The price of an item is increased by 20% and then decreased by 20% .

The price of an item is increased by 20% and then decreased by 20% .
Posted on 17-12-2022

Ques - The price of an item is increased by 20% and then decreased by 20% . The final price as compared to the original price :

(a) 4% more

(b) 20% less

(c) 20% more

(d) 4% less

Solution -

Let,

The Original price = 100

increased in price = 20%

New price = [100 + (20/100) × 100]

                  = 120

Now,

Decreased in price = 20%

New price = [120 + (20/100) × 120]

               = 120 - 24

               = 96

Therefore, 

Final price = 96

Original price = 100

Difference b/w final price and original price = 96 - 100

 = - 4

Hence,

The final price as compared to the original price is 4% less.

Thank You