**Case study Questions in Class 9 Mathematics Chapter 4 **are very important to solve for your exam. Class 9 Maths Chapter 4 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 9 Maths Case Study Questions Chapter 4 **Linear Equations in two variables**

In CBSE Class 9 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

**Linear Equations in two variables** Case Study Questions With Answers

**Linear Equations in two variables**Here, we have provided case-based/passage-based questions for Class 9 Maths **Chapter 4 Linear Equations in two variables**

**Case Study/Passage-Based Questions**

**Case Study 1:** Deepak bought 3 notebooks and 2 pens for Rs. 80. His friend Ram said that the price of each notebook could be Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs.5 and each pen could be Rs. 2.50. Another friend Ajay felt that Rs. 2.50 for one pen was too little. It should be at least Rs. 16. Then the price of each notebook would also be Rs.16

Lohith also bought the same types of notebooks and pens as Aditya. He paid 110 for 4 notebooks and 3 pens. Later, Deepak guesses the cost of one pen is Rs. 10 and Lohith guess the cost of one notebook is Rs. 30.

**(i) Form the pair of linear equations in two variables from this situation by taking the cost of one notebook as Rs. x and the cost of one pen as Rs. y.**(a) 3x + 2y = 80 and 4x + 3y = 110

(b) 2x + 3y = 80 and 3x + 4y = 110

(c) x + y = 80 and x + y = 110

(d) 3x + 2y = 110 and 4x + 3y = 80

Answer: (a) 3x + 2y = 80 and 4x + 3y = 110

**(ii) Which is the solution satisfying both the equations formed in (i)?**(a) x = 10, y = 20 (b) x = 20, y = 10

(c) x = 15, y = 15 (d) none of these

Answer: (b) x = 20, y = 10

**(iii) Find the cost of one pen?**(a) Rs. 20 (b) Rs. 10 (c) Rs. 5 (d) Rs. 15

Answer: (b) Rs. 10

**(iv) Find the total cost if they will purchase the same type of 15 notebooks and 12 pens.**(a) Rs. 400 (b) Rs. 350 (c) Rs. 450 (d) Rs. 420

Answer: (d) Rs. 420

**(v) Find whose estimation is correct in the given statement.**(a) Deepak (b) Lohith (c) Ram (d) Ajay

Answer: (a) Deepak

**Case Study 2:** In the below given layout, the design and measurements have been made such that area of two bedrooms and Kitchen together is 95 sq. m.

**(i) The area of two bedrooms and kitchen are respectively equal to**(a) 5x, 5y (b) 10x, 5y

(c) 5x, 10y (c) x, y

**(ii) Find the length of the outer boundary of the layout.**(a) 27 m (b) 15 m (c) 50 m (d) 54 m

**(iii) The pair of linear equations in two variables formed from the statements are**(a) x + y = 13, x + y = 9

(b) 2x + y = 13, x + y = 9

(c) x + y = 13, 2x + y = 9

(d) None of the above

**(iv) Which is the solution satisfying both the equations formed in (iii)?**(a) x = 7, y = 6 (b) x = 8, y = 5

(c) x = 6, y = 7 (d) x = 5, y = 8

**(v) Find the area of each bedroom.**(a) 30 sq. m (b) 35 sq. m

(c) 65 sq. m (d) 42 sq. m

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