SOLUTION: On selling a chair at 7% loss and a table at 17% gain, a man gains Rs.296. If he sells the chair at 7% gain and the table at 12% gain, then he gains Rs.400. The actual price of the
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-> SOLUTION: On selling a chair at 7% loss and a table at 17% gain, a man gains Rs.296. If he sells the chair at 7% gain and the table at 12% gain, then he gains Rs.400. The actual price of the
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Question 741195: On selling a chair at 7% loss and a table at 17% gain, a man gains Rs.296. If he sells the chair at 7% gain and the table at 12% gain, then he gains Rs.400. The actual price of the table is: (Ans.: Rs. 2400) Answer by mananth(16946) (Show Source):
-0.07 x + 0.17 y = 296.00 .............1
Total value
0.07 x 0.12 y = 400.00 .............2
Eliminate y
multiply (1)by -0.12
Multiply (2) by 0.17
0.01 x -0.02 y = -35.52
0.01 x + 0.02 y = 68.00
Add the two equations
0.02 x = 32.48
/ 0.02
x = 1600.00
plug value of x in (1)
-0.07 x + 0.17 y = 296.00
-112.00 + 0.17 y = 296.00
0.17 y = 296.00 + 112.00
0.17 y = 408.00
y = 2400.00
x= 1600.00 cost of chair
y= 2400.00 cost of table
m.ananth@hotmail.ca
