Ratio and proportion:- for TET Exams

Practice questions on ratio and proportion

1.The ratio of three numbers is 2:6:3 and their product is 47916. find their sum

2.There are three containers of equal capacity. The ratio of milk to water in those containers is 3:2, 7:3, 11:4 .If all the three containers are emptied and the mixture is transferred to a fourth container. what would be the ratio of milk to water in this new mixture.

3.A:(b + c) is equals to 2:5
B:( a + c)  is equals to 3:4.
Find a:b:c

4.A:(b + c) is equals to 2:5 
B:(a + c) is equal to 5:9 .
Find A:B:C

5.S=(a+b+c)/2
and (S-A):(S-B):(S:C) =4:7:10.
What is A:B:C.

6..(A/2)=(B/3)=(C/4)

Find (A+B+C)/A

7..(A/2)=(B/3)=(C/4)

Find (A^2+B^2+C^2)/A

8...200 liters of mixture of milk and water is in 17:3 , After addition of some more milk, the ratio  becomes 7:1 .How much milk was added to it?

9.A Can contains mixture of two liquids A and B in the ratio  7 : 5.

 when 9 liters of mixture is drawn off, and the can is filled with B. The ratio  of A and B becomes 7:9. How much liters of A was initially contained by the can?

10.Two alloys are both made up of Copper and Tin. The ratio of Copper and Tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5.  In what ratio they must be mixed to obtain a new alloy in which the ratio of tin and copper 8:3?

11.Fresh fruit contains 80% water and dry fruits contain 15% water. How many kilograms dry fruit can be made from 68 kg fresh fruits?

12..P:Q is equals to 5:12 

Q:R is equal to 4 : 15 

R:S= 6:7 

then find P:S .

13..The ratio of the marks obtained by A and B is 6 : 5. If the combined average of percentage is 68.75% and their sum of the marks is 275. Find the maximum marks of the exam.

14..Rupees 432 is divided among 3 workers A,B,C such that 8 times A's share is equal to 12 time B'share is equal to 6 times C's share. how much did A get?

15..And the the monthly salary of two persons is 4 : 7 if each receives an increase of rupees 25 in the salary the : changes to 3 : 5 find the respective salaries

16..A:B is equal to 1 : 2

 B:C is equal to 3 : 4

C:D is equal to 1 : 6 .

 Find A : B : C : D

17..The ratio of the incomes of A and B is 5 : 4 and ratio of their expenditure is 3: 2 If  B saves one third of his income ,find the ratio of their savings.

18..Some apples are to be distributed among some boys.
If 8 more apples are available , each boy would get four apples.
If two less apples are available , each boy would get 3 apples.
How many apples are available.

19..I have one rupees coins, 50 paise coins , 25 paise coins. The number of coins are in : 2.5 : 3 : 4.
If the total amount is 210, find the number of one rupee coin

20..if p/(q+r-p)=q/(p+r-q)=r/(p+q-r)=x
Find value of x.

21..In 2 alloys A & B the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively.
 7 kg of alloy A and 21 kg of alloy B are mixed together to form a new alloy.
what will be the ratio of zinc and tin in the new alloy?

22..A mixture contains wine and water in the ratio 3 : 2 .
Another mixture contains them in ratio 4 : 5 
How many liters of the later must be mixed with 3 liters of the former so that the resulting mixture may contain equal quantity of wine and water?

23}. 60 kg of alloy A is mixed with hundred kg of alloy B. If alloy A has lead and tin in the ratio 3:2, alloy B has Tin and lead in the ratio 1 : 4.
 The amount of Tin in the new alloy is?

24.. Annual income of Amit and Veer are in ratio 3:2, while the ratio of their expenditure is 5 : 3.
 if at the end of the year, each saves Rs 1000, The annual income of Amit is ?

25.. A and B have their monthly incomes in the ratio 8 : 5 and expenditure in the ratio 5 : 3.
If they save Rs 12000 in 10,000 monthly( respectively), then the difference in their monthly incomes is?

26.. In an Army selection process the ratio of selected to unselected Was 3 : 1 and if 60 less had applied,and 30 less selected ,the ratio of selected to unselected would have been 5:1.
 How many candidates have applied for the process?

27.. A man divided his property so that his sons share to his wife's and his wife's share to his daughter is both 3:1.
 If the daughter gets Rs 10000 less than the son, the value in Rupees of the full property is?

28.. The ratio of number of boys and girls in a school was 5 : 3 some new boys and the girls were admitted in the schools in ratio 5 : 7.
 At this moment, the total number of students in the school become 1200.
The ratio of the boys to girl change to 7 : 5 
The number of students in the school, before new admission was?

29..Rupees 555 was to be divided among A ,B,C in ratio 1/4 : 1/5 : 1/6 but by mistake it was divided in ratio 4 : 5 : 6 .

The amount in in excess received by C was?

30..A sum of Rs 312 is to be divided among hundred boys and girls, such that each boy gets Rs 3.16 & each girl gets Rs 2.40.

 Find out the number of boys in the class.

31.. The ratio between boys and girls in a class 6 : 5 respectively.
If 8 more boys join the class and 2 more girls leave the class , then ratio becomes  11:7.
What is the number of boys in the class snow?

32..Two containers A and B contain a mixture of acids and water in the ratio 4 : 5 and 5:1.
 If they are both mixed in proportion of 5 : 2 respectively, find the ratio of acid in water in the newly formed mixture?

Answers

1. k=11
2. 61/29
3. 2:3:2
4. 4:5;5
5. 17:14:11
6. 9/2
7. c.n.d
8. 40 liters 
9. 21 liters
10. 4:7
11. 16 kg
12. 2/21
13. 200
14. Rs 144
15. 200, 350
16. 3:6:8:48
17. 3:4
18. 32
19. 105 coins
20. both 1 and -1/2
21. 1:1
22. 5+2/5 liters
23. 44 kg
24. Rs 6000
25. Rs 42000
26. 240
27. Rs 16250
28. 960
29. Rs 72
30. Rs 60
31. 44 boys
32. 5:4