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03 Feb 2021, 03:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:42) correct
12%
(02:03)
wrong
based on 81
sessions
History
Date
Time
Result
Not Attempted Yet
Three men earn as much as 4 women, 4 women earn as much as 6 boys and 8 boys earn as much as 10 girls. If a girl earns $40 a day, then the earning of a man would be -
(A) $100
(B) $115
(C) $125
(D) $135
(E) $150
(A) $100
(B) $115
(C) $125
(D) $135
(E) $150
03 Feb 2021, 12:06
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1 girl earn \(=$40\)
10 Girls earn \(= $40*10=$400\)
Earning of 8 boys \(= $400\)
Earning of 6 boys \(=\frac{6}{8}*400= $ 300\)
Earning of 4 women \(= $ 300 =\) Earning of 3 mens
Earning of 1 men \(= $100\)
Ans A
10 Girls earn \(= $40*10=$400\)
Earning of 8 boys \(= $400\)
Earning of 6 boys \(=\frac{6}{8}*400= $ 300\)
Earning of 4 women \(= $ 300 =\) Earning of 3 mens
Earning of 1 men \(= $100\)
Ans A
03 Feb 2021, 12:19
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Two ways of solving this
Method 1: Solve with Values from boys to man
A girl earns $40 a day
8 boys earn as much as 10 girls
=> 8 boys earn = 10*$40 = $400
=> 1 boy earns = $400/8 = $50
4 women earn as much as 6 boys
=> 4 women earn = 6*$50 = $300
=> 1 woman earns = \(\frac{ $300}{4}\) = $75
Three men earn as much as 4 women
=> 3 men earn = 4*$75 = $300
=> 1 man earns = \(\frac{$300}{3}\) = $100
So, answer will be A
Method 2: Solve using variables from Man to boys and then put values
Three men earn as much as 4 women
=> 1 man earns = \(\frac{4}{3}\) women
4 women earn as much as 6 boys
=> 1 woman earns = \(\frac{6}{4}\) boys
=> 1 man earns = \(\frac{4}{3}\) women = \(\frac{4}{3}\) * \(\frac{6}{4}\) boys = 2 boys
8 boys earn as much as 10 girls
=> 1 boy earns = \(\frac{10}{8}\) girls = \(\frac{5}{4}\) girls = \(\frac{5}{4}\) * $40 = $50
=> 1 man earns = 2 boys = 2* $50 = $100
So, Answer will be A
Hope it helps!
Method 1: Solve with Values from boys to man
A girl earns $40 a day
8 boys earn as much as 10 girls
=> 8 boys earn = 10*$40 = $400
=> 1 boy earns = $400/8 = $50
4 women earn as much as 6 boys
=> 4 women earn = 6*$50 = $300
=> 1 woman earns = \(\frac{ $300}{4}\) = $75
Three men earn as much as 4 women
=> 3 men earn = 4*$75 = $300
=> 1 man earns = \(\frac{$300}{3}\) = $100
So, answer will be A
Method 2: Solve using variables from Man to boys and then put values
Three men earn as much as 4 women
=> 1 man earns = \(\frac{4}{3}\) women
4 women earn as much as 6 boys
=> 1 woman earns = \(\frac{6}{4}\) boys
=> 1 man earns = \(\frac{4}{3}\) women = \(\frac{4}{3}\) * \(\frac{6}{4}\) boys = 2 boys
8 boys earn as much as 10 girls
=> 1 boy earns = \(\frac{10}{8}\) girls = \(\frac{5}{4}\) girls = \(\frac{5}{4}\) * $40 = $50
=> 1 man earns = 2 boys = 2* $50 = $100
So, Answer will be A
Hope it helps!
