How to find the decrease percentage?

It can easily be understood if it is expressed as per cent. We will follow the following steps to convert the decrease into per cent

**Step
I: **first find the decrease

**Step
II: **divide it by the original quantity

**Step
III: **multiply the fraction by 100%

Formula for finding the Decrease% is = Decrease in value/Original value × 100%

**Note:** decrease per cent is
calculated on the original value.

**For
example:**

The price of sugar decreases from $8 per kg to $6.40 per kg.

Decrease in price = $8 - $6.40 = $1.60

and decrease % = decrease in price/Original price × 100 %

= 1.60/8 × 100 %

= 160/8 %

= 20 %

We will apply the concept of solving some real-life problems by using the formula for finding the decrease percent.

Solved examples:

**1.** The cost of an article is decreased
by 15%. If the original cost is $80, find the decrease cost.

**Solution:**

Original cost = $80

Decrease in it = 15% of $80

= 15/100 × 80

= 1200/100

= $12

Therefore, decrease cost = $80 - $12 = $68

**2.** A television manufacturing company declares that a television is
now available for $5600 as against $8400 one year before. Find the percentage
reduction in the price of television offered by the company.

**Solution:
**

Price of the television a year before = $8400

Price of the television after a year = $5600

Decrease in price = $(8400 - 5600) = $2800

Therefore, decrease % = 2800/8400 × 100 % = 100/3 = 33 1/3%

**3.** Find the decrease value if 300 decreased by 30%

**Solution:**

Decrease 300 by 30%

= 30/100 × 300

= 90

Therefore, decrease value = 300 – 90 = 210

**4.** Find the number which when decreased by 12 % becomes 198.

**Solution:**

Let the number be m.

Decrease = 12 % of m

= 12/100 × m = 3m /25

Therefore, decrease number = m – 3m/25 = (25m – 3m)/25 = 22m/25

According to the question 22m/25 = 198

22m = 198 × 25

m = 4950/22

m = 225

**5.** A number 42 was misread as 24. Find the reading error in per cent.

**Solution:**

Error = 42 – 24 = 18

Therefore, % error = 18/42 = 100%;

[Since, we know decrease% = decrease in value/original value × 100 %]

= 300/7 %

= 42.8 %

Percentage of the given Quantity

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