# What will be the Original Number? If

A number is first decreased by 20 %. The decreased number is then increased by 20 %. The resulting number is less than the original number by 20. Then the original number is

- 200
- 400
- 500
- 600

**Answer: (3) 500**

**Explanation:-**

Let be the original number is X

According to the question,

X – X x 20/100 = X – X/5

= 4X/5

Again, 20% increase then, value of the number

4X/5 + 4X x 20/5 x 100 = 4X/5 + 4X/25

= 24X/25

Resulting number is less than the original number by 20.

Then, 24X/25 = X – 20

X – 24X/25 = 20

X = 25 x 20

X = 500

Hence, the answer is (3) 500.