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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.
Solved.
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To see many other similar solved problems, look into the lesson
- Had they sold . . .
in this site.