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
Explanation:
Let the earnings of Neeta, Geeta and Sita be ‘n’, ‘g’ and ‘s’ respectively.
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days ⇒ 6s = n + g …(1)
The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days ⇒ 2g = s + n ⇒ 2(6s – n) = s + n [From (1)] ⇒ 11s = 3n ⇒ n = 11s/3 …(2)
Substituting n = 11s/3 in (1)
⇒ 6s = 11s/3 + g ⇒ 7s/3 = g …(3)
From (2) and (3) 11s/3 > 7s/3 > s
∴ n > g > s
∴ The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is = 11s/3 : s = 11 : 3
Hence, option (c).
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