A number is first increased by 20% and then reduced by 15%. If the final value is 2040, then what is the initial value of the number?

2100 1800 2000 1900

2000

Let the actual number =  100x Net change = + 20 - 15 - \(\frac{20× 15 }{100}\)  = 2% So , New number = 100x × \(\frac{102}{100}\) = 102x 102x = 2040 (given) 1x = 20 Initial value of the number = 100x = 2000