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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. The total interest, in rupees, collected by Ghosh Babu was:
  • a)
    12,000
  • b)
    20,000
  • c)
    4,000
  • d)
    11,000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ghosh Babu deposited a certain sum of money in a bank in 1986. The ban...
As seen from the above table, the total interest collected by Ghosh Babu is Rs.24 on Rs.100.
Hence on Rs.50000, it would be Rs.12000.
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Most Upvoted Answer
Ghosh Babu deposited a certain sum of money in a bank in 1986. The ban...
Given:
- The bank calculates the interest on the principal at 10 percent simple interest.
- The interest is credited 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, Ghosh Babu withdrew the interest and 50% of the remaining amount.
- After the 3rd year, Ghosh Babu 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.

To find:
The total interest collected by Ghosh Babu.

Approach:
We can solve this problem by working backward from the final amount of Rs. 11,000 to find the initial principal amount.

Solution:
Let's assume the initial principal amount deposited by Ghosh Babu is P.

Year 4:
- After the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.
- This means the remaining amount after the 4th year is Rs. 11,000.

Year 3:
- Before withdrawing 50% of the remaining amount, the balance should be twice the amount after the 3rd year.
- 2 * Remaining amount after the 3rd year = Remaining amount after the 4th year
- 2 * Remaining amount after the 3rd year = Rs. 11,000
- Remaining amount after the 3rd year = Rs. 11,000 / 2 = Rs. 5,500

Year 2:
- Before withdrawing 50% of the remaining amount, the balance should be twice the amount after the 2nd year.
- 2 * Remaining amount after the 2nd year = Remaining amount after the 3rd year
- 2 * Remaining amount after the 2nd year = Rs. 5,500
- Remaining amount after the 2nd year = Rs. 5,500 / 2 = Rs. 2,750

Year 1:
- Before withdrawing 20% of the initial amount and the entire interest, the balance should be five times the amount after the 1st year.
- 5 * Remaining amount after the 1st year = Remaining amount after the 2nd year
- 5 * Remaining amount after the 1st year = Rs. 2,750
- Remaining amount after the 1st year = Rs. 2,750 / 5 = Rs. 550

Now, we can calculate the initial principal amount:
- Initial principal amount + Interest after 1st year - 20% of the initial amount = Remaining amount after the 1st year
- Initial principal amount + (10/100) * Initial principal amount - (20/100) * Initial principal amount = Rs. 550
- Initial principal amount * (1 + 10/100 - 20/100) = Rs. 550
- Initial principal amount * (1 - 10/100) = Rs. 550
- Initial principal amount * (90/100) = Rs. 550
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Vijay has just started saving enough money and he wants to learn how to invest it in the best possible manner. His friend Amit has agreed to help him. Amit tells Vijay that he invests his money in four broad categories: fixed deposits, equities, equity mutual funds and debt mutual funds. Amit saves Rs. 40,000 every year and deposits all of it across these four categories on 1st April of every year. He started investing in 2004 with equal amounts in the four categories, but since then, the break-up of his deposits across these four categories has differed. However, he ensures that 50% of his yearly savings go into equities and equity mutual funds and the remaining 50% in the other 2 categories.Also, Amit maintains a data table recording the total amount he has in each of these fourcategories as on 1st April of every year (table given below). It is also known that the interest rates on fixed deposits have been decreasing: they were 10%, 9% and 8% per annum in the years 2004-05, 2005-06, and 2006-07 respectively. Amit also remembers that the percentage returns on equities in 2006-07 were five times the percentage returns on debt mutual funds in the same year and the percentage returns on equity mutual funds in 2004-05 and 2005-06 were half of the percentage returns on equities in 2005-06 and 2006-07 respectively. Amit does not remember too many details besides that.Q. What was the amount deposited in equity mutual funds on 1st April, 2007? Correct answer is '13000'. Can you explain this answer?

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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.The total interest, in rupees, collected by Ghosh Babu was:a)12,000b)20,000c)4,000d)11,000Correct answer is option 'A'. Can you explain this answer?
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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.The total interest, in rupees, collected by Ghosh Babu was:a)12,000b)20,000c)4,000d)11,000Correct answer is option 'A'. 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 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.The total interest, in rupees, collected by Ghosh Babu was:a)12,000b)20,000c)4,000d)11,000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.The total interest, in rupees, collected by Ghosh Babu was:a)12,000b)20,000c)4,000d)11,000Correct answer is option 'A'. Can you explain this answer?.
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