SOLUTION: When the price of an item was increased by sh.5. I bought 2 items fewer with sh.200.what is the current price of an item.

Let x be the lower price; then the greater price is (x+5).


For sh.200, you were able to buy   items.


For the same amount, you are able to buy    items at the increased price.


The difference is 2:


     -  = 2.


To solve this equation and to find "x", first cancel the factor "2" in both sides; then multiply both sides by x*(x+5).


     -  = 1

     100*(x+5) - 100x = x*(x+5)

     100x + 500 - 100x = x^2 + 5x

      x^2 + 5x - 500 = 0

      (x+25)*(x-20) = 0


The two roots are x= -25  and  x= 20,  but only positive value x= 20 is a meaningful solution.


ANSWER.  The price before increasing was sh.20;  after inceasing it became sh.25.