Commodity was 7.50 this Cast year the cost of a year the cost of commodity decreased to 710. What is the percentage of Decrease price? and
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Price of a commodity decreased by 10% last year and increased by 20% this year. Find the % change in two years.
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Solution
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Let the price of the commodity before last year = x
the last year price is decreased by 10%.
Therefore price of commodity in the last year = x - 10% of x = x−
100
10x
=
100
100x−10x
=
10
9x
.
Now in the current year commodity is increased by 20%.
Therefore price of commodity this year =
10
9x
+ 20% of
10
9x
=
10
9x
+
100
20
×
10
9x
=
10
9x
(1 +
5
1
) =
10
9x
(
5
6
) =
50
54x
.
So, % change in two years =
originalprice
pricethisyear−originalprice
× 100 =
x
50
54x
−x
× 100 =
50x
54x−50x
× 100 =
50x
4x
×100 = 8%.
Hence, % change in 2 years is 8%.