Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 4.4- Ratio and Proportion

Class 9: Maths Chapter 4.4 solutions. Complete Class 9 Maths Chapter 4.4 Notes.

Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 4.4- Ratio and Proportion

Maharashtra Board 9th Maths Chapter 4.4, Class 9 Maths Chapter 4.4 solutions

Question 1.
Fill in the blanks of the following.

Solution:

Question 2.
5m – n = 3m + 4n, then find the values of the following expressions.

Solution:
5m – n = 3m + 4n … [Given]
∴ 5m – 3m = 4n + n
∴ 2m = 5n

Question 3.
Solve:
i. If a(y + z) = b(z + x) = c(x + y) and out of a, b, c no two of them are equal, then show that, y−za(b−c)=z−xb(c−a)=x−yc(a−b).
Solution:
Here, no two of a, b and c are equal.
∴ values of (b – c), (c – a) and (a – b) are not zero.
a(y + z) = b(z + x) = c(x + y) … [Given]

ii. If x3x−y−z=y3y−z−x=z3z−x−y and x + y + z ≠ 0, then show that the value of each ratio is equal to 1.
Solution:

iii. x3x−y−z=y3y−z−x=z3z−x−y and x + y + z ≠ 0,then show that a+b2.
Solution:

iv. If y+za=z+xb=x+yc , then show that xb+c−a=yc+a−b=za+b−c.
Solution:

v. If 3x−5y5z+3y=x+5zy−5x=y−zx−z , then show that every ratio = xy.
Solution:

Question 4.
Solve:

Solution:


∴ 7(4x – 5)3(2x + 3)
∴ 28x – 35 = 6x + 9
∴ 28x – 6x = 9 + 35
∴ 22x = 44
∴ x = 2
∴ x = 2 is the solution of the given equation.

ii. 5y2+40y−125y+10y2−4=y+81+2y


∴ y + 8 = 3(1 + 2y)
∴ y + 8 = 3 + 6y
∴ 8 – 3 = 6y – y
∴ 5 = 5y
∴ y = 1
∴ y = 1 is the solution of the given equation.

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Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 4.4- Ratio and Proportion

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Chapterwise Maharashtra Board Solutions Class 9 Maths :

Part 1

• Chapter 1.1- Sets
• Chapter 1.2- Sets
• Chapter 1.3- Sets
• Chapter 1.4- Sets
• Chapter 2.1- Real Numbers
• Chapter 2.2- Real Numbers
• Chapter 2.3- Real Numbers
• Chapter 2.4- Real Numbers
• Chapter 2.5- Real Numbers
• Chapter 3.1- Polynomials
• Chapter 3.2- Polynomials
• Chapter 3.3- Polynomials
• Chapter 3.4- Polynomials
• Chapter 3.5- Polynomials
• Chapter 3.6- Polynomials
• Chapter 4.1- Ratio and Proportion
• Chapter 4.2- Ratio and Proportion
• Chapter 4.3- Ratio and Proportion
• Chapter 4.4- Ratio and Proportion
• Chapter 4.5- Ratio and Proportion
• Chapter 5.1- Linear Equations in Two Variables
• Chapter 5.2- Linear Equations in Two Variables
• Chapter 6.1- Financial Planning
• Chapter 6.2- Financial Planning
• Chapter 7.1- Statistics
• Chapter 7.2- Statistics
• Chapter 7.3- Statistics
• Chapter 7.4- Statistics
• Chapter 7.5- Statistics