3E

Percentage change, profit and loss

Calculating percentage change, profit and loss, and percentage profit or loss based on the cost price.

Percentage change

Percentage change
$$\frac{\text{change}}{\text{original amount}} \times 100\%$$
Example 1●

A rent rises from $\$400$ to $\$430$ a week. Find the percentage increase.

Change $= 30$.
$\dfrac{30}{400} \times 100\% = 7.5\%$

Profit and loss

Example 2●●

A phone bought for $\$650$ is sold for $\$520$. Find the percentage loss.

Loss $= 650 - 520 = 130$.
$\dfrac{130}{650} \times 100\% = 20\%$ loss.
Flashcards
Percentage change
change ÷ original × 100%
Profit
selling price − cost price
% profit is based on...
the cost price
Practice
  1. Rent rises from $\$400$ to $\$430$. Percentage increase? (number only)

  2. Bought for $\$650$, sold for $\$520$. Percentage loss? (number only)

  3. Bought for $\$80$, sold for $\$100$. Percentage profit? (number only)

  4. A price drops from $\$50$ to $\$30$. Percentage decrease? (number only)

  5. A shop buys a toy for $\$12$ and sells it for $\$27$. Find the profit in dollars.

  6. For that toy, find the percentage profit (number only).

  7. A height grows from $160$ cm to $168$ cm. Percentage increase? (number only)

  8. Percentage profit is calculated using:

More questions

New numbers every time. Keep going until you get five in a row.

Formula sheet