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Math Help - Percentage

  1. #1
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    Percentage

    Please help. The question reads...The refrigerator was repaired for $176. If GST is 10%, how much was GST? Is the answer $17.60 or $16. Can some one please tell me which answer is right and why the other answer is wrong. GST is a Tax added on to the purchase price. If $17.60 is right wouldnt the repair then cost $193.60?
    Last edited by not happy jan; June 27th 2008 at 03:21 AM.
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  2. #2
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    Quote Originally Posted by not happy jan View Post
    Please help. The question reads...The refrigerator was repaired for $176. If GST is 10%, how much was GST? Is the answer $17.60 or $16. Can some one please tell me which answer is right and why the other answer is wrong
    I don't know what GST is but I assume they are asking to find 10% of $ 176.

    A percentage is always out of 100 hence you can multiply through in that format:

    \frac{10}{100} \times 176 = 17.6

    When asked to calculate percentage, you can also change it to decimal and multiply through.

    0.1 \times 176 = 17.6


    The answer is $ 17.60.
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  3. #3
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    Quote Originally Posted by not happy jan View Post
    Please help. The question reads...The refrigerator was repaired for $176. If GST is 10%, how much was GST? Is the answer $17.60 or $16. Can some one please tell me which answer is right and why the other answer is wrong. GST is a Tax added on to the purchase price. If $17.60 is right wouldnt the repair then cost $193.60?
    Ok, so you have edited the question. It is asking for the value before tax of 10% is added.

    $176 is the total after tax is added hence as a percentage value it is 110% which is 1.1 as a decimal number. To get the value before tax, we need to find the 100% value hence we cross multiply.

    \frac{176 \times 1}{1.1} = 160

    Therefore the value before tax is added is $160.
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