Exam 3: Ratios and Proportions

An international equity mutual fund includes American stocks, Japanese stocks, German stocks, and British stocks in the ratio 27: 19: 14: 11, respectively. If its current holdings of German stocks are valued at $US238 million, what are the values of its holdings in the securities of the other three countries?

Sam is going to ask for a raise. Over the past year, the CPI has gone from 129.9 to 131.9. Sam currently earns $42,500. What is the minimum raise that Sam should ask for in order to maintain the same buying power?

Solve the following proportion for the unknown quantity: 65: 43 = 27.3: x

Canadian Can Co. operates a profit-sharing plan wherein half the annual profits are distributed to employees. By agreement, the amounts received by individual executives, supervisors, and production workers are to be in the ratio of 10: 7: 5 respectively. During the last fiscal year, there were 4 executives, 8 supervisors, and 45 production personnel. What profit-sharing amount will each executive, supervisor, and production worker receive if the year's profit was $265,000?

Express the following ratio in its lowest terms. 130: 290: 60

The CPI rose from 95.3 to 115.1 from 2000 to 2016. If you earned $7 per hour in 2000, how much would you have to earn in 2016 to maintain the same purchasing power?

If the number of £ per C$1.00 rises from 0.6370 to 0.6403, what will be the change in the C$ revenue from a foreign contract fixed at £23,000?

If the number of US$ per C$1.00 declines from 0.9721 to 0.9685, what will be the change in the C$ price per ounce of gold which a Canadian gold mine sells at the international price of US$1392 per ounce?

Express the following ratio in its lowest terms: $6 \frac{1}{4}: 5: 8 \frac{3}{4}$

The current exchange rates show that C$1.00 = US$0.9672. If you have $500 Canadian dollars to exchange and the currency exchange store charges 2% on all transactions, how many US dollars will you be able to buy?

Solve the following proportion for the unknown quantity: 88: 17 = a: 45

Hamish and Grace MacDonald have been investigating the cost of a holiday in Britain. From their home in Welland, Ontario, it is equally inconvenient to fly out of Toronto or Buffalo, New York. On the Internet, they have found that they can fly Buffalo-London return on American Airlines for US$656 each, rent a hotel room in London for two people for one night at a cost of £87, and join Jolly Tours the next day for a two-week all-inclusive coach tour at a cost of £1,150 per person. Alternatively, the MacDonalds can purchase an all-inclusive package (including a similar coach tour) from a local travel agent for C$3,595 per person. Which alternative is cheaper? How much cheaper is it in C$ for two people?

If the C$ weakens by €0.0211 from the value C$1.00 = €0.7448, what will be the new value of C$ per €1.00?

Before Mr. and Mrs. Percival left for Great Britain, they purchased British pounds at an exchange rate of C$1.5645 = £1.00. When they returned to Canada 8 weeks later they converted their remaining £242 back to Canadian currency at the rate of C$1.5862 = £1.00. How much did they gain or lose in Canadian dollars on the round-trip transaction involving the £242?

The current exchange rates show that US$1.00 = €0.7700. If you have $450 US dollars to exchange and the currency exchange charges 2.5% on all transactions, how many euros will you be able to buy?

The last will of a family stated that assets would be divided on a 3.5: 1.6: 2.9 basis. If $60,000 of assets were sold, then the respective distributions are $26250,$12000,$21750.

If you use your car for both business and pleasure, the Canada Revenue Agency will usually allow you to report a portion of the costs of operating the vehicle as a business expense. This portion is determined by the ratio of the distance travelled on business to the total distance travelled in the year. Last year, Harjap spent a total of $11,348 on gasoline, oil, repairs and maintenance, and insurance. His travel log shows that he drove 14,488 km on business and 8,329 km on personal use. What vehicle expense can Harjap report for the year?

Last year, the U.S. sales of Ford, General Motors, and Chrysler, respectively, were in the ratio 92: 121: 35. GM has just announced sales of $10.8 billion for the first half of the current fiscal year. If the three companies have maintained the same market share as they had last year, what were the first half sales of Ford and Chrysler?

The Ministry of Education reported that the average school district in the province has 13,450 students in "K to 12" programs, an annual budget of $87.4 million, and 635 full-time-equivalent teachers. The Middleton School District (MSD), with an annual budget of $69.1 million and 498 teachers, serves 10,320 students. What adjustments would have to be made to MSD's budget and staffing to have them in the same proportion to enrolment as the provincial average?

A basket of goods cost $250 at the base year. Six years later, the same basket of goods cost $290. Determine the CPI in year six.