Ratio and Proportion Questions and Answers

Ratio and Proportion Questions

Definition of Ratio

 This page is all about Ratio and Proportion and some of it’s questions to understand the concept clearly. So let us go through the definition and examples for the same. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

For Example: – In a class of 100 students, 43 are girls and the remaining are boys. Find the ratio of the total number of boys to the number of girls.
Solution:
Total number of students = 100; Total number of girls = 43

Total number of boys = Total number of students – Total number of girls
= 100 – 43
= 57

Therefore, the desired ratio is, (Number of boys: Number of girls), which is 57:43

Definition of Proportion

A proportion is an equation in which two ratios are set equal to each other.

For Example : – The time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 200km for 5 hours. Such as 100km/hr = 200km/5hrs.

For example : – Let us take another example to make the concept more easier. The number of students in 2 classrooms where the ratio of the number of girls to boys is equal. Our first ratio of the number of girls to boys is 5:7 and that of the other is 3:8, then the proportion can be written as: 5:7::3:8 or 5/7 = 3/8. Here, 5 and 8 are the extremes, while 7 and 3 are the means.

Ratio and Proportion

Some of the major formulas  are as follows:-

  • The ratio of two people a and b is denoted as a : b.
  • a : b = ma : mb, where m is a constant.
  • x : y : z = X : Y : Z is equivalent to x/X=y/Y=z/Z
  • If x/y = z/a  then, x+y/x-y  = z+a/z-a

Question 1

Time: 00:00:00
The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

300%

300%

200%

200%

400%

400%

600%

600%

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Question 2

Time: 00:00:00
A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :

196

196

84

84

120

120

165

165

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Question 3

Time: 00:00:00
In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs.How many pigeons are there?

150

150

160

160

180

180

190

190

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Question 4

Time: 00:00:00
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

25:2

25:2

24:3

24:3

22:1

22:1

22:4

22:4

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Question 5

Time: 00:00:00
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :

8:4

8:4

9:5

9:5

9:4

9:4

9:7

9:7

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Question 6

Time: 00:00:00
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

550

550

416

416

300

300

200

200

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Question 7

Time: 00:00:00
Eesha bought two varieties of rice, costing 50 rs per kg and 60 rs pre kg each, and mixed them in some ratio. Then she sold the mixture at 70 rs per kg. Making a profit of 20 percent. What was the ratio of the mixture?

2:1

2:1

2:4

2:4

1:5

1:5

1:8

1:8

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Question 8

Time: 00:00:00
On a certain assembly line the rejection rate for hyundai i10’s production was 4 percent for hyundai i20’s production 8 percent and the two cars combined 7 percent . what was the ratio of hyundai i20’s production to hyundai i10’s production?

5:6

5:6

2:1

2:1

3:1

3:1

4

4

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Question 9

Time: 00:00:00
The savings of an employee equals income-expenditure. If the income of A, B, C is in the ratio 1:2:3, expenses  3:2:1. What is the order of employees A, B. C in the decreasing order of the size of their savings?

a>c>b

a>c>b

b>a>c

b>a>c

b>c>a

b>c>a

c>b>a

c>b>a

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Question 10

Time: 00:00:00
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of the teachers would then be 25 to 1 What is the present number of teachers?

61

61

14

14

15

15

12

12

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Question 11

Time: 00:00:00
The savings of employee equals income minus expenditure.If the income of A,B,C are in the ratio 1:2:3 and their expense ratio 3:2:1 then what is the order of the employees in increasing order of their size of their savings?

A < B < C

A < B < C

A < C < B

A < C < B

A > B < C

A > B < C

A < B > C

A < B > C

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Question 12

Time: 00:00:00
Anusha, Banu and Esha run a running race of 100 meters. Anusha is the fastest followed by Banu and then Esha. Anusha, Banu and Esha maintain constant speeds during the entire race. When Anusha reached the goal post, Banu was 10m behind. When Banu reached the goal post Esha was 10m behind. How far was behind Anusha when the latter reached the goal post?

70

70

81

81

90

90

80

80

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["0","40","60","80","100"]
["Need more practice! \r\n \r\n","Keep trying! \r\n \r\n","Not bad! \r\n \r\n","Good work! \r\n \r\n","Perfect! \r\n \r\n"]

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