$
$G = \dfrac{7S}{3}$
Then
$N = 2 	imes \dfrac{7S}{3} - S =

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