Exam 3: Ratios and Proportions

A partnership agreement provides that half of the annual profit be distributed in proportion to each partner's investment in the partnership, and that the other half be distributed in proportion to the total number of hours that each partner worked in the business during the year. How should the most recent year's profit of $84,780 be allocated if the amounts invested by Huey, Dewey, and Louie are $70,000, $30,000, and $45,000, and their hours of work for the year were 425; 1,680; and 1,440, respectively?

The CPI increased from 130.0 to 135.0 over a two-year period. If a person earned $35,000 at the beginning of the two-year period, how much would they have to earn at the end of the two-year period to maintain the same purchasing power?

If the Japanese Yen is currently at 100.868 per US$, and the US$ appreciates by 2.1% against the Japanese Yen, then the exchange rate of Yen per US$ is ¥0.10122.

Solve the following proportions for the unknown quantities: $x: 3600: y=\frac{4}{5}: \frac{2}{3}: \frac{7}{4}$

The basket of goods and services included in the Consumer Price Index cost $35,750 in the base year. If the same basket cost $43,000 six years later, what was the CPI on that date?

If the number of US$ per C$1.00 rises from 0.9623 to 0.9766, what will be the change in the C$ price to an importer of a US$1,500 item?

If the C$ weakens by 1½% relative to the US$ (US$1.00 = C$1.0339), what will be the new value for the US$ per C$1.00?

Express the following as an equivalent ratio whose smallest term is 1: 11:38:27

Express the following as an equivalent ratio whose smallest term is 1: $5 \frac{1}{2}: 3 \frac{3}{4}: 8 \frac{1}{3}$

Express the following as an equivalent ratio whose smallest term is 1: 77:23:41

Pacific Octagon's employee profit sharing plan allocates profits to divisional employees based on a complex formula. At the end of the current fiscal year, the company had $700,000 of profits to allocate. Half of profits are allocated based on divisional sales revenues, while the other half is allocated based on levels of customer satisfaction. Data for the past fiscal year is as follows: Rounded to the nearest dollar, determine how much profit will be allocated to each division.

Sam, Domenic, and Sal invested $100,000, $150,000 and $75,000 respectively in a business. The profits from last year were $80,000. How much of the profits should each partner receive?

If the exchange rate in terms of units of currency P per unit of Currency Q increases, which currency weakened? Explain.

Kevin lives in Calgary and wants to buy a 2012 Corvette. The best price he can find for a low-mileage model in Alberta is $61,495. (No GST would be payable on this private sale.) Through autotrader.com he tracked down a comparable car in California that he can purchase for US$54,968. To bring the car into Canada, he will have to pay 5% GST on the purchase price at Canada Customs. Additional costs will be C$387 for airfare to San Diego, US$350 in special transaction and documentation costs, and US$550 in travel and accommodation costs while driving the vehicle back to Calgary. How much will he save (in C$) by buying the Corvette in California?

Express the following ratio in its lowest terms: 2.5: 3.5: 3

Solve the proportion: 2 : 5 = 6 : y

Kristina, Larissa, and Marika invested $50,000, $80,000 and $100,000 respectively in a fashion retail business. They decided to expand the store and needed an extra $75,000. How much of the $75,000 should each invest in order to maintain the same proportion?

If the US$ per £ exchange rate increases by US$0.006 from its value US$1.00 = ₤0.6586, what will be the change in the £ per US$ exchange rate?

From the end of 2001 until the end of 2016, the Standard & Poor's 500 (S&P 500) US stock index rose from 330.2 to 1248.3. If an investor had invested $50,000 in a portfolio of the shares of the 500 companies at the end of 2001 in the Index, what would the value of those shares have been at the end of 2016? (This calculation considers only the price appreciation of the original shares. It does not include the portion of the growth in the portfolio's value resulting from the receipt and reinvestment of dividends.)

If pork chops cost US$3.99 per pound in the United States and C$9.49 per kilogram in Canada, in which country are the chops more expensive? How much more expensive are they in C$ per kg? (1 kg = 2.2 pounds)