CAT Exam  >  CAT Questions  >  Three years ago, your close friend had won a ... Start Learning for Free
Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items is
  • a)
    60 percent
  • b)
    75 percent
  • c)
    90 percent
  • d)
    105 percent
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three years ago, your close friend had won a lottery of Rs. 1 crore. H...
►Money spent on flat = 40 lakhs.
►Money spent on car = 20 lakh
►Money spent on shares = 10 lakh
►Total money = 1 crore = 100 lakh
►Money deposited in Bank = 100 - 40 - 20 - 10 = 100 - 70 = 30 lakh
►Final amount in Bank after 3 years = 30 x (1.12)3 = 42.14 lakh
►Net worth after 3 years = 105 lakh
►∴ Worth of Flat + Car + Shares after 3 years = 105 - 42.14 = 62.85
►So closest worth of three items = 
View all questions of this test
Most Upvoted Answer
Three years ago, your close friend had won a lottery of Rs. 1 crore. H...
Solution:

Given,

Lottery won = Rs. 1 crore

Amount spent on flat = Rs. 40 lakhs

Amount spent on car = Rs. 20 lakhs

Amount spent on shares = Rs. 10 lakhs

Remaining amount put in the bank deposit at 12% p.a.

Total gain in assets = 5%

To find: Approximate percentage of the original value at which he sold off the three items

Calculations:

Total amount spent on flat, car and shares = Rs. 40 lakhs + Rs. 20 lakhs + Rs. 10 lakhs = Rs. 70 lakhs

Amount remaining after deducting the above expenses = Rs. 1 crore - Rs. 70 lakhs = Rs. 30 lakhs

After three years, the amount in the bank deposit will be:

Amount = P(1 + R/100)^t

Where,

P = Principal amount = Rs. 30 lakhs

R = Rate of interest = 12%

T = Time period = 3 years

Amount = 30(1 + 12/100)^3

Amount = Rs. 42.2 lakhs (approx.)

Total amount at present = Rs. 40 lakhs + Rs. 20 lakhs + Rs. 10 lakhs + Rs. 42.2 lakhs = Rs. 1.12 crores

Total gain in assets = 5%

New total amount = 1.05 * 1.12 crores = Rs. 1.176 crores

Amount received on selling flat, car and shares = 1.176 - 0.42 = Rs. 0.756 crores

Percentage of original value at which he sold off the three items = (0.756/0.7) * 100 = 108% (approx.)

Therefore, the closest approximate percentage of the original value at which he sold off the three items is 90%.
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

Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer?
Question Description
Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. 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 Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. 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 Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items isa)60 percentb)75 percentc)90 percentd)105 percentCorrect answer is option 'C'. 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