Question

the price of an item is increased by 20 % .how much percent will the price be decreased now to restore the old price​

Answer 1

let the price of an item be x

20/100×x+x

we have to decrease 20%

to attain the actual price back

Answer 2

16.66% of price will be decreased to restore the old price.

Step-by-step explanation:

If the price of an item is increased by r%, then percentage of price will be decreased to restore the old price is,

$(\frac{r}{r+100}\times 100)$ %

Here, r = 20 %

Price will be decreased to restore the old price is,

$(\frac{20}{20+100}\times 100)$ %

= $(\frac{20}{120}\times 100)$ %

= $\frac{50}{3}$ %

= 16.66%

Hence, 16.66% of price will be decreased to restore the old price.