Percentages, Algebra and use of
Calculators
Question 1
Last year Tina received an income of $39 800, which was based on a retainer plus a
commission of 4.5% on all sales. If her sales were $290 500 what was her weekly
retainer?
Question 2
Use your calculator to answer the following (where necessary round off to 3 decimal
places)
(a) 
(b) log58.3
(c) 26 - 1.5% of 290 + 32
(d) 
Question 3
A computer has a lost price of $3 260, but it is sold for $3 097. What is the
discount rate offered?
Question 4
What is the net price of an air conditioner which was listed at $1855 and was subject to a
discount series of 10%, 5% and 3.5%?
Question 5
The table below shows the Income Tax Rates in Australia for the year ending June, 1998
| TAXABLE INCOME ($) |
TAX PAYABLE |
MARGINAL RATE (% on excess) |
| 5400 |
nil |
20 |
| 20700 |
3060 |
34 |
| 38000 |
8942 |
43 |
| 50000 |
14102 |
47 |
Find the tax payable on a taxable income of %29 530 in the year 1997/98
Question 6
A box of Grange Wines has a wholesale price of $2 580. Sales tax on wines is 26%.
Calculate the retail price that would give the dealer a profit of $600.
