SAT PROBLEMS ON PERCENTAGE CHANGE WORKSHEET

Problem 1 :

The original price of the suit is $1000. A sales man decides to discount it by 30%. Later on the manager decides to give a 15% discount off the salesman's price. What is the final price of the suit ?

a)  350      b)  485     c) 550      d)  595

Solution

Problem 2 :

A large group of friends go out to dinner at a restaurant which charges them a service fee 12 percent of the original price of the meal. After this fee is factored in, the group uses the coupon to get 25% off the total. In the end, what percent discount did the group receive off the original price ?

a)  13%    b)  16%    c)  18%    d)  20%

Solution

Problem 3 :

The difference between two numbers is 30. One of the numbers x is 20% less than the other number, find the value of x? 

Solution

Problem 4 :

There are 50 tennis balls, 20 of which are blue in a container. After x blue tennis balls are removed, 25% of the tennis balls in the container are blue. What is the value of x ?

Solution

Problem 5 :

During one season, a baseball player managed to hit 25% of the balls pitched at him. Of the balls he hit, 5 percent were home runs. Which of the following expresses the estimated number of home runs this player would hit if n balls were pitched at him ?

a)  (0.25+0.05)n    b)   (0.25) (0.05)n

c)  n/(0.25)(0.5)     d)  (1.25)(1.05n)

Solution

Problem 6 :

Gillian scored an 84 on her midterm and a 94 on her final. which of the following best approximates the percent increase in her score from her midterm to her final ?

a)  10.6%     b)  11.9%     c)  12.1%     d)  15.5% 

Solution

Problem 7 :

A wine manufacturer produced x bottles of wine in its first production run. In its second run, it produced 35% less. If the manufacturer produced 3900 bottles in its second run, what is the value of x ?

a)  5265     b)  5750    c)  5830    d)  6000

Solution

Problem 8 :

At the start of the semester, Andrew could swim a mile in 16 minutes. At the end of the semester he could swim a mile in 12 minutes. What is the percent decrease (to the nearest percent) in his time from the start to the end of the semester ?

a)  20%     b)  25%    c)  33%    d)  40%

Solution

Problem 9 :

The table below shows the number of vowels and consonants in 4 different languages.

Based on the table, vowels make up approximately 38% of the alphabet in which language ?

a)  Danish    b)  German     c) Greek    d)  Portuguese

Solution

Problem 10 :

From 2012 to 2013, the total budget for all four schools decreased by approximately what percent ?

Solution