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Three friends Ravi, Raju and Rohit …

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Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively. Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys. In the process, Ravi, Raju and Rohit earn 1500, 100 and 400 respectively.

Posted by Aksha . S 1 year, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 1 year, 4 months ago

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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