sharad bought a table and a fan together for Rs.5000.after sometime he sold the table at a gain of 25% and the fan at a gain of 20%, thereby making a prfit of 23% on the whole trasaction. find the cost of 3 fans
Sol: Let the cost of a table be Rs. x and that of a fan be Rs. y.
According to first condition,
x + y = 5000
According to second condition,
25 20 23 100 x+
100
100 (x + y)
Multiplying the equation throughout by 100
25x + 20x = 23x + 23y
25x - 23x + 20x - 23y = 0
2x - 3y = 0 . eq (2)
Multiplying the equation (1) by 3, we get
3x + 3y 15000 . eq (3)
Adding equation (2) and (3)
2x - 3y = 0
3x + 3y = 15000
5x = 15000
15000
5
*x = 3000
Substituting x = 5000 in equation no (1)
x + y = 5000
* 3000 + y = 5000
"+ y = 5000 - 3000
* y = 2000
The cost of the fan is Rs. 2000