Question 1026655
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When the original price of an item is increased by a certain rate, the increased price is P3100. 
When the original price is decreased by the same rate, the decreased priced is P 1900. What is the original price of the item?
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The equations are 

p*r = 3100,      (1)    ("When the original price of an item is increased by a certain rate, the increased price is P3100.")

{{{p/r}}} = 1900.       (2)     ("When the original price is decreased by the same rate, the decreased priced is P 1900.")

Here "p" is the original price, and "r" is the rate.

To find p, multiply equations (1) and (2). You will get

{{{p^2}}} = 3100*1900.

Now take the square root of both sides. You will get the answer.


The other tutor solved it by another way.
Simply because we differently interpret the term "rate".
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