Exam 3: Ratios and Proportions

The price of a 40-ounce bottle of rum at a U.S. border duty-free store was US$19.95. At the same time, the price of a 750-mL bottle of similar quality rum in an Ontario liquor store was C$22.95. Using the Ontario price as the base, what is the percent saving (on the unit price) by buying rum at the duty-free store? (1 litre = 35.2 fluid ounces)

If C$1.00 rises from ¥87.94 to ¥89.78, what will be the change in the C$ price to an importer of a ¥2,965,000 car?

Express the following as an equivalent ratio whose smallest term is 1: 0.177: 0.81

If the US$ strengthens by 2% relative to the euro (US$1.00 = €0.746826), what will be the new value for the euro per US$1.00?

If the C$ strengthens by 2% relative to the US$ (US$1.00 = C$1.0339), what will be the new value for the US$ per C$1.00?

Keiko arrived in Oshawa to study English at Durham College. She used travellers' cheques totalling ¥1,000,000 to open a Canadian dollar bank account. What will her opening balance be if the bank charges 0.5% for the currency conversion?

Milan, Katka, and Shoshanna started their partnership with a total investment of $135,000 contributed in the ratio of 3: 4: 2. If each partner contributes another $10,000, what will be the ratio of their total contributions?

Express the following ratio in its lowest terms: $10 \frac{1}{2}: 7: 4 \frac{1}{5}$

Express the ratio 0.25: 1.40: 8.50 in its lowest terms:

The Borellis wish to purchase a larger house to accommodate their growing family. The current year's property tax on their home amounts to $3,545 based on its assessed value of $328,000. The assessed value of a property they are seriously considering is $437,000. What property tax can the Borellis expect to pay on this home if property taxes are in the same ratio as assessed values?

If the C$ weakens by 0.5% relative to the €, C$1.00 = €0.7448, what will be the new values for € per C$1.00 and C$ per €1.00?

The "basket" of goods and services included in the Consumer Price Index cost $21,350 on the base date. Eight years later, the same basket cost $26,090. What was the CPI on the latter date?

How much will it cost (in Canadian funds) to purchase £2,000 worth of traveller's cheques if the commission rate for this quantity of cheques is 0.5%?

A high-definition movie lasting 1 hour and 45 minutes consumed 4.5 Gb of memory on the hard drive of a TiVo personal video recorder (PVR). Rounded to the nearest minute, what is the maximum duration of high-definition recording that could be saved on the PVR's 80-Gb hard drive?

Use the currency exchange rates in Table 3.2 to calculate the equivalent amount of the currency in the second column that is equal to the given amount in the first column.

Kristina, Larissa, and Marika invested $50,000, $80,000 and $100,000 respectively in a fashion retail business. What is the ratio of Kristina's to Larissa's to Marika's investment in lowest terms?

Use the currency exchange rates in Table 3.2 to calculate the equivalent amount of the currency in the second column that is equal to the given amount in the first column.

Peter, Gordon, Irwin and Mark are currently in a partnership. However, Peter is retiring and will be bought out by the remaining three partners for $150,000. The current ownership structure is as follows: If Gordon, Irwin and Mark still wish to maintain the same ownership percentage, how should Peter's shares be allocated?

Hockey goals and assists each count as one point. Anthony's ratio of goals to assists is 2:5. Last season he collected a total of 91 points. How many goals did Anthony score?

If the C$ per US$ exchange rate decreases by C$0.005 from its value C$1.0339 = US$1.00), what will be the change in the US$ per C$ exchange rate?