SAT PRACTICE PROBLEMS ON PERCENTAGE

Problem 1 :

In March, a city zoo attracted 32000 visitors to its polar bear exhibit. In April, the number of visitors to the exhibit increased by 15%. How many visitors did the zoo attract to its polar bear exhibit in April ?

a)  32,150     b)  32, 480     c)  35, 200     d)  36800

Solution

Problem 2 :

Miguel is following a recipe for marinara sauce that requires half a table spoon of vinegar. If one cup is equivalent to 16 tablespoons approximately what percent of a cup of vinegar is the amount required by the recipe ?

a)  2.3%     b)  3.1%     c)  9.4%     d)  12.5%

Solution

Problem 3 :

If x is 50% larger than z, and y is 20% larger than z, then x is what percent larger than y ?

a)  15%      b) 20%        c)  25%       d) 30%

Solution

Problem 4 :

Veronica has a bank account that earns m% interest compounded annually. If she opened the account with $200, the expression $200 (x)t represents the amount in the account after t years. Which of the following gives x in terms of m ?

a)  1 + 0.01m      b) 1 + m       c)  1 - m      d)  1 + 100m

Solution

Problem 5 :

A charity organization collected 2140 donations last month. With the help of 50 additional volunteers, the organization collected 2690 donations this month, To the nearest tenth of a percent, what was the percent increase in the number of donations the charity organization collected ?

a)  20.4%      b)  20.7%    c)  25.4%      d)  25.7%

Solution

Problem 6 :

The discount price of  book is 20% less than the retail price. James manages to purchase the book at 30% off the discount price at a special book sale. What percent of the retail price did James pay ?

a)  42%     b)  48%    c)  50%     d)  56%

Solution

Problem 7 :

Each day, Robert eats 40% of the pistachios left in his jar at that time. At the end of the second day, 27 pistachios remain. How many pistachios were in the jar at the start of the first day ?

a)  75    b)  80     c) 85      d) 95

Solution

Problem 8 :

Joanne bought a doll at a 10 percent discount off the original price of $105.82. However, she had to pay a sales tax of x% on the discounted price. If the total amount she paid for the doll was $100, what is the value of x ?

a)  2    b)  3     c) 4      d) 5

Solution

Problem 9 :

In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 2010, how many were built in Town B ?

Solution

Problem 10 :

Over a two week span, John ate 20 pounds of chicken wings and 15 pounds of hot dogs. Kyle at 20 percent more chicken wings and 40 percent more hot dogs. Considering only chicken wings and hot dogs. Kyle ate approximately x percent more food, by weight, than John. What is x(rounded to the nearest percent) ?

a)  25    b)   27      c)  29      d)  30

Solution

Answer Key

1)  36800

2)  3.125%

3) 20%

4)  x = 1 + 0.01 m

5)  25.7%

6)  56% of x

7)  So, 75 pistachios was there in the jar initially.

8)  5

9)  x = 56

10)  Approximately 29%

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