ratio & proportion test 2

1. The are two vessels of equal capacity, one full of milk, and the second one-third full of water. The second vessel is then filled up put of the first, the contents of the second are then poured back into the first till it is full and then again the contents of the first are poured back into the second till it is full. What is the proportion of milk in the second vessel?

2. The ratio of the volume of water and glycerine in 240cc of mixture is 1 : 3. The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volumes of water and glycerine becomes 2 : 3 is

3. If (a +b) : (b+c) : (c+a) = 6 :7 : 8 and (a+b+c) =14, then the value of c is

4. A box contains ` 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one rupee coins. How many 50 paise coins are there in the box?

5. A sum of ` 300 is divided among P,Q and R in such a way that Q gets ` 30 more than P and R gets ` 60 more than Q. The ratio of their share is

6. The average weight of a class of 40 students is 30 kg and the average weight of a class of 20 students is 15 kg. Find the average weight of both the classes combined.

7. 5 kg of superior quality of rice is mixed with 25 kg of inferior quality rice. The price of superior quality and inferior quality rice is Rs. 18 and Rs. 12 respectively. The average price per kg of the mixture is:

8. A milkman has two types of milk. In the first container the percentage of milk is 80% and in the second container the percentage of milk is 60%. If he mixes 28 litres of milk of the first container to the 32 litres of milk of the second container, then the percentage of milk in the mixture is :

9. Bhuvnesh covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rickshaw. The speed of car and rickshaw is 20 km/hr and 12 km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are :

10. In what ratio should freely available water be mixed with the soda worth Rs. 60 per litre so that after selling the mixture at Rs. 50 per litre, the profit will be 25% ?

11. In a 50 litre mixture of water and milk, water is only 20%. The milkman gives 10 litre ‘of this’ mixture to a customer and then he adds up 10 litres of pure water in the remaining mixture. The percentage of water in the final mixture is :

12. There are three types of Butter, Parag, Amul and Nestle. The ratio of fat to the non-fat contents in butter is 4 : 5, 5 : 6, 6 : 7 respectively. If all these three types of butter is mixed in equal quantity, the ratio of fat to the non-fat contents in the mixture will be:

13. From the 50 litres of pure milk, 5 litres of milk is taken out and after it 5 litres of water is added to the rest amount of milk. Again 5 litres of mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the three times, the amount of milk left after the third replacement:

14. From a container of beer, a thief has stolen 15 litres of beer and replaced it with same quantity of water. He again repeated the same process. Thus in three attempts the ratio of beer and water became 343 : 169. The initial amount of beer in the container was :

15. A jar was full with milk. A person used to draw out 20% of the milk from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of milk left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of the milk in the jar was :

16. In my big pocket there are Rs. 25 consisting of only the denominations of 20 paise and 50 paise. Thus there are total 80 coins in my pocket. The no. of coins of the denomination of 50 paise is :

17. In the 75 litres of mixture of soda and water, the ratio of soda and water is 4 : 1. The quantity of water required to make the ratio of soda and water 3 : 1 is:

18. A Bus agency has 108 Buses. He sold some Bus at 9% profit and rest at 36% profit. Thus he gains 17% on the sale of all his Buses. The no. of Buses sold at 36% profit is :

18. In a 25 litres mixture of milk and water, the water is only 20%. How many litres of water is required to increase the percentage of water to 90% ?

19. A trader sells total 315 TV sets. He sells black and white TV sets at a loss of 6% and colour TV sets at a profit of 15%. Thus he gains 9% on the whole. The no. of black and white TV sets, which he has sold is :

20. The average age of boys in class is 16.66 years, while the average age of girls is 18.75 years. Thus the average age of all the 40 students of the class is 17.5 years. If the difference between the no. of boys and girls is 8, then the no. of girls in the class is :