Question 1138872
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<pre>
Let x be the lower price; then the greater price is (x+5).


For sh.200, you were able to buy  {{{200/x}}} items.


For the same amount, you are able to buy  {{{200/(x+5)}}}  items at the increased price.


The difference is 2:


    {{{200/x}}} - {{{200/(x+5)}}} = 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).


    {{{100/x}}} - {{{100/(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.


<U>ANSWER</U>.  The price before increasing was sh.20;  after inceasing it became sh.25.
</pre>

Solved.


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