Percentage increase or decrease
Buisness calculations
Appreciation and deprciation
Simple interest
Compound interest
100
What is the multiplier for an increase of 10%?
1.1
100
Bob bought a teddy bear for $60, and sold at a 24% profit. Find the selling price of the bear.
$60x(1+24%)
=$60x1.24
=$74.4
100
Two years ago, a painting was valued at $17 000. Over the next two years, it aprreciated by 8% and 5%. Find the present value of the painting.
$17 000x(1+8%)x(1+5%)
=$17 000x1.08x1.05
=$19278
100
Find the simple interest payable on an investment of $17000 at 9.7% p.a. for 5 years
$17000x9.7%x5
=$17000x.097x5
=$82450
100
Cassie $6000 at 3% p.a. compound interest, find the value of the investment in 4 years. (round it to one decimal place)
$6000x(1+3%)4
=$6000x1.034
=$6753.1
200
What is the multiplier for a 34% decrease?
0.66
200
Find the selling price of a shirt marked at $280, which is discounted by 21%.
$280x(1-21%)
=$280x0.079
=$22.12
200
Three years ago, an antique clock was valued for $8000. Over the next three years it depreciated by 10%, 8% and 5%. Find the value of the clock after three years.
$8000x(1-10%)x(1-8%)x(1-5%)
=$8000x0.9x0.92x0.95
=$6292.8
200
Find the simple interest payable on a loan of $89200 at 5.8% p.a. over 30 months
$89200x5.8%X2.5
=$89200X0.058X2.5
=12934
200
How much compound interest is earned by investing $27000 for 5 years at 7.3% p.a.? (round to the nearest hundredth)
$27000x(1+7.3%)5
=$27000x1.0735
=$38402.754
300
Percentage change corresponding to the multiplier 0.78
22% decrease
300
A necklace was bought for $188, then sold it for $300, find the percentage profit. (round the number to two decimal places)
$300-$188/$188 x 100%
=$112/$188 x 100%
=$59.60
300
Olivia bought a car for $150 000. Over the next four years, it depreciated by 15%, 5%, 10%, but on the last year it appreciated by 25%. Find the value of the car after four years. (round to a whole number)
$150 000x(1-15%)x(1-5%)x(1-10%)x(1+25%)
=$15000x0.85x0.95x0.9x1.25
=$13627
300
Cauculate the amount that borrowed if $56000 is borrowed for 8 months at 7.2% p.a. simple interest
$56000x7.2%x4/12
=$5600x0.072x4/12
=$134.4
300
Malva borrows $2688 for 2 years at 5% p.a. compound interest.
a)find the total amount Malva must repay after two years.
b)in total, how much interest will Malva be charged
a)$2688x(1+5%)2
=$2688x1.052
=$2963.52
b)$2963.52-2688
=$275.52
400
Find the percentage change occurs when 2400 reduce to 1288
2400-1288/2400 x 100%
=1122/2400 x 100%
=46.75%
400
A stationary store bought a box of pens for 60 dollars. marks it up by 10%, then sells it with a 25% discount, find the selling price.
$60x(1+10%)x(1-25%)
=$60x1.1x0.75
=$49.5
400
Jamie bought a figure for $1590, over the next 5 years, it appreciated by 8%, depreciated by 6%, depreciated by 3%, appreciated by 4%, appreciated by 5%, find the value of the figure now. (round to the nearest tenth)
$1590x(1+8%)x(1-6%)x(1-3%)x(1+4%)x(1+5%)
=$1590x1.08x0.94x0.97x1.04x1.05
=$1644
400
A figure set of four is cost $12000 Mary can only afford to pay $5600, then she has to borrow the remainder at 14% p.a. simple interest over a year. What are her equal monthly repayments? (round it to the nearest tenth)
($12000-$5600)x14%÷12
=$6400x0.14÷12
=$75
400
Phoebe invests $3000 in an account which offers 7% p.a. compound interest for the first year, and then 2.5% compound interest for each subsequent year
a)find the value of the inventestment after 3 years
(round to the nearest hundredth)
b)would Phobe have been better off investing in an account which paid a constant compound interest rate of 8.8% p.a. (round to the nearest tenth)
a)$3000x(1+7%)x(1+2.5%)2
=$3000x1.07x1.0252
=$3372.51
b)$3000x(1+8.8%)3
=$3000x1.0883
=$3863.7
yes.
500
In a supermarket, 10 pieces of chesse cost $80. Given that 5 pieces of cheese are 15% cheaper, find the cost of 8 pieces.
80÷10x5x(1-15%)+80÷10x3
=40x0.85+24
=34+24
=58
500
A fridge is sold for 650 dollars plus 12% GST
a. find the selling price
b.how much is the GST
a.$650x(1+12%)
=$650x1.12
=$728
b.$728-$650
=$78
500
Kyra and Maya each bought a emerald necklace for $40000. Kyra's depreciated 24% per year, and Maya's necklace depreciated 12% per year. Find the difference between the values of the necklaces after 2 years.
$4000x(1-24%)
=$$4000x0.76
=$3040
$4000x(1-12%)
=$4000x0.88
=$3520
3520-3040
=480
500
Regene took out a loan at 9% p.a. simple interest for 8 years. He paid a total amount of $7900 interest on the loan.
a)how much money did he borrow (round it to the nearest tenth)
b)find his monthly equal repayments (round to two decimal places)
a)$7900÷8÷9%
=$7900÷8÷0.09
=$1097
b)$1097÷12÷8
=$11.43
b)$3500÷12
=$291.67
500
Candice invests a sum of money at 4.5%p.a. compound interest. After 4 years she withdraws $6400, and she deposits the remaining balance into an account earning 6.4% p.a. compound interest. After 3 more years, there is $2488 in the account. How much did she initially invest?
