CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 36

Pair of Linear Equations in Two Variables 4 marks Medium

A school is organizing a grand cultural event to show the talent of its students. To accommodate the guests, the school plans to rent chairs and tables from a local supplier. It finds that rent for each chair is Rs.

50

and for each table is Rs.

200

. The school spends Rs.

30, 000

for renting the chairs and tables. Also, the total number of items (chairs and tables) rented are

300

. If the school rents '

x

' chairs and '

y

' tables, answer the following questions :

(i)Write down the pair of linear equations representing the given information.[1]
(ii)(a)Find the number of chairs and number of tables rented by the school.[2]
(ii)(b) [OR]If the school wants to spend a maximum of Rs. $27, 000$ on $300$ items (tables and chairs), then find the number of chairs and tables it can rent.[2]
(iii)What is maximum number of tables that can be rented in Rs. $30, 000$ if no chairs are rented?[1]

Answer

(i) The pair of equations is

x + y = 300

and

50 x + 200 y = 30000

, that is,

x + 4 y = 600

; (ii)(a) The school rented

200

chairs and

100

tables; (ii)(b) It can rent

220

chairs and

80

tables; (iii) At most

150

tables can be rented.

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 36

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