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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) (a) Find the monthly fee paid by a poor child.
1 100  
2 200  
3 150  
4 180  

Ans.

(2)

(a) Multiplying (i) by 5 and subtracting (ii) from it, we get

     100x + 25y = 45000

     5x + 25y = 26000

     -------------------

     95x = 19000

     ⇒ x = 19000 / 95 = 200

∴ Monthly fee paid by poor child = Rs 200