Multiple choice

Passage

Directions: Given line graph shows percentage distribution of people who took test drive of a car on different days of the week and the table shows the number of people who bought the car. Read the data carefully and answer the question. Note: Total test drives taken = People who bought the car + People who did not buy the car Day People who bought the car Monday 400 Tuesday 200 Wednesday 250 Thursday 150 Friday 300

If the number of people who take the test drive next week is 4,000 and the number of people who buy the car on Monday, Tuesday, Wednesday, Thursday and Friday increases by 12%, 16%, 24%, 18% and 31%, respectively and the number of females who buy the car is 56% of the number of males who buy the car, then the number of females who buy the car is what percent of the number of people who take the test drive next week?

  1. 17%

  2. 16%

  3. 14%

  4. 12%

  5. 11%
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C Correct answer
Explanation

Calculate the new number of people who bought the car for each day: Mon: 400*1.12=448, Tue: 200*1.16=232, Wed: 250*1.24=310, Thu: 150*1.18=177, Fri: 300*1.31=393. Total buyers = 1560. If females are 56% of males, then F = 0.56M and F+M = 1560. 1.56M = 1560, so M=1000, F=560. Percent = (560/4000) * 100 = 14%.

AI explanation

Applying the successive percentage increases to the daily sales gives new totals of 448 for Monday, 232 for Tuesday, 310 for Wednesday, 177 for Thursday, and 393 for Friday. Adding these figures together results in a total of 1560 cars sold next week. Let the number of males be M and females be F; since F is 56% of M, the total buyers (M plus F) equals 1.56M. Setting 1.56M equal to 1560 means M is 1000, making the number of female buyers 560. The percentage of females out of the 4000 total test drives next week is 560 divided by 4000, multiplied by 100, resulting in 14%.

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