CBSE 2023 · Region 6 · Set 1 · Q36

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 $\displaystyle 20$ poor and $\displaystyle 5$ rich children, whereas in batch II, there are $\displaystyle 5$ poor and $\displaystyle 25$ rich children. The total monthly collection of fees from batch I is ₹ $\displaystyle 9000$ and from batch II is ₹ $\displaystyle 26$,000. Assume that each poor child pays ₹ $\displaystyle x$ per month and each rich child pays ₹ y per month.

Based on the above information, answer the following questions :

(i)

Represent the information given above in terms of $\displaystyle x$ and y .

(ii)

Find the monthly fee paid by a poor child.

(ii)

OR Find the difference in the monthly fee paid by a poor child and a rich child.

(iii)

If there are $\displaystyle 10$ poor and $\displaystyle 20$ rich children in batch II, what is the total monthly collection of fees from batch II ?