A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture

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Question
A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 12¹/₂ % on his outlay. How much water did each litre of the mixture contain?
Options
A. 32 litre 45
B. 13 litre 45
C. 32 litre 13
D. None of these

Correct Answer

13 litre 45

Explanation

Alligation or Mixture problems

Search Results

1.
A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains?
Options
A. 5 litre
B. 10 litre
C. 15 litre
D. 20 litre

2.
Rs. 1000 is lent out in two parts, one at 6 % simple interest and the other at 8 % simple interest. The yearly income is Rs. 75. The sum lent at 8 % is ?
Options
A. Rs. 250
B. Rs. 500
C. Rs. 750
D. Rs. 600

3.
A jar full of whisky contains 40 % of alcohol. A part of this whisky is replaced by another containing 19 % alcohol and now the percentage of alcohol was found to be 26. The quantity of whisky replaced is ?
Options
A. 2 5
B. 1 3
C. 2 3
D. 3 5

4.
A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 %?
Options
A. 4 kg
B. 5 kg
C. 8 kg
D. 30 kg

5.
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Options
A. 180
B. 175.50
C. 170
D. 169.50

6.
3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture ?
Options
A. 121 : 39
B. 131 : 49
C. 39 : 121
D. 49 : 131

7.
From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?
Options
A. 42 1 kg 8
B. 42 3 kg 8
C. 48 7 kg 8
D. 42 7 kg 8

8.
A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?
Options
A. 25
B. 10
C. 20
D. 21

9.
15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?
Options
A. 17
B. 16 2 3
C. 18 1 2
D. 15

10.
A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive?
Options
A. 1 : 4
B. 2 : 3
C. 1 : 5
D. 4 : 1

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