CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1 · Question 36

Pair of Linear Equations in Two Variables 4 marks Hard

A coaching institute of Mathematics conducts classes in two batches I and II and fees for rich and poor children are different. In batch I, there are 20 poor and 5 rich children, whereas in batch II, there are 5 poor and 25 rich children. The total monthly collection of fees from batch I is Rs 9000 and from batch II is Rs 26,000. Assume that each poor child pays Rs

x

per month and each rich child pays Rs

y

per month.

(i)Represent the information given above in terms of $x$ and $y$ .[1]
(ii)Find the monthly fee paid by a poor child. OR Find the difference in the monthly fee paid by a poor child and a rich child.[2]
(iii)If there are 10 poor and 20 rich children in batch II, what is the total monthly collection of fees from batch II?[1]

Answer

Poor child's fee

=

Rs 200 (rich

=

Rs 1000; difference Rs 800); new collection

=

Rs 22000

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1 · Question 36

Answer

From the board paper

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