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Repeated Percentage Change

Interactive practice questions

A dinner table selling for $\$1000$$1000 is discounted successively at $5%$5% and $6%$6%.

a

What is the price of the dinner table after the first discount?

b

What is the price of the dinner table after the second discount? Write your answer to the nearest cent.

c

What is the discounted sales price, if the discount is $5%+6%=11%$5%+6%=11%?

d

Is a single discount of $11%$11% equal to successive discounts of $5%$5% and $6%$6%?

Yes

A

No

B
e

We can combine successive discounts by multiplying the percentage changes together to determine the total discount rate.

Find the total discount rate, $x$x, of the successive discounts of $5%$5% and $6%$6%. Give your answer as a percentage to two decimal places.

Enter each line of working as an equation.

Easy
Approx 7 minutes

A PC originally sells at $4700.

After discounting, a clothes dryer sold for $\$855$$855. Calculate the original price, to the nearest cent, if the discount was:

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