The number was increased by 50% and then decreased by 50%. How did the number change?

1. Let’s calculate how many percent the number will be if it is increased by 50 percent:

100 + 50 = 150%.

2. Let the number have what value, for example, expressed by the letter A, it is 100 percent. Let’s calculate using the method of proportions what this number will be when it is equal to 150 percent of the original value:

100% – A;

150% – H.

Where from:

X = A x 150/100;

X = 1.5 x A.

3. Let’s find how many percent the number will be if we reduce it by 50 percent:

100 – 50 = 50%.

4. Let’s calculate, similarly to the previous example, what this number will be after we reduce it by 50%. Now 100% of the number is 1.5 x A:

100% – 1.5 x A;

50% – W.

Where from:

Y = (1.5 x A x 50) / 100;

Y = 0.75 x A.

5. Now let’s actually calculate how much the number has decreased:

A – 0.75 x A = 0.25 x A.

Answer: The number has decreased by 0.25 of its original value.