if the side of square is increased by 30% then its area is increased by
Answers
For such questions, we use a simple trick. We may assume the given fact in terms of 100, or simply 10, if can.
Here the side of a square is increased by 30%. Here we can assume the side of the square as 100 units. Or to get much more simpler, we can assume the side as 10 units. In this case it can be.
Okay, we're assuming a square of side 10 units.
Increasing the side by 30% means here to increase the side of length 10 units by '3' units.
Because 30% of 10 is 3, isn't it?
Hence the side of the new square will be 13 units.
Now, what about the area of the older square? It's 10 × 10 = 100 unit².
What about the area of the newer square? It's 13 × 13 = 169 unit².
Here the area is increased by 69 units. Now we have to find how much percent of 100 is 69.
Since the base number is 100 here, we can directly write the part number (number which has to be found how much percent of the base number it is. Here it's 69) as the percent.
Because,
1% of 100 is 1,
2% of 100 is 2,
5% of 100 is 5,
26% of 100 is 26,
267% of 100 is 267,
n% of 100 is n.
Hence the percentage is 69%.