102
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 ₹9000 and from batch II is ₹26,000. Assume that each poor child pays $x$ 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 $x$ and $y$.
(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.
(iii) If there are 10 poor and 20 rich children in batch II, what is the total monthly collection of fees from batch II ?
Based on the above information, answer the following questions :
(i) Represent the information given above in terms of $x$ and $y$.
(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.
(iii) If there are 10 poor and 20 rich children in batch II, what is the total monthly collection of fees from batch II ?
Show SolutionHide Solution↓
(i) $20x + 5y = 9000$
$5x + 25y = 26000$
(ii) Solving the equations $x = 200$
Monthly fee paid by poor child = ₹200
OR
(ii) getting $x=200$ and $y= 1000$
Difference in the fee = $1000 - 200 = \text{Rs}800$
(iii) $10x + 20y = 10(200) + 20(1000)$
$= \text{Rs}22000$
$5x + 25y = 26000$
(ii) Solving the equations $x = 200$
Monthly fee paid by poor child = ₹200
OR
(ii) getting $x=200$ and $y= 1000$
Difference in the fee = $1000 - 200 = \text{Rs}800$
(iii) $10x + 20y = 10(200) + 20(1000)$
$= \text{Rs}22000$