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NCERT solutions for Mathematics [English] Class 6 chapter 12 - Ratio and Proportion [Latest edition]

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NCERT solutions for Mathematics [English] Class 6 chapter 12 - Ratio and Proportion - Shaalaa.com
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Solutions for Chapter 12: Ratio and Proportion

Below listed, you can find solutions for Chapter 12 of CBSE NCERT for Mathematics [English] Class 6.


EXERCISE 12.1EXERCISE 12.2EXERCISE 12.3
EXERCISE 12.1 [Pages 251 - 252]

NCERT solutions for Mathematics [English] Class 6 12 Ratio and Proportion EXERCISE 12.1 [Pages 251 - 252]

EXERCISE 12.1 | Q 1. (a) | Page 251

There are 20 girls and 15 boys in a class. What is the ratio of number of girls to the number of boys?

EXERCISE 12.1 | Q 1. (b) | Page 251

There are 20 girls and 15 boys in a class. What is the ratio of number of girls to the total number of students in the class?

EXERCISE 12.1 | Q 2. (a) | Page 251

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of number of students liking football to number of students liking tennis.

EXERCISE 12.1 | Q 2. (b) | Page 251

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of number of students liking cricket to total number of students.

EXERCISE 12.1 | Q 3. (a) | Page 251

See the figure and find the ratio of number of triangles to the number of circles inside the rectangle.

EXERCISE 12.1 | Q 3. (b) | Page 251

See the figure and find the ratio of number of squares to all the figures inside the rectangle. 

EXERCISE 12.1 | Q 3. (c) | Page 251

See the figure and find the ratio of number of circles to all the figures inside the rectangle.

EXERCISE 12.1 | Q 4. | Page 251

Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.

EXERCISE 12.1 | Q 5. | Page 251

Fill in the following blanks:

`15/18 = square/6 = 10/square = square/30`

[Are these equivalent ratios?]

EXERCISE 12.1 | Q 6. (a) | Page 251

Find the ratio of the following:

81 to 108
EXERCISE 12.1 | Q 6. (b) | Page 251

Find the ratio of the following:

98 to 63

EXERCISE 12.1 | Q 6. (c) | Page 251

Find the ratio of the following:

33 km to 121 km

EXERCISE 12.1 | Q 6. (d) | Page 251

Find the ratio of the following:

30 minutes to 45 minutes

EXERCISE 12.1 | Q 7. (a) | Page 251

Find the ratio of the following:

30 minutes to 1.5 hours

EXERCISE 12.1 | Q 7. (b) | Page 251

Find the ratio of the following:

40 cm to 1.5 m

EXERCISE 12.1 | Q 7. (c) | Page 251

Find the ratio of the following:

55 paise to ₹ 1

EXERCISE 12.1 | Q 7. (d) | Page 251

Find the ratio of the following:

500 mL to 2 litres

EXERCISE 12.1 | Q 8. (a) | Page 251

In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of money that Seema earns to the money she saves.

EXERCISE 12.1 | Q 8. (b) | Page 251

In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of money that she saves to the money she spends.

EXERCISE 12.1 | Q 9. | Page 251

There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.

EXERCISE 12.1 | Q 10. (a) | Page 251

In a college, out of 4320 students, 2300 are girls. Find the ratio of number of girls to the total number of students.

EXERCISE 12.1 | Q 10. (b) | Page 251

In a college, out of 4320 students, 2300 are girls. Find the ratio of number of boys to the number of girls.

EXERCISE 12.1 | Q 10. (c) | Page 251

In a college, out of 4320 students, 2300 are girls. Find the ratio of number of boys to the total number of students. 

EXERCISE 12.1 | Q 11. (a) | Page 252

Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted basketball to the number of students who opted table tennis.

EXERCISE 12.1 | Q 11. (b) | Page 252

Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted cricket to the number of students opting basketball.

EXERCISE 12.1 | Q 11. (c) | Page 252

Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted basketball to the total number of students. 

EXERCISE 12.1 | Q 12. | Page 252

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the cost of a pen to the cost of a ball pen.

EXERCISE 12.1 | Q 13. | Page 252

Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall. 

Breadth of the hall (in metres)

10

`square`

40

Length of the hall (in metres)

25

50

`square`

EXERCISE 12.1 | Q 14. | Page 252

Divide 20 pens between Sheela and Sangeeta in the ratio of 3 : 2.

EXERCISE 12.1 | Q 15. | Page 252

Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

EXERCISE 12.1 | Q 16. (a) | Page 252

Present age of father is 42 years and that of his son is 14 years. Find the ratio of present age of father to the present age of son.

EXERCISE 12.1 | Q 16. (b) | Page 252

Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of the father to the age of son, when son was 12 years old.

EXERCISE 12.1 | Q 16. (c) | Page 252

Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of father after 10 years to the age of son after 10 years.

EXERCISE 12.1 | Q 16. (d) | Page 252

Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of father to the age of son when father was 30 years old. 

EXERCISE 12.2 [Pages 255 - 256]

NCERT solutions for Mathematics [English] Class 6 12 Ratio and Proportion EXERCISE 12.2 [Pages 255 - 256]

EXERCISE 12.2 | Q 1. (a) | Page 255

Determine if the following are in proportion.

15, 45, 40, 120

EXERCISE 12.2 | Q 1. (b) | Page 255

Determine if the following are in proportion.

33, 121, 9, 96

EXERCISE 12.2 | Q 1. (c) | Page 255

Determine if the following are in proportion.

24, 28, 36, 48

EXERCISE 12.2 | Q 1. (d) | Page 255

Determine if the following are in proportion.

32, 48, 70, 210

EXERCISE 12.2 | Q 1. (e) | Page 255

Determine if the following are in proportion.

 4, 6, 8, 12

EXERCISE 12.2 | Q 1. (f) | Page 255

Determine if the following are in proportion.

33, 44, 75, 100

EXERCISE 12.2 | Q 2. (a) | Page 255

Write True (T) or False (F) against the following statement:

16 : 24 : : 20 : 30 

  • True

  • False

EXERCISE 12.2 | Q 2. (b) | Page 255

Write True (T) or False (F) against the following statement:

21 : 6 : :  35 : 10

  • True

  • False

EXERCISE 12.2 | Q 2. (c) | Page 255

Write True (T) or False (F) against the following statement:

12 : 18 : : 28 : 12

  • True

  • False

EXERCISE 12.2 | Q 2. (d) | Page 255

Write True (T) or False (F) against the following statement:

8 : 9 : :  24 : 27

  • True

  • False

EXERCISE 12.2 | Q 2. (e) | Page 255

Write True (T) or False (F) against the following statement:

5.2 : 3.9 : :  3 : 4

  • True

  • False

EXERCISE 12.2 | Q 2. (f) | Page 255

Write True (T) or False (F) against the following statement:

0.9 : 0.36 : :  10 : 4

  • True

  • False

EXERCISE 12.2 | Q 3. (a) | Page 256

Are the following statements true?

40 persons : 200 persons = ₹ 15 : ₹ 75

  • True

  • False

EXERCISE 12.2 | Q 3. (b) | Page 256

Are the following statements true?

7.5 litres : 15 litres = 5 kg : 10 kg

  • True

  • False

EXERCISE 12.2 | Q 3. (c) | Page 256

Are the following statements true?

99 kg : 45 kg = ₹ 44 : ₹ 20

  • True

  • False

EXERCISE 12.2 | Q 3. (d) | Page 256

Are the following statements true?

32 m : 64 m = 6 sec : 12 sec

  • True

  • False

EXERCISE 12.2 | Q 3. (e) | Page 256

Are the following statements true?

45 km : 60 km = 12 hours : 15 hours

  • True

  • False

EXERCISE 12.2 | Q 3. (d) | Page 256

Are the following statements true?

32 m : 64 m = 6 sec : 12 sec

  • True

  • False

EXERCISE 12.2 | Q 4. (a) | Page 256

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

25 cm : 1 m and ₹ 40 : ₹ 160

EXERCISE 12.2 | Q 4. (b) | Page 256

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion. 

39 litres : 65 litres and 6 bottles : 10 bottles

EXERCISE 12.2 | Q 4. (c) | Page 256

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion. 

 2 kg : 80 kg and 25 g : 625 g

EXERCISE 12.2 | Q 4. (d) | Page 256

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.  

200 mL : 2.5 litre and ₹ 4 : ₹ 50

EXERCISE 12.3 [Page 259]

NCERT solutions for Mathematics [English] Class 6 12 Ratio and Proportion EXERCISE 12.3 [Page 259]

EXERCISE 12.3 | Q 1. | Page 259

If the cost of 7 m of cloth is Rs 1470, find the cost of 5 m of cloth.

EXERCISE 12.3 | Q 2. | Page 259

Ekta earns Rs 3000 in 10 days. How much will she earn in 30 days?

EXERCISE 12.3 | Q 3. | Page 259

If it has rained 276 mm in the last 3 days, how many cm of rain will fall in one full week (7 days)? Assume that the rain continues to fall at the same rate.

EXERCISE 12.3 | Q 4. (a) | Page 259

Cost of 5 kg of wheat is Rs 91.50. What will be the cost of 8 kg of wheat?

EXERCISE 12.3 | Q 4. (b) | Page 259

Cost of 5 kg of wheat is Rs 91.50. What quantity of wheat can be purchased in Rs 183?

EXERCISE 12.3 | Q 5. | Page 259

The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

EXERCISE 12.3 | Q 6. | Page 259

Shaina pays Rs 15000 as rent for 3 months. How much does she has to pay for a whole year, if the rent per month remains same?

EXERCISE 12.3 | Q 7. | Page 259

Cost of 4 dozens bananas is Rs 180. How many bananas can be purchased for Rs 90?

EXERCISE 12.3 | Q 8. | Page 259

The weight of 72 books is 9 kg. What is the weight of 40 such books?

EXERCISE 12.3 | Q 9. | Page 259

A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

EXERCISE 12.3 | Q 10. | Page 259

Raju purchases 10 pens for Rs 150 and Manish buys 7 pens for Rs 84. Can you say who got the pens cheaper?

EXERCISE 12.3 | Q 11. | Page 259

Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over?

Solutions for 12: Ratio and Proportion

EXERCISE 12.1EXERCISE 12.2EXERCISE 12.3
NCERT solutions for Mathematics [English] Class 6 chapter 12 - Ratio and Proportion - Shaalaa.com

NCERT solutions for Mathematics [English] Class 6 chapter 12 - Ratio and Proportion

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 6 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 6 CBSE 12 (Ratio and Proportion) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 6 chapter 12 Ratio and Proportion are Concept of Ratio, Concept of Proportion, Concept of Unitary Method, Concept of Ratio, Concept of Proportion, Concept of Unitary Method.

Using NCERT Mathematics [English] Class 6 solutions Ratio and Proportion exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 6 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 12, Ratio and Proportion Mathematics [English] Class 6 additional questions for Mathematics Mathematics [English] Class 6 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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