# Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 7 - Variation [Latest edition]

## Solutions for Chapter 7: Variation

Below listed, you can find solutions for Chapter 7 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.

Practice Set 7.1Practice Set 7.2Practice Set 7.3
Practice Set 7.1 [Pages 36 - 37]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 7 Variation Practice Set 7.1 [Pages 36 - 37]

Practice Set 7.1 | Q 1.1 | Page 36

Write the following statement using the symbol of variation.

Circumference (c) of a circle is directly proportional to its radius (r).

Practice Set 7.1 | Q 1.2 | Page 36

Write the following statement using the symbol of variation.

Consumption of petrol (l) in a car and distance travelled by that car (d) are in direct variation.

Practice Set 7.1 | Q 2 | Page 36

Complete the following table considering that the cost of apples and their number are in direct variation.

 Number of apples (x) 1 4 ... 12 ... Cost of apples (y) 8 32 56 ... 160
Practice Set 7.1 | Q 3 | Page 36

If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14

Practice Set 7.1 | Q 4 | Page 36

If n varies directly as m, complete the following table.

 m 3 5 6.5 ... 1.25 n 12 20 ... 28 ...
Practice Set 7.1 | Q 5 | Page 36

y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.

Practice Set 7.1 | Q 6 | Page 37

The total remuneration paid to labourers, employed to harvest soyabeen is in direct variation with the number of labourers. If remuneration of 4 labourers is ₹ 1000, find the remuneration of 17 labourers.

Practice Set 7.2 [Pages 38 - 39]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 7 Variation Practice Set 7.2 [Pages 38 - 39]

Practice Set 7.2 | Q 1 | Page 38

The information about numbers of workers and number of days to complete a work is given in the following table. Complete the table.

 Number of workers 30 20 10 Days 6 9 12 36
Practice Set 7.2 | Q 2.1 | Page 38

Find constant of variation and write equation of variation for every example given below.

p ∝ $\frac{1}{q}$ ; if p = 15 then q = 4

Practice Set 7.2 | Q 2.2 | Page 38

Find constant of variation and write equation of variation for every example given below.

z ∝ $\frac{1}{w}$ ; when z = 2.5 then w = 24

Practice Set 7.2 | Q 2.3 | Page 38

Find constant of variation and write equation of variation for every example given below.

s ∝ $\frac{1}{t^2}$ ; if s = 4 then t = 5

Practice Set 7.2 | Q 2.4 | Page 38

Find constant of variation and write equation of variation for every example given below.

x ∝ $\frac{1}{\sqrt{y}}$ ; if x = 15 then y = 9

Practice Set 7.2 | Q 3 | Page 38

The boxes are to be filled with apples in a heap. If 24 apples are put in a box then 27 boxes are needed. If 36 apples are filled in a box how many boxes will be needed?

Practice Set 7.2 | Q 4.1 | Page 39

Write the following statement using symbol of variation .

The wavelength of sound (l) and its frequency (f) are in inverse variation.

Practice Set 7.2 | Q 4.2 | Page 40

Write the following statement using symbol of variation .

The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.

Practice Set 7.2 | Q 5 | Page 39

x ∝ $\frac{1}{\sqrt{y}}$  and when x = 40 then y = 16. If x = 10, find y.

Practice Set 7.2 | Q 6 | Page 39

x varies inversely as y, when x = 15 then y = 10, if x = 20 then y = ?.

Practice Set 7.3 [Page 40]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 7 Variation Practice Set 7.3 [Page 40]

Practice Set 7.3 | Q 1.1 | Page 40

Which of the following statement is of inverse variation?

Number of workers on a job and time taken by them to complete the job.

Practice Set 7.3 | Q 1.2 | Page 40

Which of the following statement is of inverse variation?

Number of pipes of same size to fill a tank and the time taken by them to fill the tank.

Practice Set 7.3 | Q 1.3 | Page 40

Which of the following statement is of inverse variation?

Petrol filled in the tank of a vehical and its cost

Practice Set 7.3 | Q 1.4 | Page 40

Which of the following statement is of inverse variation?

Area of circle and its radius.

Practice Set 7.3 | Q 2 | Page 40

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours ?

Practice Set 7.3 | Q 3 | Page 40

120 bags of half litre milk can be filled by a machine within 3 minutes find the time to fill such 1800 bags ?

Practice Set 7.3 | Q 4 | Page 40

A car with speed 60 km/hr  takes 8 hours to travel some distance. What should be the increase in the speed if the same distance is to be covered in 7$\frac{1}{2}$ hours?

## Solutions for Chapter 7: Variation

Practice Set 7.1Practice Set 7.2Practice Set 7.3

## Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 7 - Variation

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board 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. Balbharati solutions for Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board 7 (Variation) 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.

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 7 Variation are Direct Variation, Inverse Variation, Time, Work, Speed.

Using Balbharati Mathematics 8th Standard Maharashtra State Board solutions Variation 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 Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Mathematics 8th Standard Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

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