Read the case study carefully and answer the following questions: Q-1:-Three friends Ravi, Raju and Rohit were doing buying and selling of stationery items ir market. The price of per dozen of Pen, Notebook and toys are Rupees x. y and z respectivel Ravi purchases 4 dozens of notebooks and sells 2 dozens of pens and 5 dozens of toys. Ra purchases 2 dozens of toy and sells 3 dozens of pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozens of notebooks and one dozen of toys. In the process, Ravi, Raju and Rohit earn 1500, 100 and R400 respectively
Answers
Given : Three friends Ravi, Raju and Rohit were doing buying and selling of stationery items in market.
To Find : Value of x , y and z
Solution:
The price of per dozen of Pen, Notebook and toys are Rupees x. y and z respectively
Ravi purchases 4 dozens of notebooks and sells 2 dozens of pens and 5 dozens of toys and earn 1500
=> 2x - 4y + 5z = 1500
Raju purchases 2 dozens of toy and sells 3 dozens of pens and 1 dozen of notebooks and earn 100
=> 3x + y - 2z = 100
Rohit purchases one dozen of pens and sells 3 dozens of notebooks and one dozen of toys and earn 400
-x + 3y + z = 400
2x - 4y + 5z = 1500 Eq1
3x + y - 2z = 100 Eq2
-x + 3y + z = 400 Eq3
Eq1 + 2Eq3
=> 2y + 7z = 2300
Eq2 + 3Eq3
=> 10y + z = 1300
2y + 7z = 2300 => 10y + 35z = 11500
10y + z = 1300
=> 34z = 10200
=> z = 300
10y + z = 1300
=> y = 100
on solving further x= 200 , y = 100 and z = 300
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