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Solution


Q.

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 Rs9000 and from batch II is Rs26,000. Assume that each poor child pays Rs x per month and each rich child pays Rs y per month.

Based on the above information, answer the following questions:


 

(ii) (b) Find the difference in the monthly fee paid by a poor child and a rich child.
1 400  
2 500  
3 800  
4 -800  

Ans.

(3)

Multiplying (ii) by 4 and subtracting from (i), we get

     20x + 5y = 9000 ...........(i)

     20x + 100y = 104000 ...........(ii)

     -------------------

     -95y = -95000 ⇒ y = ?1000

∴ Difference in monthly fee paid by a poor child and a rich child = ?(1000 – 200) = Rs 800