# A number increased from 120 to 150. By what percent, of its original value, did this number increase?

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The number is increased from 120 to 150. The numeric increase in the number is 150 - 120 = 30.

In terms of the original number this is 30/120 = 1/4

In terms of the percentage of the original number it is 25%.

**The required increases in the number from 120 to 150 is 25% of the original number.**

We need to find the increased percent from 120 to 150.

First we need to find the difference between the numbers.

==> 150 - 120 = 30

Now we will find the ration between the difference and the original number which is 120.

==> 30 /120 = 1/4 = 0.25

Now we will multiply by 100&

==> 0.25 = 0.25*100 % = 25%

**Then the increased percent is 25% from the original number.**

**25% increase**

if the first number is smaller than the last number it is an increase and vice versa

150 - 120= 30

30/120=.25

.25=25%

to check just- 120+(120 x .25)=150

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