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Percentages

  1. Desmond's maths exam is next week. As part of his revision he attempted 31 questions on his least favourite topic of percentages. He got 21 questions right on the first attempt. Two days later he tried all 31 questions again and this time got 29 correct.
    1. What percentage of questions did he get correct on his first attempt?
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    2. What percentage of questions did he get correct on his second attempt?
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    3. What is the percentage increase in the number of questions Desmond got right?
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  2. I wish to invest £1000 for a period of three years and have decided to place my money with the Highrise Building Society on 1 January.

    If I choose to use the Gold Account I will withdraw the interest at the end of each year.

    If I choose to use the Silver Account I will leave the interest to be added to the capital at the end of each year.

    1. Calculate the total interest I will receive if I use the Gold Account.
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    2. Calculate the total interest I will receive if I use the Silver Account.
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      After some thought I decide to use the Gold Account and leave the interest to be added to the capital at the end of each year.
    3. Calculate the total interest I will now receive from the Gold Account.
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  3. Highrise Building Society Gold Account Silver Account 7.875% p.a 7.00% p.a If L = MN, what is the percentage increase in L if M increases by 15% and N increases by 20%?
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  4. An electrical shop buys a stereo from a wholesaler for fx and increases its price by 35% to make a profit. When the stereo doesn't sell, the shop reduces its price by 20%. If the stereo now sells, calculate the shop's overall percentage profit.
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  5. A couple bought their house 2 years ago for fy. In the first year, house prices in their area rose by 10%. In the second year, house prices in their area fell by 5%. Calculate the percentage profit they would make if they sold their house now.
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    Ooh... here's the 3rd type — finding the original value. The bit most people get wrong is deciding whether the value given represents more or less than 100% of the original — so always check your answer makes sense.
  6. In the new year sales Robin bought a tennis racket for £68.00. The original price had been reduced by 15%. What was the original price?
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  7. There are 360 people living in a certain village. The population of the village has grown by 20% over the past year.
    1. How many people lived in the village one year ago?
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    2. If the village continues to grow at the same rate, how many whole years from today will it be before the population is more than twice its current size?
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