Three shopkeepers Ram Lal, Shyam Lal, and Ghansham are using polythene bags, handmade bags (prepared by prisoners), and newspaper's envelope as carry bags. It is found that the shopkeepers Ram Lal, Shyam Lal, and Ghansham are using (20,30,40), (30,40,20), and (40,20,30) polythene bags, handmade bags, and newspapers envelopes respectively. The shopkeepers Ram Lal, Shyam Lal, and Ghansham spent ₹250, ₹270, and ₹200 on these carry bags respectively.
Answers
Given: Shopkeepers Ram Lal, Shyam Lal, and Ghansham are using (20,30,40), (30,40,20), and (40,20,30) polythene bags, handmade bags, and newspapers envelopes respectively.
The shopkeepers Ram Lal, Shyam Lal, and Ghansham spent ₹250, ₹270, and ₹200 on these carry bags respectively.
To Find : Cost of polythene bags, handmade bags, and newspapers envelopes
Solution:
Cost of polythene bags, handmade bags, and newspapers envelopes respectively x , y and z rs
(20,30,40), (30,40,20), and (40,20,30) and corresponding cost ₹250, ₹270, and ₹200
20x + 30y + 40z = 250 => 2x + 3y + 4z = 25
30x + 40y + 20z = 270 => 3x + 4y + 2z = 27
40x + 20y +30z = 200 => 4x + 2y + 3z = 20
Adding all 3 Equations:
9x + 9y + 9z = 72
=> x + y + z = 8
=> 2x + 2y + 2z = 16
2x + 3y + 4z = 25
2x + 2y + 2z = 16
=> y + 2z = 9
3x + 4y + 2z = 27
3x + 3y + 3z = 24
=> y - z = 3
y + 2z = 9
y - z = 3
=> 3z = 6
=> z = 2
=> y = 5
x + y + z = 8
=> x = 1
x = 1 , y = 5 , z = 2
Cost of polythene bags, handmade bags, and newspapers envelopes
respectively are Rs 1, 5 and 2
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