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Given a student discount, calculate a discounted price.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

{pname} is buying a new {item}. The price of the model he picked is £{price}. On a website with discounts for students, he found a voucher for a discount of {percentage}%.

There are multiple methods to approach this problem. The first method involves working out the discounted price as a percentage of the original, while the second method calculates the value of the discount and subtracts that from the listed price.

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#### Method 1

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There is a {percentage}% decrease in price. This means that the new price will be {100-percentage}% of the old price.

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\\\begin{align} \\frac{\\var{100-percentage}}{100} \\times \\var{price} &= \\var{(100-percentage)/100*price} \\\\&= \\var{dpformat((100-percentage)/100*price, 2)}\\text{.} \\end{align}\

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Or, using the multiplier method,

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\\\begin{align} \\var{(100-percentage)/100} \\times \\var{price} &= \\var{(100-percentage)/100*price}\\\\&= \\var{dpformat((100-percentage)/100*price, 2)}\\text{.} \\end{align}\

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When we are talking about money, it is usually assumed that we will round the answer to 2 decimal places.

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#### Method 2

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We find the discount first. This is

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\$\\frac{\\var{percentage}}{100} \\times \\var{price} = \\var{(percentage)/100*price}\\text{.}\$

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Or using a decimal multiplier,

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\$\\var{(percentage)/100} \\times \\var{price} = \\var{(percentage)/100*price}\\text{.}\$

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Then we subtract the discount from the original price to get the new price:

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\$\\var{price} - \\var{dpformat(discount,2)} = \\var{dpformat(price - discount, 2)}\\text{.} \$

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A male name.

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Price of an item.

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The bought item.

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Discount percentage.

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What will the discounted price of the {item} be?

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Your answer does not make sense in real life, we cannot divide a penny any further. Shops always round their prices for items. That is why you should have rounded your answer to $\\var{precround((100-percentage)/100*price, 2)}$.