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Question 6 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be

(a) Rs. 750   (b) Rs.600   (c) Rs. 850   (d) Rs. 900

Transcript

Question 6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be (a) Rs. 750 (b) Rs.600 (c) Rs. 850 (d) Rs. 900 Let Cost of each chairs = Rs x Cost of each table = Rs y Now, given that 8 chairs and 5 tables cost Rs.10500 8x + 5y = 10500 And, 5 chairs and 3 tables cost Rs.6450 5x + 3y = 6450 Let Cost of each chairs = Rs x Cost of each table = Rs y Now, given that 8 chairs and 5 tables cost Rs.10500 8x + 5y = 10500 And, 5 chairs and 3 tables cost Rs.6450 5x + 3y = 6450 From (1) 8x + 5y = 10500 5y = 10500 − 8x y = 𝟏/𝟓(10500 − 8x) Putting value of y in (2) 5x + 3y = 6450 5x + 3 × 𝟏/𝟓(10500 − 8x) = 6450 Multiply by 5 both sides 5 × 5x + 5 × 3 × 1/5(10500 − 8x) = 5 × 6450 25x + 3 (10500 − 8x) = 32250 25x + 31500 − 24x = 32250 25x − 24x = 32250 − 31500 25x − 24x = 32250 − 31500 x = 750 Thus, Cost of chair = Rs x = Rs 750 So, the correct answer is (a)
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo