Exam 3: Ratios and Proportions

The price of a box of chalk has increased from $.89 to $1.39 over a ten-year period. What index number would represent the change in price over the ten-year period?

How much will it cost in Canadian dollars to purchase 2,000 pesos in Mexican currency at a bank that charges a 3.5% commission on the transaction? Use an exchange rate of C$1.00 = Mexican peso 12.33.

On May 3, Mary Ann bought a 2-year membership in a fitness club for $495, on a special promotion. Cancellation is allowed at any time. A prorated refund will be paid based upon the number of days remaining in the membership period. If she cancelled the membership on the following September 9, what refund should she receive? (Count both May 3 and September 9 as days used.)

Solve the following proportion for the unknown quantities: 625: f: 500 = g: 3: 4

Total overhead of $235,000 is allocated according to the proportion of labour hours. Department A used 1830 hours, department B used 1635 hours, and department C used 1760 hours. What amount of overhead should be allocated to department C?

Solve the following proportion for the unknown quantity: 1.56: h = 56.2: 31.7, to three decimal places.

Given the proportion of 1.3 : 2.8 : 1.6 = t : u : 0.68, the value of t and u is 0.5525 and 1.19 respectively

The current exchange rates show that C$1.00 = €0.7448. If you have $1,000 Canadian dollars to exchange and the currency exchange charges 4% on all transactions, how many euros will you be able to buy?

Suppose C$1.00 is equivalent to US$0.9672. What $C amount would it cost to purchase US$1565? (Ignore any commission.)

If the C$ appreciates (from the value C$1.5698 = £1.00) by C$0.0017 relative to the £, what will be the new value for £ per C$1.00?

If the C$ strengthens by 1.2% relative to the US$ value, C$1.00 = US$0.9672, what will be the new values for US$ per C$1.00 and C$ per US$1.00?

In one year, the CPI increased from 105.6 to 106.7. In order to have the same purchasing power as $100 at the start of the year, you would need $103.14 at the end of the year.

Express the following ratio in its lowest terms: 11.7: 7.8: 3.9

Express the following ratio in its lowest terms: $1 \frac{1}{4}: 1 \frac{2}{3}$

Don, Bob, and Ron Maloney's partnership interests in Maloney Bros. Contracting are in the ratio of their capital contributions of $78,000, $52,000, and $65,000, respectively. What is the ratio of Bob's to Ron's to Don's partnership interest?

On March 21, Samantha purchased 500 shares of Microsoft at a price of US$19.09 at a time when the exchange rate was C$1.02843 per US Dollar. On August 27, Samantha sells all the shares at a price of US$22.10 at a time when the exchange rate was C$1.03133. Her profit in Canadian Dollars was C$1,579.83.

Based on the exchange rates in the above table, how many fewer Canadian dollars will you receive if you convert US$165 at the airport currency exchange kiosk instead of at the Royal Bank? On any currency exchange transaction, the airport currency exchange kiosk applies a C$3.50 service charge. Refer To: 03-02

Express the following ratio in its lowest terms: $\frac{1}{15}: \frac{1}{5}: \frac{1}{10}$

Express the following ratio in its lowest terms: 0.18: 0.60: 0.45

Sally earns $25 per hour today. Seven years ago she earned $20.75 per hour. During the seven-year period the CPI rose from 136.5 to 158.2. Has Sally's buying power increased or decreased and by how much in current year's dollars?