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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 year, at the end of which, Ghosh Babu withdrew the smallest amount was:
  • a)
    First
  • b)
    Second
  • c)
    Third
  • d)
    Fourth
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
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Hence, had he deposited Rs.100 initially, he should have withdrawn Rs.22 at the end to close the account.
He withdrew the smallest amount after the 4th year(from above table)
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DIRECTIONSfor the question:Solve the following question and mark the b...
Question Analysis:
In this question, we are given that Ghosh Babu deposited a certain sum of money in a bank in 1986 and the bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. We need to determine the year in which Ghosh Babu withdrew the smallest amount.
Let's solve this question step by step.

Step 1: Calculation of Interest:
Let's assume that the principal amount deposited by Ghosh Babu in 1986 is Rs. P.
The interest credited to the account at the end of the 1st year will be (10/100) * P = 0.1P.
Hence, the amount remaining in the account after the 1st year will be (P - 0.1P) = 0.9P.

Step 2: Withdrawal after the 1st Year:
Ghosh Babu withdraws the entire interest and 20% of the initial amount after the 1st year.
Hence, the amount withdrawn after the 1st year will be (0.1P + 0.2P) = 0.3P.
The remaining amount after the withdrawal will be (0.9P - 0.3P) = 0.6P.

Step 3: Withdrawal after the 2nd Year:
Ghosh Babu withdraws the interest and 50% of the remaining amount after the 2nd year.
The interest credited to the account at the end of the 2nd year will be (10/100) * (0.6P) = 0.06P.
Hence, the amount remaining in the account after the 2nd year will be (0.6P - 0.06P) = 0.54P.
The amount withdrawn after the 2nd year will be (0.06P + 0.27P) = 0.33P.
The remaining amount after the withdrawal will be (0.54P - 0.33P) = 0.21P.

Step 4: Withdrawal after the 3rd Year:
Ghosh Babu withdraws the interest and 50% of the remaining amount after the 3rd year.
The interest credited to the account at the end of the 3rd year will be (10/100) * (0.21P) = 0.021P.
Hence, the amount remaining in the account after the 3rd year will be (0.21P - 0.021P) = 0.189P.
The amount withdrawn after the 3rd year will be (0.021P + 0.0945P) = 0.1155P.
The remaining amount after the withdrawal will be (0.189P - 0.1155P) = 0.0735P.

Step 5: Calculation of Final Amount:
After the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.
Hence, we can write the equation as:
0.0735P = 11,000

Step 6: Calculation of P:
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DIRECTIONSfor 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 1styear, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2ndyear, he withdrew the interest and 50% of the remaining amount. After the 3rdyear, he withdrew the interest and 50% of the remaining amount. Finally after the 4thyear, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The year, at the end of which, Ghosh Babu withdrew the smallest amount was:a)Firstb)Secondc)Thirdd)FourthCorrect answer is option 'D'. Can you explain this answer?
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DIRECTIONSfor 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 1styear, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2ndyear, he withdrew the interest and 50% of the remaining amount. After the 3rdyear, he withdrew the interest and 50% of the remaining amount. Finally after the 4thyear, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The year, at the end of which, Ghosh Babu withdrew the smallest amount was:a)Firstb)Secondc)Thirdd)FourthCorrect 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 DIRECTIONSfor 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 1styear, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2ndyear, he withdrew the interest and 50% of the remaining amount. After the 3rdyear, he withdrew the interest and 50% of the remaining amount. Finally after the 4thyear, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The year, at the end of which, Ghosh Babu withdrew the smallest amount was:a)Firstb)Secondc)Thirdd)FourthCorrect 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 DIRECTIONSfor 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 1styear, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2ndyear, he withdrew the interest and 50% of the remaining amount. After the 3rdyear, he withdrew the interest and 50% of the remaining amount. Finally after the 4thyear, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q. The year, at the end of which, Ghosh Babu withdrew the smallest amount was:a)Firstb)Secondc)Thirdd)FourthCorrect answer is option 'D'. Can you explain this answer?.
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