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Find the number which when increased by 30% becomes 39.

1 Answer

2 votes

Answer:

x = 30

Explanation:

An increase of 30% can be thought of as taking 30% of the number and adding that value to the original number.


For example an increase in 20% of the number 100 is calculated by taking 20% which is 20, and then adding that to 100. So an increase in 20% is equal to 120. If we want to represent this as a single fraction or percentage, we can write it as 120% or 120/100. We get this percentage by adding 100% to our original increase in percentage value.

So in this problem, we can write an increase of 30% as 130%.

Now an increase of 130% in some number x is equal to 39.

So 130% of x = 39

130/100 * x = 39

x = 39 * 100/130

x = 3900/130 = 390/13 = 30

x = 30

Hope this helps :)

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User Matty J
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