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11 Jan 2020, 07:29
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D
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Difficulty:
55%
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Question Stats:
65% (02:30) correct
35%
(02:36)
wrong
based on 88
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When 18 litres of milk and water solution is mixed with 20 litres of milk and water solution having 75% percent of milk, the resultant mixture has 48% milk. What is the percentage of milk in the first solution?
A. 12%
B. 14%
C. 16%
D. 18%
E. 20%
A. 12%
B. 14%
C. 16%
D. 18%
E. 20%
11 Jan 2020, 07:53
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(x%)*18 + 75%*20= 48%*(18+20)
—> 18x = 48*38 —75*20= 1824 —1500= 324
—> 18x= 324 —> x= 18
The answer is D
Posted from my mobile device
—> 18x = 48*38 —75*20= 1824 —1500= 324
—> 18x= 324 —> x= 18
The answer is D
Posted from my mobile device
12 Jan 2020, 00:56
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When 18 litres of milk and water solution is mixed with 20 litres of milk and water solution having 75% percent of milk, the resultant mixture has 48% milk. What is the percentage of milk in the first solution?
A. 12%
B. 14%
C. 16%
D. 18%
E. 20%
Let x be the percentage of milk in the first solution.
Since 18 and 20 litres are not much apart, x must be very small compared to 75% as resultant percentage is 48%. Answer choices are not of much help because they are very close. Now
Using alligation method -
X ---------- 48% --------- 75% (Number of hyphens are in ratio of 18:20)
18 20
\(\frac{75-48}{48-x} = \frac{18}{20}\)
x = 18%
Answer D.
A. 12%
B. 14%
C. 16%
D. 18%
E. 20%
Let x be the percentage of milk in the first solution.
Since 18 and 20 litres are not much apart, x must be very small compared to 75% as resultant percentage is 48%. Answer choices are not of much help because they are very close. Now
Using alligation method -
X ---------- 48% --------- 75% (Number of hyphens are in ratio of 18:20)
18 20
\(\frac{75-48}{48-x} = \frac{18}{20}\)
x = 18%
Answer D.
