Sophie earns a monthly salary of $6875. She gives 15% of this amount to her parents. She puts 35% of the remainder into a savings account. Calculate the amount she has left after giving to her parents and putting into her savings account. Leave your answer correct to the nearest dollar. Answer $ ... The cash price of a sofa is $830. Sophie buys this sofa on credit. She pays a deposit of one quarter of the cash price. She then pays 3 monthly payments of $260. Calculate the total amount Sophie pays for the sofa. Answer $ ... Sophie pays a monthly rent of $3174.20. This is 18% more than her monthly rent last year. Calculate her monthly rent last year. Answer $ ... During her vacation, Sophie visits her friend in Wellington. Sophie spends NZD 940 in New Zealand using her credit card. She is charged a 2.6% fee for the currency conversion. The exchange rate between Singapore dollars (SGD) and New Zealand dollars (NZD) is SGD 100 = NZD 120.7206. Calculate the total amount on Sophie's credit card bill, including the fee. Give your answer in Singapore dollars, correct to the nearest cent. Answer SGD ...

1. Find the amount remaining after Sophie gives 15% of her salary to her parents.

Amount remaining after giving 15%:
$6875 \times 85\% = 6875 \times 0.85 = 5843.75$

2. Find the amount left after putting 35% of the remainder into savings.

She keeps $100\% - 35\% = 65\%$ of the remainder.
$5843.75 \times 65\% = 5843.75 \times 0.65 = 3798.4375$

3. Round the final amount to the nearest dollar.

$3798.4375 \approx 3798$
So the amount left is $3798 to the nearest dollar.

1. Calculate the deposit paid.

Deposit $= \dfrac{1}{4} \times 830 = 207.50$

2. Add the deposit and the 3 monthly payments.

Total paid $= 207.50 + 3 \times 260$

$= 207.50 + 780$

$= 987.50$

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

Since the current rent is $18\%$ more than last year's rent,
$100\%+18\%=118\%$
So $3174.20 is $118\%$ of last year's rent.

2. Divide by the multiplier to find last year's monthly rent.

Last year's rent
$=3174.20\div 1.18$
$=2690$

1. Convert NZD 940 to Singapore dollars using the exchange rate.

Since SGD $100$ = NZD $120.7206$,

$\text{SGD amount}=940\times \frac{100}{120.7206}$

$=778.657\ldots$

2. Include the 2.6% currency conversion fee.

A $2.6\%$ fee means the total is $102.6\%$ of the converted amount.

$\text{Total bill}=778.657\ldots \times 1.026$

$=798.902\ldots$

3. Round the total amount to the nearest cent.

$798.902\ldots \approx 798.90$

So the total amount on the credit card bill is SGD $798.90$.