Jenny earns $5625 each month.
She pays 8% of this amount into her pension.
She pays 5% of the remainder into a savings account.
Calculate the amount she has left after paying into her pension and her savings account. Answer $ ... The cash price of a bed is 900.Jennybuysthisbedoncredit.Shepaysadepositofonefifthofthecashprice.Shethenpays12monthlypaymentsof900. Jenny buys this bed on credit. She pays a deposit of one fifth of the cash price. She then pays 12 monthly payments of 64. Calculate the total amount Jenny pays for the bed. Answer $ ... Jenny pays monthly rent of $2064.
This is 7.5% more than her monthly rent last year.
Calculate her monthly rent last year. Answer $ ... Jenny spends €230 in Paris using her credit card. The credit card company converts the amount to Singapore dollars.
She is charged a 1.6% fee for the currency conversion.
The exchange rate between Singapore dollars ($) and euros (€) is $1 = €0.65.
Calculate the total amount on Jenny’s credit card bill, including the fee.
Give your answer in dollars, correct to the nearest cent.
Answer $ ...

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Worked solution

2(a)

1. Calculate the amount paid into the pension.

Pension payment:

8% of 5625=8100×5625=4508\% \text{ of } 5625 = \frac{8}{100}\times 5625 = 450

So Jenny pays $450 into her pension.

2. Find the remainder after the pension payment.

Remainder after pension:

5625−450=51755625 - 450 = 5175

3. Calculate 5% of the remainder and subtract it.

Savings payment:

5% of 5175=5100×5175=258.755\% \text{ of } 5175 = \frac{5}{100}\times 5175 = 258.75

Amount left:

5175−258.75=4916.255175 - 258.75 = 4916.25

Answer

$4910.625

2(b)

1. Calculate the deposit paid.

Deposit =15×900=180= \dfrac{1}{5} \times 900 = 180

2. Calculate the total paid including the monthly payments.

Total monthly payments =12×64=768= 12 \times 64 = 768

Total amount paid =180+768=948= 180 + 768 = 948

Answer

$948

2(c)

1. Represent the current rent as a percentage of last year's rent.

Since $2064 is 7.5%7.5\% more than last year's rent,

current rent=100%+7.5%=107.5% of last year’s rent.\text{current rent} = 100\% + 7.5\% = 107.5\%\text{ of last year's rent}.

2. Calculate last year's monthly rent.

last year’s rent=2064÷1.075\text{last year's rent} = 2064 \div 1.075

=1920= 1920

Answer

$1920

2(d)

1. Convert €230 to Singapore dollars.

Since $1 = €0.65,

€230=$(230÷0.65)€230 = \$\left(230 \div 0.65\right)

=$353.8461538…= \$353.8461538\ldots

2. Add the 1.6% currency conversion fee.

Total amount including the fee

=353.8461538…×101.6%= 353.8461538\ldots \times 101.6\%

=353.8461538…×1.016= 353.8461538\ldots \times 1.016

=359.5076923…= 359.5076923\ldots

3. Round the total bill to the nearest cent.

359.5076923…≈359.51359.5076923\ldots \approx 359.51

So the total amount on Jenny’s credit card bill is $359.51.

Answer

$359.20

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