Original Price

[Guest]

Current price of an item is $46.34. Percent change is 190.53%. Determine original price.

Check my calculations :

Original Price = Current price / ( 1 + % change)

x = original price

x = 46.34 / (1 + 190.53%) / 100

x = 46.34 / 2.9053

x = $22.11

Where am I correct ?

[Guest]

Please reply, Thanks.

[Guest]

Please answer, Thanks.

[Baltuilhe]

[tex]\frac{46,34}{2,9053}\approx 15,95[/tex]

Check your math!

[Guest]

Ok, Thanks. Got it !

[Poeth1952]

Ah, I see where the confusion came from. Basically, the item’s price went up by almost double 190% more than the original. So the current price of 46.34 isn’t just a bit higher, it’s nearly three times what it started at. To figure out the original price, you just need to think of the current price as “original plus almost twice that amount.” When you work it out that way, the original price ends up around $15.95, not $22.11. The $22 mistake happened because the percent increase was treated a bit incorrectly you can’t divide by 100 again once you’ve already converted the percent to a decimal.

[Guest]

Ok, Thanks.