CAT Exam  >  CAT Questions  >   Pamela purchased a box of chocolates. She ke... Start Learning for Free
Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?
  • a)
    400
  • b)
    500
  • c)
    600
  • d)
    800
  • e)
    720
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Pamela purchased a box of chocolates. She kept 20 percent for herself...
Let the total chocolates be x.
According to the given condition,
x - 0.2x - 0.25(0.8x) - 0.2(0.75 × 0.8x) - 0.25 × 0.48x - 8 = 0.35x
0.01x = 8
x = 800
Free Test
Community Answer
Pamela purchased a box of chocolates. She kept 20 percent for herself...
To solve this problem, let's break it down into steps:

Step 1: Let's assume the initial number of chocolates in the box is x.

Step 2: Pamela kept 20% of the chocolates for herself. So, she is left with 80% of the chocolates, which is 0.8x.

Step 3: Pamela gave 25% of the remaining chocolates to her friends. This means she gave away 0.25 * 0.8x = 0.2x chocolates.

Step 4: After giving away chocolates to her friends, Pamela is left with 0.8x - 0.2x = 0.6x chocolates.

Step 5: Pamela kept 20% of the remaining chocolates for herself. So, she is left with 80% of the remaining chocolates, which is 0.8 * 0.6x = 0.48x chocolates.

Step 6: Pamela gave 25% of the remaining chocolates to her friends. This means she gave away 0.25 * 0.48x = 0.12x chocolates.

Step 7: After giving away chocolates to her friends, Pamela is left with 0.48x - 0.12x = 0.36x chocolates.

Step 8: Pamela gave 8 chocolates to a guest, which means she is left with 0.36x - 8 chocolates.

Step 9: Finally, she is left with 35% of the chocolates, which is 0.35 * (0.36x - 8) chocolates.

Step 10: According to the question, she is left with 0.35 * (0.36x - 8) chocolates. We need to find the value of x.

Step 11: Setting up the equation, we have:

0.35 * (0.36x - 8) = x

Simplifying the equation, we get:

0.126x - 2.8 = x

0.874x = 2.8

x = 2.8 / 0.874

x ≈ 3.2

Since x represents the initial number of chocolates in the box, it must be a whole number. Therefore, the closest whole number to 3.2 is 3.

Hence, the box initially contained 3 chocolates.

However, none of the given options match the answer, so there might be an error in the question or the options provided.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer?
Question Description
Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer?.
Solutions for Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Pamela purchased a box of chocolates. She kept 20 percent for herself and gave 25 percent of the remaining to her friends. From the remainder, she kept 20 percent and gave 25 percent of the remaining to her friends. She gave 8 chocolates to a guest. Finally, she was left with 35 percent of the chocolates. How many chocolates did the box contain initially?a)400b)500c)600d)800e)720Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev