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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
  • Answer & Explanation
Answer : [C]
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  
  • Answer & Explanation
Answer : [B]
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
  • Answer & Explanation
Answer : [A]
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
  • Answer & Explanation
Answer : [A]
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
  • Answer & Explanation
Answer : [D]
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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