Jamila sold a table and chair for rupees 1050 making a profit of 10% on a table and 25% on chair if she had taken a profit of 25% on the table and 10% on the chair she would have got rupees 1065 find the cost price of each
Answers
Define x and y:
Let the cost of the table be x
And the cost of the chair be y
Find the original selling price of the table and chair:
Profit from the table = 10% x = 0.1x
Selling Price of the table = x + 0.1x = 1.1x
Profit from the chair = 25% y = 0.25y
Selling Price of the chair = y + 0.25y = 1.25y
Total selling price = 1.1x + 1.25y
Form the equation:
The selling price is Rs 1050
1.1x + 1.25y = 1050
Find the new selling price of the table and chair:
Profit from the table = 25% x = 0.25x
Selling Price of the table = x + 0.25x = 1.25x
Profit from the chair = 10% y = 0.1y
Selling Price of the chair = y + 0.1y = 1.1y
Total selling price = 1.25x + 1.1y
Form the equation:
1.25x + 1.1y = 1065
Putting the 2 equations together:
1.1x + 1.25y = 1050 ----------------- [ 1 ]
1.25x + 1.1y = 1065----------------- [ 2 ]
[ 1 ] x 1.25 : 1.375x + 1.5625y = 1312.6 ---------------- [ 3 ]
[ 2 ] x 1.1 : 1.375x + 1.21y = 1171.50 ---------------- [ 4 ]
[ 3 ] - [ 4 ] :
0.3525y = 141
y = Rs 400 ---------------- sub into [ 1 ]
Find x:
1.1x + 1.25y = 1050
1.1x + 1.25 (400) = 1050
1.1x + 500 = 1050
1.1x = 550
x = Rs 500
Find the cost price:
Cost Price of the table = x = Rs 500
Cost Price of the chair = y = Rs 400
Answer: The cost price of the table is Rs 500 and the cost price of the chair is Rs 400
Answer:
Answer:cost price of table= rs 700
Answer:cost price of table= rs 700cost price of table = 600
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