1.
Milk and water are mixed in the ratio 4 : 1 to form solution 'A' and in the ratio of 3 : 2 to form solution B. A man takes equal quantities of solutions A and B and mixes them together. What is the ratio of quantities of milk to that of water in the mixture so formed?
• A.
3 : 7
• B.
1 : 1
• C.
7 : 3
• D.
3 : 2
Explanation :
Let the quantities of solutions of type A and B be 100 litres each. Thus solution A contains 80 litres milk and 20 litres water. Similarly solution B contains 60 litres milk and 40 litres water. When these are mixed, the total quantity of milk and water is 140 and 60 litres.
Required raio = 140 : 60 = 7 : 3
2.
Two litres of mixture of sprit and water contains 12% water This is added to 3 litres of another mixture of sprit and water containing 5% of water. Find the percentage of water in the resulting mixture.
• A.
7%
•  C. 7 3 5
•  B. 7 4 5
•  D. 7 2 5
Explanation :
Water present in first mixture =
 2 x 12 100
=
 6 25
litres
Water present in 2nd mixture =
 3 x 5 100
=
 3 20
litres
Total water present in 5 litres of the resulting mixture =
 6 25
+
 3 20

=
 24 + 15 100

=
 39 100

 Percentage of water present in the resulting mixture =
 39 100
x 100
5

 =
 39 5
 = 7
 4 5

3.
300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
• A.
60 gm
• C.
80 gm
• B.
70 gm
• D.
40 gm
Explanation :
The existing solution has 40% sugar. More salt is to be mixed to make 100% sugar solution.
So, by alligation method:
 40% 100%
 50%

 50% 10%
The two mixtures should be added in the ratio 5 : 1
Required sugar =
 300 5
x 1 = 60 gm
4.
To a 50 litre mixture containing water and milk in the ratio 2 :3, 30 litre of milk is added. What is the ratio of milk : water in the resultant solution?
• A.
3 : 1
• B.
2 : 1
• C.
1 : 3
• D.
1 : 2
Explanation :
Initially, milk =
 3 5
x 50 = 30
Water = 50 - 30 = 20
If 30 litres milk is added then new ratio =
 30 + 30 20
=
 60 20
= 3 : 1
5.
A seller has 50 kg of rice, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?
• A.
20 kg
• B.
25 kg
• C.
40 kg
• D.
30 kg
Explanation :
 1st part 2nd part
 8% profit 18% profit
 4%

 14% (mean profit)

 6%
Ratio of quantities sold at 8% profit and 18% profit = 4 : 6 = 2 : 3

Therefore, the quantity sold at 18% profit =
 50 2 + 3
x 3 = 30 kg
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