# FREE CFAT Problem Solving Questions and Answers

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#### Employees at a discounted appliance store get an extra 20% off the lowest price on any item. If an employee buys a dishwasher during a 15% discount sale, how much will he pay if the appliance was originally \$450?

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The dishwasher's initial price was \$450. During the 15% off promotion, the dishwasher's price will be lowered by: 15% of \$450 = 0.15 x \$450 = \$67.50 So, the dishwasher's retail price will be: \$450 - \$67.50 = \$382.50 As an employee, the person saves an additional 20% on the lowest price, which is \$382.50. We may compute the extra discount as follows: 20% of \$382.50 = 0.20 x \$382.50 = \$76.50 So the ultimate cost that the employee will pay for the dishwasher is: \$382.50 - \$76.50 = \$306.00 As a result, the employee will pay \$306.00 for the dishwasher.

#### A car's selling price is \$12,590, which is 20% off its original price. What was the initial price?

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Original price = x, 80/100 = 12590/X, 80X = 1259000, X = 15,737.50

#### A box contains 28 blue pencils and 7 black pencils. What is the ratio of the black and blue pens?

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The ratio of black and blue pens is 7 to 28, or 7:28. Dividing both sides by 7 yields 1:4.

#### If Jenny can paint a property in 4 hours and Mark can paint the same house in 6 hours, how long will it take for both of them to paint the house?

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This is an inverse ratio problem. 1/x = 1/a + 1/b, where an is Jenny's painting time, b is Mark's painting time, and x is the combined painting time of Jenny and Mark. So, 1/x = 1/4 + 1/6  We use the smallest common multiple in the denominator, 24. 1/x = 6/24 + 4/24 1/x = 10/24 x = 24/10 x equals 2.4 hours. In other words, 2 hours plus 0.4 hours is 2 hours plus 0.4 times 60 minutes. = 2 hours, 24 minutes.