If cost of 5 chair and 4 table is 5600 and cost of 4 chair and 3 table is 4340 then find the cost of each table and chair
samyak201:
i think the question is wrong
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Lets assume Cost of one chair be x
Lets assume Cost of one table be y
Given
"" "" "" "" ""
1) 5x + 4y = 5600 ......... (1)
2) 4x + 3y = 4340 ........... (2)
From (1)
"" "" "" "" ""
5x + 4y = 5600
5x = 5600-4y
x = (5600-4y) /5 .......... (3)
Substitute (3) in (2)
"" "" "" "" "" """"" "" "" ""
4x + 3y = 4340
4{ (5600 - 4y) /5 } + 3y = 4340
(22400 - 16y) / 5 + 3y = 4340
(22400 - 16y + 15y) /5 = 4340
22400 - y = 21700
y = 22400 - 21700
y = 700 ........(4)
Substitute (4) in (3)
"" "" "" "" "" "" "" "" "" "
x = (5600-4y) /5
x = 5600 - 2800 / 5
x = 2800 / 5
x = 560
Therefore,
" "" "" "" "" "'' ''"
Cost of chair = 560 rs
Cost of table = 700 rs
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Lets assume Cost of one table be y
Given
"" "" "" "" ""
1) 5x + 4y = 5600 ......... (1)
2) 4x + 3y = 4340 ........... (2)
From (1)
"" "" "" "" ""
5x + 4y = 5600
5x = 5600-4y
x = (5600-4y) /5 .......... (3)
Substitute (3) in (2)
"" "" "" "" "" """"" "" "" ""
4x + 3y = 4340
4{ (5600 - 4y) /5 } + 3y = 4340
(22400 - 16y) / 5 + 3y = 4340
(22400 - 16y + 15y) /5 = 4340
22400 - y = 21700
y = 22400 - 21700
y = 700 ........(4)
Substitute (4) in (3)
"" "" "" "" "" "" "" "" "" "
x = (5600-4y) /5
x = 5600 - 2800 / 5
x = 2800 / 5
x = 560
Therefore,
" "" "" "" "" "'' ''"
Cost of chair = 560 rs
Cost of table = 700 rs
________________________
Follow @ devadakshan ❤
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