Percentage Miscellaneous Applications

PERCENT: MISCELLANEOUS

Percent & Ratios:

1. Kelly and Chris packed several boxes with books if Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?

(A)  1 to 6 (B) 1 to 4 (C) 2 to 5 (D) 3 to 5   (E) 2 TO 3

Percent & Time and work:

1. A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
(A) 13x/15     (B) 15x/15     (C) 7x/15     (D) 2x/30      (E) 13x/30

Percent and mixtures:

1. A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein .If the rabbit’s diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture.

(A) 100           (B) 140        (C) 150        (D) 160          (E) 200

Percent and Symbol or Definition question:

1. If “basis points” are defined so that 1 percent is equal to 100 basis points, then 82.5 is how many basis points greater than 62.5 percent?

(A)  0.02      (B) 0.2      (C)  20       (D)  200      (E)  2,000

Successive Discounts:

1. The price of a certain television is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of

(A) 20 %        (B)19 %       (C)18 %     (D) 11 %     (E) 10 %

Percent and overlapping sets:

1. Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks?
(A) 9/50        (B) 7/25        (C) 7/20         (D) 21/50        (E) 27/50

Broken Percent:

1. On a test consisting of 80 questions , Eve answered 75% of the first 60 questions correctly. What percent of the other 20 questions does she need to answer correctly for her grade on the entire exam to be 80% ?

(A) 85 %        (B) 87.5%           (C) 90 %       (D) 95 %          (E) 100 %

Percent and Solutions:

1. A solution that is 20% sugar is made sweeter by doubling the amount of sugar.

Column A:  The percent of sugar in the solution

Column B: 40%

Percent in a Percent:

1.                            Bank A pays 5% interest on its savings accounts.

                           Bank B pays 4% interest on its savings accounts.

Column A:  Percent by which bank B would have to raise its interest rate to match with bank A.

Column B : 20%