Wondering how to calculate Percentage Decrease then this is the article for you. We have curated the Formula to Calculate Percentage Decrease, Procedure to find % Decrease manually by hand in detail. Check out the Solved Examples for a better understanding of the concept. You can solve various questions regarding the concept and apply the concept in your day to day life.
Percentage Decrease Formula
The Formula to Calculate Percentage Decrease is given as under
Percentage Decrease = (Decreased Value/Original Value)*100
Decreased Value = Original Value – New Value
% Decrease = ((Original Value – New Value)/Original Value)*100
Have a look at the Percentage Decrease Example Questions provided below to get a grip on the concept.
How to Calculate the Percentage Decrease?
Go through the below-listed guidelines to find the Percentage Decrease. They are as such
- Firstly find the Decreased Value i.e. Original Value – New Value.
- Divide it with the Original Value.
- Multiply the fraction with 100 and place a % sign at the end.
Example Questions on Percentage Decrease
1. Price of Sugar Decreases from $9 to $7.5 per Kg? What is the Percentage Decrease in the Price of Sugar?
Solution:
Original Price of the Sugar = $9
New Price of the Sugar = $7.5
Decreased Price of Sugar = $9- $7.5
= $1.5
Percentage Decrease = (Decreased Value/Original Value)*100
= ($1.5/$9)*100
= 16.66 %
Therefore, the Percentage Decrease in the Price of Sugar is 16.66%.
2. A shopkeeper sells a pair of pens for Rs. 30 initially. He then reduced the price of the pair of pens to Rs. 24. Calculate the Percentage Decrease in the cost of pens?
Solution:
Original Cost of Pair of Pens = Rs. 30
New Cost of Pair of Pens = Rs. 24
Decreased Value = Original Cost – New Cost
= Rs. 30 – Rs. 24
= Rs. 6
Percentage Decrease = (Decreased Value/Original Value)*100
= (6/30)*100
= 20%
Therefore, Percentage Decrease in the cost of pens is 20%.
3. Find the Decreased Value if 400 decreased by 25%?
Solution:
New Value 25%(400)
= 25/100*400
= 100
Decreased Value = Original Value – New Value
= 400 – 100
= 300
4. A fruit seller used to sell bananas for Rs. 30 per dozen. Later, he reduced the cost of a dozen bananas by 15%. Find the price of a dozen bananas now?
Solution:
New Prize = 15% of 30
= 15/100*30
= 450/100
= 4.5
Decreased Value = Original Price – New Prize
= 30- 4.5
= 25.5
Fruit Seller sells bananas Rs. 25.5/- a Dozen.
5. The membership card of a club cost was reduced by 10% and costs Rs. 450 now. What was the original price of the membership card before its cost is reduced?
Solution:
New Value = 10% of 450
= 10/100*450
= 45
Membership Card of a Club Cost initially = Reduced Price + Cost of Membership Card of Club after Reducing
= 45+ 450
= 495
The original Price of a membership card of the club is Rs. 495.