CAT Exam > CAT Questions > DIRECTIONS for the question: Solve the follow...
Start Learning for Free
DIRECTIONS for the question: Solve the following question and mark the best possible option.
Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.
Q. The initial amount in rupees, deposited by Ghosh Babu was:
- a)25,000
- b)75,000
- c)50,000
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
DIRECTIONS for the question: Solve the following question and mark the...
Let us assume that Ghosh Babu had deposited Rs. 100 initially.
Hence, had he deposited Rs.100 initially, he should have withdrawn Rs.22 at the end to close the account.
Since he withdrew Rs.11000, at the end he should have initially deposited Rs.50000.
Most Upvoted Answer
DIRECTIONS for the question: Solve the following question and mark the...
Analysis:
Let's analyze the given information step by step to find the initial amount deposited by Ghosh Babu.
Step 1: Calculation after the 1st year
After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. This means that the remaining amount after the 1st year is 80% of the initial amount.
Step 2: Calculation after the 2nd year
After the 2nd year, Ghosh Babu withdrew the interest and 50% of the remaining amount. This means that the remaining amount after the 2nd year is 50% of 80% of the initial amount.
Step 3: Calculation after the 3rd year
After the 3rd year, Ghosh Babu withdrew the interest and 50% of the remaining amount. This means that the remaining amount after the 3rd year is 50% of 50% of 80% of the initial amount.
Step 4: Calculation after the 4th year
Finally, after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000. This means that the remaining amount after the 4th year is Rs. 11,000.
Calculation:
Let's assume the initial amount deposited by Ghosh Babu is x rupees.
After the 1st year:
Remaining amount = 80% of x = 0.8x
After the 2nd year:
Remaining amount = 50% of (80% of x) = 0.5 * 0.8x = 0.4x
After the 3rd year:
Remaining amount = 50% of (50% of 80% of x) = 0.5 * 0.5 * 0.8x = 0.2x
After the 4th year:
Remaining amount = Rs. 11,000
Therefore,
0.2x = 11,000
x = 11,000 / 0.2
x = 55,000
So, the initial amount deposited by Ghosh Babu was Rs. 55,000.
Conclusion:
The initial amount in rupees deposited by Ghosh Babu was Rs. 55,000.
Let's analyze the given information step by step to find the initial amount deposited by Ghosh Babu.
Step 1: Calculation after the 1st year
After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. This means that the remaining amount after the 1st year is 80% of the initial amount.
Step 2: Calculation after the 2nd year
After the 2nd year, Ghosh Babu withdrew the interest and 50% of the remaining amount. This means that the remaining amount after the 2nd year is 50% of 80% of the initial amount.
Step 3: Calculation after the 3rd year
After the 3rd year, Ghosh Babu withdrew the interest and 50% of the remaining amount. This means that the remaining amount after the 3rd year is 50% of 50% of 80% of the initial amount.
Step 4: Calculation after the 4th year
Finally, after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000. This means that the remaining amount after the 4th year is Rs. 11,000.
Calculation:
Let's assume the initial amount deposited by Ghosh Babu is x rupees.
After the 1st year:
Remaining amount = 80% of x = 0.8x
After the 2nd year:
Remaining amount = 50% of (80% of x) = 0.5 * 0.8x = 0.4x
After the 3rd year:
Remaining amount = 50% of (50% of 80% of x) = 0.5 * 0.5 * 0.8x = 0.2x
After the 4th year:
Remaining amount = Rs. 11,000
Therefore,
0.2x = 11,000
x = 11,000 / 0.2
x = 55,000
So, the initial amount deposited by Ghosh Babu was Rs. 55,000.
Conclusion:
The initial amount in rupees deposited by Ghosh Babu was Rs. 55,000.
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 CATView all
DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect 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 DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect 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 DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect 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 DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect 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 DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect 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 DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONS for the question: Solve the following question and mark the best possible option.Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The initial amount in rupees, deposited by Ghosh Babu was:a)25,000 b)75,000 c)50,000 d)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup