Sum of linear equation

Question

Sharad brought a table and a fan together at rs 5000 . After sometime he sold the table at the gain of 25% . And the fan at gain of 20%. This he gained 23% on the whole find cost of fan

Answer 1

Om,

 

There will be two equations, one dealing with the cost, the other dealing with the profit when sold.

Let x = cost of fan and y = cost of table

x+y = 5000   That's what he spent when he bought them.

The next equation deals with how much he made when he sold them.

.25y + .2x = .23 (5000)

x + y = 5000 

x = 5000 - y    Substitute this in for x

.25y + .2(5000 - y) = .23 (5000)

.25y + 1000 - .2y = 1150

 

Solve for y, then plug that value back in to solve for x.

You've got it.

Mary