Word Problems

In a certain store, item X sells for 10 percent less than item Y. What is the ratio of the store’s revenue from the sales of item X to that from the sales of item Y? (1) The store sells 20 percent more units of item Y than of item X. (2) The store’s revenue from the sales of item X is $6,000andfromthesalesofitemYis$8,000.

Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer? (1) 2 M-type memory units will increase the computer’s base memory by 300 percent. (2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

If tank X contains only gasoline, how many kiloliters of gasoline are in tank X. (1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity. (2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity. (1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity. (2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

How much nitrogen is needed in the mixture used by a lawn maintenance company to fertilize the grass on a certain portion of a golf course? (1) The portion of the golf course to be fertilized is 30 meters by 50 meters. (2) The amount of fertilizer needed is 40 kilograms, and the fertilizer must be composed of nitrogen, phosphorus, and potash in the proportions 5:7:4, respectively.

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3 7 3 7 of the tank's capacity. What was the tank’s capacity? (1) Before the 200 gallons were removed, the volume of oil in the tank was 1 2 1 2 of the tank's capacity. (2) After the 200 gallons were removed, the volume of the oil left in the tank was 1,600 gallons less than the tank's capacity.

For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person? (1) The daily cost per person for 4 people sharing the cost of a room equally is $45. (2) The daily cost per person for 2 people sharing the cost of a room equally is $25 more than the corresponding cost for 4 people.

Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q? (1) The average annual salary of the employees in Division R is $30,000. (2) The average annual salary of the employees at Company Q who are not in Division R is $35,000.

In June 1989, what was the ratio of the number of sales transactions made by Salesperson X to the number of sales transactions made by Salesperson Y ? (1) In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989. (2) In June 1989, Salesperson Y made 25 percent more sales transactions than in May 1989.

Leo can buy a certain computer for p 1 p 1 dollars in State A, where the sales tax is t 1 t 1 percent, or he can buy the same computer for p 2 p 2 dollars in State B, where the sales tax is t 2 t 2 percent. Is the total cost of the computer greater in State A than in State B? (1) t 1 > t 2 t 1 > t 2 (2) p 1 t 1 > p 2 t 2 p 1 t 1 > p 2 t 2

Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365.Iftherewasnosalestaxonanyclothingitemwithapriceoflessthan$100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought? (1) The price of the coat was $125. (2) The average (arithmetic mean) price for the 6 items other than the coat was $40.

The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula n = 900 1 + c 2 − t n = 900 1 + c 2 − t , where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year? (1) Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year. (2) Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.

What was the price at which a merchant sold a certain appliance? (1) The merchant's gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance. (2) The price at which the merchant sold the appliance was $50 more than the merchant's cost of the appliance.

A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal? (1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal. (2) The family-size box of cereal costs $5.40.

Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items? (1) The regular price of the most expensive item was $50,andtheregularpriceofthenextmostexpensiveitemwas$20 (2) The regular price of the least expensive item was $15

If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house? (1) The selling price minus the real estate agent’s commission was $84,600. (2) The selling price was 250 percent of the original purchase price of $36,000.

A certain group of car dealerships agreed to donate x dollars to a Red Cross Chapter for each car sold during a 30-day period. What was the total amount that was expected to be donated? (1) A total of 500 cars were expected to be sold (2) Sixty more cars were sold than expected, so that the total amount actually donated was $28,000

Whenever martin has a restaurant bill with an amount between $10and$99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin's most recent restaurant bill was between $10and$99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill? (1) The amount of the bill was between $15and$50 (2) The tip calculated by the martin was $8

What is the number of members of Club X who are at least 35 years of age? (1) Exactly 3/4 of the members of club X are under 35 years of age. (2) The 64 women in Club X constitute 40 percent of the club's membership.

A certain salesperson's weekly salary is equal to a fixed base salary plus a commission that is directly proportional to the number of items sold during the week.If 50 items are sold this week , what will be the salesperson's salary for this week. (1) Last week 45 items were sold. (2) Last week's salary was $405 (1) Last week 45 items were sold. (2) Last week's salary was $405

If Ms. Smith's income was 20 percent more for 1991 than it was for 1990. how much was her income for 1991? (1) Ms. Smith's income for the first 6 months of 1990 was $17,500andherincomeforthelast6monthsof1990was$20,000. (2) Ms. Smith's income for 1991 was $7,500 greater than her income for 1990.