Loren bought a roll of cloth and sold it for a 5% profit based on the selling price. If Loren‘s profit was $45.5 total on the cloth, how much did it cost her to buy the cloth?
Answer(s): E
5% of the total price of the cloths is 45.5 dollars, multiply this number to get the entire 100% of the total selling price: (45.5 x 20 = $910). Now subtract the profit $45.5 to get the cost: 910-45.5=$864.5. The correct answer is E.
In a recent tender, X people participated. 35% of the X people, who made an offer won the specific tender they participated in. 70% of the rest, were disappointed from the result of the tender. Which of the following expressions represents the number of people who weren’t disappointed although they didn’t win the tender?
Answer(s): A
65X/100 is the number of people who didn’t win the tender. 30% of that number is the number of people who weren’t deeply disappointed about the fact that they didn’t win. 30 x (65X/100) /100 = 19.5/100 = 39/200. The correct answer is A.
What is 0.01 x 5 x 0.03 in terms of percent?
Answer(s): C
Since 0.01 and 0.03 each have 2 decimal places, their product must have 4 (2 + 2) decimal places. Because 1 x 3 x 5 is 15, you need to add 2 zeros to get the correct number of decimal places, so the product of 0.01, 5 and 0.03 is 0.0015. To change a decimal to a percentage you multiply by 100 and move the decimal point 2 places to the right, so 0.0015 is 0.15%. The correct answer is C.
In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Answer(s): B
Pick numbers: a barrel of beer costs $40 and a barrel of juice costs $30 according to the given ratio. One liter of beer will cost $0.5 and one liter of juice will cost $1. Therefore, the price ratio is 2:1. The correct answer is B.
From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
One is going north and the other is going west. The distance can be calculated using the Pythagorean theorem. One made a distance of 1.6 x 5 = 8 Km, The second one did 1.2 x 5 = 6 Km. The distance between them is the square root of (64 + 36) = 10 Km. The best answer is A.
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