1 . 
A mixture of certain quantity of milk with 16 litres of water is worth 90 P per litre. If pure milk be worth ` 1.08 per litre, how much milk is there in the mixture? 

Answer & Explanation
Answer : Option
C


Explanation : 







2 . 
How many kg of salt at 42 P per kg must a man mix with 25 kg of salt at 24 P per kg so that he may, on selling the mixture at 40 P per kg gain 25% on the outlay? 

Answer & Explanation
Answer : Option
B


Explanation : 

Cost price of mixture = 40 $\times$ $100 \over 125$P = 32P per kg the required no.of kg = 25$\times$ $4 \over 5$ = 20 





3 . 
300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution? 

Answer & Explanation
Answer : Option
C


Explanation : 

Therefore, required sugar = $300 \over 5$ $\times$ 1 = 60 gm 





4 . 
There are 65 students in a class. 39 rupees are distributed among them so that each boy gets 80 P and each girl gets 30 P. Find the number of boys and girls in that class. 

Answer & Explanation
Answer : Option
C


Explanation : 







5 . 
A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs. 20/litre he may get a profit of 25%? 

Answer & Explanation
Answer : Option
C


Explanation : 







6 . 
In what ratio should milk and water be mixed so that after selling the mixture at the cost price a profit of 16$2 \over 3$% is made ? 

Answer & Explanation
Answer : Option
C


Explanation : 







7 . 
A trader has 50 kg of rice, a part of which he sells at 14% profit and the rest at 6% loss. On the whole his loss is 4%. What is the quantity sold at 14% profit and that at 6% loss? 

Answer & Explanation
Answer : Option
B


Explanation : 

Quantity sold at 14% profit = $50 \over {1 + 9}$ $\times$ 1 = 5 kg and sold at 6% loss = 50  5 = 45 kg. 





8 . 
A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%. Find the initial quantity of milk and water. 

Answer & Explanation
Answer : Option
C


Explanation : 

quantity of milk = $80 \over {5 + 3}$ $\times$ 5 = 50 litres and quantity of water = $80 \over {5 +3}$ $\times$ 3 = 30 litres 





9 . 
A container contained 80 kg of milk. From this container, 8 kg of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container? 

Answer & Explanation
Answer : Option
C


Explanation : 







10 . 
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water? 

Answer & Explanation
Answer : Option
B


Explanation : 







11 . 
An alloy contains copper and zinc in the ratio 5 : 3 and another alloy contains copper and tin in the ratio 8 : 5. If equal weights of both the alloys are melted together, then the weight of tin in the resulting alloy per unit will be: 

Answer & Explanation
Answer : Option
B


Explanation : 







12 . 
A dishonest milkman preofesses to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is ___________. 

Answer & Explanation
Answer : Option
D


Explanation : 

% of water in mixture = $1 \over {3 + 1}$ $\times$ 100 = 25% 





13 . 
A can contains a mixture of two liquids A and B in proportion 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially? 

Answer & Explanation
Answer : Option
D


Explanation : 

When 9 litres of B is mixed, original mixture should be , $9 \over 1$ $\times$ 3 = 27 litres Therefore initial quantity in can = 27 + 9 = 36 litres. 





14 . 
In a mixture of 60 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water to be further added is ___________. 

Answer & Explanation
Answer : Option
C


Explanation : 







15 . 
A vessel is fully filled with a special liquid. Four litres of liquid is drawn out from this vessel and is replaced with water. If the ratio from the special liquid to the water becomes 1: 2, then what is the capacity of the vessel ? 

Answer & Explanation
Answer : Option
C


Explanation : 







16 . 
In three vessels each of 10 litres capacity, mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and and water in the mixture. 

Answer & Explanation
Answer : Option
C


Explanation : 







17 . 
Milk and water are mixed in a vessel A in the proportion 5 : 2, and in vessel B in the proportion 8 : 5. In what proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 9 : 4? 

Answer & Explanation
Answer : Option
C


Explanation : 







18 . 
A butler stores wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal? 

Answer & Explanation
Answer : Option
C


Explanation : 







19 . 
Jayashree purchased 150 kg of wheat of the rate of ` 7 per kg. She sold 50 kg at a profit of 10%. At what rate per kg should she sell the remaining to get a profit of 20% on the total deal? 

Answer & Explanation
Answer : Option
B


Explanation : 







20 . 
A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar? 

Answer & Explanation
Answer : Option
D


Explanation : 







21 . 
In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water? (Weight in gm) 

Answer & Explanation
Answer : Option
E


Explanation : 

Initially water (weight) = 45 gm & milk 15 gm. After added 15 gm water the percentage of water = ${weight \,\,\, of \,\,\,water} \over {total \,\,\,weight \,\,\,of \,\,\,mixture}$ $\times$ 100 = $60 \over 75$ $\times$ 100 = 80 % 





22 . 
Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container is 7 : 2. In what ratio should the mixtures of these two containers be added together so that the quantity of milk in the new mixture may become 80%? 

Answer & Explanation
Answer : Option
B


Explanation : 







23 . 
Three containers of capacity 20 L, 5 Land 9 L contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three containers are emptied into a large vessel. What is the approximate ratio of milk to water in the resulatant mixture ? 

Answer & Explanation
Answer : Option
C


Explanation : 







24 . 
Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the ratio of alcohol and water in the third glass? 

Answer & Explanation
Answer : Option
B


Explanation : 







25 . 
A merchant blends two varieties of tea, one costing Rs. 20 per kg and another costing Rs. 28 per kg, in the ratio 3 : 2 respectively. He sold the mixture at Rs. 24 per kg. What is his percentage of gain? 

Answer & Explanation
Answer : Option
A


Explanation : 







26 . 
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%? 

Answer & Explanation
Answer : Option
A


Explanation : 







27 . 
A jar full of whisky contains 40% 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: 

Answer & Explanation
Answer : Option
B


Explanation : 







28 . 
Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ? 

Answer & Explanation
Answer : Option
D


Explanation : 







29 . 
Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69$3 \over 13$% milk, is: 

Answer & Explanation
Answer : Option
A


Explanation : 







30 . 
A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can in filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially? 

Answer & Explanation
Answer : Option
C


Explanation : 







