Study MaterialsCBSE NotesPercentage Decrease Calculator | Calculating Percentage Change

Percentage Decrease Calculator | Calculating Percentage Change

 

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    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.

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