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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