How To Find Percentage Loss

To find percentage loss, the same steps for finding percentage decrease is followed.

In this lesson, you will learn the step-by-step method for finding percentage loss by calculating the AMOUNT LOST first and then simplifying to your answer.

BONUS: A link to practice questions on percentages is included at the end of this lesson.

Formula for finding percentage loss

The formula for finding percentage loss is LOSS over ORIGINAL AMOUNT times 100 over 1

\frac{Loss}{Original Amount} × \frac{100}{1}

Steps To Finding Percentage Loss

Let’s take a question on percentage loss:

QUESTION:

Find the percentage loss if an article bought for #500 is sold for #450.

STEP 1.

Find the loss FIRST

FORMULA:

Decrease = Original Amount – New Amount

= 500 – 450

= #50

STEP 2.

List the values in the question

Percentage: unknown

Original amount: #500

Loss: #50

STEP 3.

Transfer the values into the formula

\frac{50}{500} × \frac{100}{1}

STEP 4.

Start simplifying

Use the steps in the multiplication of fractions to simply to your answer.

  • Zeros cancel zeros
\frac{50}{5} × \frac{1}{1}
  • Multiply horizontally
\frac{50}{5}
  • Divide by the denominator
\frac{50}{5} = 10

FINAL ANSWER:

Find the percentage loss if an article bought for #500 is sold for #450.

ANS = 10%

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Click the button to practice questions on percentages.

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