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13 Cards in this Set
- Front
- Back
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To change percentage to a fraction |
1. Put the number over 100 as a fraction
2. Simplify the fraction example: 50% = 50/100 = 25/50 |
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To change a percentage into a decimal
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1. divide the number by 100 for a percentage is always out of 100. move the decimal point 2 places to the left because their is 2 zeros
example: 43% = 0.43 |
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To change a fraction or decimal to a percentage
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multiply by 100
example: 0.43 = 43% or 10/100 x 100 = 10% |
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Finding a percentage of a quantityTo find a percentage
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1. change the percentage to a fraction
2. multiply buy quantity example: (how much do u save) a. 35% of 100 =20/100 x100 =20 |
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expressing amounts as percentages
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1. write the amount as a fraction out of the whole amount
2. multiply by 100% example: what percentage is 93 of 100 = 93/100 x 100 = 93% |
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Increasing percentages
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1. add 100 to the percentage
2. multiply the quantity by the new percentage example: increase 200 dollars by 7% 100+7=107 107 x 200 107/100 x 200 = 214 |
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Deacreasing Percentages |
1. minus the percentage from 100
2. multiply the quantity by the new percentage example: Decrease $150 by 12% 100 - 12% = 88% 150 x 88% = $132 |
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Unitary Method
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if you are given a percentage of an amount to find the whole amount
1. Find 1% by dividing the given percentage to the number 2.multiply by 100 to find the whole amount example: a.If 15% of the number of year 8 students in 18 how many students are their in the whole year? 15% = 18 students 1% = 18 ÷ 15 = 1.2 100% = 1.2 x 100 + 120 |
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Profit and loss
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Profit= selling price - cost price
percentage profit = profit / cost price x 100% loss= cost price - selling price percentage loss = loss /cost x 100c ost price : how much you buy your goods for selling price: how much you sell your goods for profit = selling price - cost price greater than 0 ( positive ) loss = selling price - cost price less than 0 ( negative) |
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Examples of profit and loss |
1.find the profit of loss for the following:
a. a bike is bought for $120 and sold for $70 = loss of - 40 2.Find the percentage profit or loss for the following cost price $200, selling price is $140 = 60/200 x 100 = loss of 30% |
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Examples of profit and loss |
3.find the selling price if: the cost price is $15 and the profit is 10%
profit = 10/100 x 15 =$1.50 selling price = 15 + 1.50 = $16.50 |
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GST ( goods and services tax ) |
The GST tax is paid to the government on most goods (products) and services that we pay for in Australia, GST is charged 10% of the original price and is included in the original price of goods and services.
example: the selling price of a TV is $722 = GST calculate the GST payable 10% of 122=1/10 x 722 =72.2 (GST) |
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Applying Percentages
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1. in a box of 15 mangoes , 20% of them are green. How many mangoes are there
20% of 15 =200/100 x 15 = 3 green mangoes 2. A PlC sports team wins 8 games out of 20 what percentage is this 8/20 x 100 = 40% 3. GST is paid on a handbag. find the price including tax of a handbag that costs $180 10/100 x 180 = 18 + 180 = $198 |
