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An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for a duration of 3 years at a 20% interest rate, compounded annually. At the end of each of these 3 years, he returns a certain amount of money to the bank. The amount returned at the end of each of these 3 years is the same. At the end of 3 years, the bank additionally demanded a cheque of Rs. 1.8 lakhs to settle the loan. What was the amount he used to pay at the end of each year?
    Correct answer is '900000'. Can you explain this answer?
    Verified Answer
    An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for...
    According to the question
    2000000(1.2)3 = x(1.2)2 + x(1.2) + x + 180000 
    3456000 − 180000 = x(1.44 + 1.2 + 1)
    3276000 = x(1.44 + 1.2 + 1)
    3276000 = x × 3.6
    3276000/​3.64 = x
    x = 900000.
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    Most Upvoted Answer
    An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for...
    Given information:
    - Loan amount: Rs 20 lakhs
    - Duration: 3 years
    - Interest rate: 20% (compounded annually)
    - Amount returned at the end of each year is the same
    - Additional demand by the bank at the end of 3 years: Rs 1.8 lakhs

    Calculating the amount returned each year:
    Let's assume the amount returned at the end of each year is 'X' lakhs.

    Year 1:
    - Loan amount: Rs 20 lakhs
    - Interest rate: 20%
    - Compounded annually

    At the end of the first year, the loan amount would have increased by 20%:
    Loan amount after 1 year = Rs 20 lakhs + (20/100) * Rs 20 lakhs = Rs 24 lakhs

    The entrepreneur returns 'X' lakhs to the bank.
    Remaining loan amount after Year 1 = Rs 24 lakhs - X lakhs

    Year 2:
    - Loan amount after Year 1: Rs 24 lakhs - X lakhs
    - Interest rate: 20%
    - Compounded annually

    At the end of the second year, the loan amount would have increased by 20%:
    Loan amount after 2 years = (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs)

    The entrepreneur returns 'X' lakhs to the bank.
    Remaining loan amount after Year 2 = (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs

    Year 3:
    - Loan amount after Year 2: (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs
    - Interest rate: 20%
    - Compounded annually

    At the end of the third year, the loan amount would have increased by 20%:
    Loan amount after 3 years = [ (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs ] + (20/100) * [ (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs ]

    The bank demands an additional Rs 1.8 lakhs at the end of 3 years, so:
    Loan amount after 3 years = [ (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs ] + (20/100) * [ (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs) - X lakhs ] + Rs 1.8 lakhs

    We know that the loan amount after 3 years should be zero (loan fully settled), so we can equate it to zero and solve for X:

    [ (Rs 24 lakhs - X lakhs) + (20/100) * (Rs 24 lakhs - X lakhs)
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    An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for a duration of 3 years at a 20% interest rate, compounded annually. At the end of each of these 3 years, he returns a certain amount of money to the bank. The amount returned at the end of each of these 3 years is the same. At the end of 3 years, the bank additionally demanded a cheque of Rs. 1.8 lakhs to settle the loan. What was the amount he used to pay at the end of each year?Correct answer is '900000'. Can you explain this answer?
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    An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for a duration of 3 years at a 20% interest rate, compounded annually. At the end of each of these 3 years, he returns a certain amount of money to the bank. The amount returned at the end of each of these 3 years is the same. At the end of 3 years, the bank additionally demanded a cheque of Rs. 1.8 lakhs to settle the loan. What was the amount he used to pay at the end of each year?Correct answer is '900000'. 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 An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for a duration of 3 years at a 20% interest rate, compounded annually. At the end of each of these 3 years, he returns a certain amount of money to the bank. The amount returned at the end of each of these 3 years is the same. At the end of 3 years, the bank additionally demanded a cheque of Rs. 1.8 lakhs to settle the loan. What was the amount he used to pay at the end of each year?Correct answer is '900000'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An entrepreneur borrows an amount of Rs 20 lakhs from a local bank for a duration of 3 years at a 20% interest rate, compounded annually. At the end of each of these 3 years, he returns a certain amount of money to the bank. The amount returned at the end of each of these 3 years is the same. At the end of 3 years, the bank additionally demanded a cheque of Rs. 1.8 lakhs to settle the loan. What was the amount he used to pay at the end of each year?Correct answer is '900000'. Can you explain this answer?.
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