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31 Dec 2019, 03:18
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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:
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Question Stats:
63% (02:56) correct
37%
(03:02)
wrong
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12 litres of a milk and water solution having ratio of milk and water as 4 : 1 is mixed with 20 litres of another milk and water solution having ratio of milk and water in the ratio 5 : 1. Find the ratio of milk and water in the resultant solution.
A. 43 : 240
B. 43 : 197
C. 197 : 240
D. 197 : 43
E. None of these
A. 43 : 240
B. 43 : 197
C. 197 : 240
D. 197 : 43
E. None of these
26 Jul 2020, 04:30
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This sum uses the concept of Compound Mixtures.
Ratio of M : W = \(\frac{Total milk }{ Total water}\) = \(\frac{Milk in 1 + Milk in 2 }{ Water in 1 + Water in 2}\)
Given that
Container 1 has 12 L of Milk and water in the ratio 4 : 1
Container 2 has 20 L of Milk and water in the ratio 5 : 1
Milk in 1 = \(\frac{4}{5}\) * 12 = \(\frac{48}{5}\)
Milk in 2 = \(\frac{5}{6}\) * 20 = \(\frac{50}{3}\)
Total Milk = \(\frac{48}{5}\) + \(\frac{50}{3}\) = \(\frac{144+250 }{ 15}\) = \(\frac{394}{5}\)
Water in 1 = \(\frac{1}{5}\) * 12 = \(\frac{12}{5}\)
Water in 2 = \(\frac{1}{6}\) * 20 = \(\frac{10}{3}\)
Total Water = \(\frac{48}{5}\) + \(\frac{50}{3}\) = \(\frac{36 + 50}{5}\) = \(\frac{86}{15}\)
Required Ratio = \(\frac{\frac{394}{15}}{\frac{86}{15}}\) = \(\frac{394}{86}\) = \(\frac{197}{43}\)
Option D
Arun Kumar
Ratio of M : W = \(\frac{Total milk }{ Total water}\) = \(\frac{Milk in 1 + Milk in 2 }{ Water in 1 + Water in 2}\)
Given that
Container 1 has 12 L of Milk and water in the ratio 4 : 1
Container 2 has 20 L of Milk and water in the ratio 5 : 1
Milk in 1 = \(\frac{4}{5}\) * 12 = \(\frac{48}{5}\)
Milk in 2 = \(\frac{5}{6}\) * 20 = \(\frac{50}{3}\)
Total Milk = \(\frac{48}{5}\) + \(\frac{50}{3}\) = \(\frac{144+250 }{ 15}\) = \(\frac{394}{5}\)
Water in 1 = \(\frac{1}{5}\) * 12 = \(\frac{12}{5}\)
Water in 2 = \(\frac{1}{6}\) * 20 = \(\frac{10}{3}\)
Total Water = \(\frac{48}{5}\) + \(\frac{50}{3}\) = \(\frac{36 + 50}{5}\) = \(\frac{86}{15}\)
Required Ratio = \(\frac{\frac{394}{15}}{\frac{86}{15}}\) = \(\frac{394}{86}\) = \(\frac{197}{43}\)
Option D
Arun Kumar
General Discussion
01 Jan 2020, 03:02
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Milk1 ratio*vol1 + milk2 ratio*vol2 = final milk ratio*vol
788/30=(x/x+y)*32
Water1 ratio*vol1 + water2 ratio*vol2 = final water ratio*vol
172/30=(y/x+y)*32
Dividing both we get x/y=197/43
Posted from my mobile device
788/30=(x/x+y)*32
Water1 ratio*vol1 + water2 ratio*vol2 = final water ratio*vol
172/30=(y/x+y)*32
Dividing both we get x/y=197/43
Posted from my mobile device
