The selling price of a laptop is $2675. A student can buy this laptop at a discounted price of $2140. Calculate the percentage discount given for student price. Answer ... % The student price of $2140 is inclusive of 7% Goods and Services Tax (GST).
Calculate the student price of the laptop before GST. Answer ... A student decides to buy this laptop on hire purchase.
The cash price of the laptop is $2140.
The student pays a deposit of 10% of the cash price and makes 36 equal monthly payments.
At the end of the 36 months, the total hire purchase price of the laptop is $2500.
Calculate the amount of monthly payment. Answer $ ...

1. Find the discount amount from the original selling price and student price.

Discount $= 2675 - 2140 = 535$

2. Express the discount as a percentage of the original selling price.

Percentage discount
$= \frac{535}{2675}\times 100\% = 20\%$

1. Recognise the inclusive price as 107% of the price before GST.

Since the price includes $7\%$ GST,
$\text{inclusive price}=100\%+7\%=107\%$
So $2140 is $107\%$ of the price before GST.

2. Find the price before GST by reversing the 7% increase.

$\text{Price before GST}=2140\div 1.07=2000$

1. Calculate the deposit paid as 10% of the cash price.

Deposit $=10\%\times 2140$

$=0.10\times 2140$

$=\char36{}214$

2. Find the total amount to be paid through the 36 monthly payments.

Amount paid by monthly payments

$=2500-214$

$=\char36{}2286$

3. Divide the remaining amount equally by 36 to find each monthly payment.

Monthly payment $=2286\div 36$

$=\char36{}63.50$