1. The list price of a car is $98 800.

a. If a discount of 12% is given for each payment, find the cash price of the car.

b. Jack chooses to buy by hire purchase over 12 months and is given a discount of 10%. Calculate his monthly instalment.

2.

Mr Lum sells a television set for $918 and thereby makes a profit of 35% on his

cost price. The manufacturer who sold the set to Mr Lum made a profit of 36% on his cost price. Find the cost of manufacture.

3. A man spends 10% of his monthly income on rent, 15% on food, 12% on clothes,

8% on income tax, 21% on other expenses and saves the rest. Given that he saves $1292 a month, find his monthly income.

4.

Simon sells two grades of coffee, grade A and grade B. He makes 10% profit on the cost price of grade A coffee and 15% profit on the cost price of the grade B coffee. The ratio of the cost prices of grade A coffee to grade B coffee is 3:2.

(a) If the grade A coffee sells at $33 per kg, find

(i) the cost price per kg of the grade A coffee,

(ii) the cost price per kg of the grade B coffee,

(iii) the selling price per kg of the grade B coffee.

(b) He also mixes two grades of coffee. The mixture contains 44% of grade A coffee

by weight.

(i) Calculate the weight of grade B coffee which must be mixed with 84 kg of grade A coffee to produce a quantity of the mixture.

(ii) Find the cost price per kg of the mixture.(iii) If the mixture sells at $29.89 per kg, find the percentage profit he makes on the cost price of the mixture.

5. Mr Kwan bought 80 bicycles at $120 each. He marked the price of each bicycle 50% above the cost price. To attract customers, he offered a discount of 15% off the marked price.

(a) John bought a bicycle from Mr Kwan.

(i) How much did John pay for the bicycle?

(ii) How much did John pay for the GST if 3% GST was collected from him?

(b) After selling 60 bicycles at the discounted price, Mr Kwan gave a further 10% off the discounted price to clear the remaining stocks. John’s friend, Peter, bought

one of the remaining 20 bicycles. How much did Peter pay for the bicycle excluding GST? [2]

(c) Calculate Mr Kwan’s total percentage profit from selling 80 bicycles.

6.

a. (a) Find 19% of 1.8 kilometres, giving your answer in metres.

(b) The marked price of a watch is $78.50.

(i) In a sale, a discount of 8% is allowed on all articles. Calculate the sale price of the watch.

(ii) Given that the marked price of $78.50 gave the shopkeeper 25% profit on his cost price, find the shopkeeper’s cost price.

7. A manufacturer knows that 6% of the light bulbs he makes are defective. Find the number of bulbs he must produce in order to obtain 611 light bulbs which are not defective.

The manufacturing cost for the light bulbs is $586.56. If he sells the non-defective light bulbs at a profit of 25%, find the selling price of each light bulb