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10 Jan 2022, 11:54
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
60% (02:51) correct
40%
(02:43)
wrong
based on 101
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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:
A. 7 : 3
B. 11 : 7
C. 3 : 2
D. 11 : 3
E. 11 : 5
A. 7 : 3
B. 11 : 7
C. 3 : 2
D. 11 : 3
E. 11 : 5
10 Jan 2022, 18:50
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Hey please share the solution to this.
10 Jan 2022, 22:18
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ayushr1804
Use logic:
"The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days."
This means that either all three earn the same every day (not true as per other data) or one of Sita and Neeta earns more than Geeta and one earns less.
"The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days"
What Neeta and Geeta together earn in a day, Sita earns in 6 days. This means Sita earns the least and much less at that. Then Neeta earns the most.
Neeta > Geeta > Sita
So first option I will try for Neeta: Sita is 11: 3 (because Sita earns much lower than Neeta)
In 6 days, Sita will earn 18 units, which is what Neeta + Geeta earn in a day so it would be 11 + 7 units.
So Sita and Neeta together earn 11 + 3 = 14 units in a day and Geeta earns 7*2 = 14 units in 2 days. It matches!
Hence answer is (D).
Method II
We can use algebra to get the answer too though I normally do not like to use this method.
Assume Neeta earns n units in a day, Geeta earns g units and Sita earns s units in a day.
n + g = 6s ... (I)
s + n = 2g ... (II)
Subtract (I) - (II) to get:
7s = 3g
s/g = 3/7
Also, add (I) + 6*(II) to get
7n = 11g
n/g 11/7
Hence n:g:s = 11:7:3
Answer (D)
