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Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?
  • a)
    3
  • b)
    6
  • c)
    9
  • d)
    12
  • e)
    15
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to th...
The best answer is B.
Every three months Rusty gives the bank $40,000.
After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).
After the second quarter the bank took (0.0025 x 1002600 =  2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).
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Most Upvoted Answer
Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to th...
Problem Analysis:
We need to find out how many quarters it will take for Mr. Rusty to owe the bank no more than 1 million dollars.

Given:
- Mr. Rusty owes the bank $1,040,000.
- He returns $40,000 quarterly to the bank.
- The tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment.

Approach:
1. Calculate the amount of interest charged on the loan amount every quarter.
2. Subtract the repayment amount from the loan amount, including the interest charged.
3. Repeat steps 1 and 2 until the loan amount is reduced to 1 million dollars or less.
4. Count the number of quarters it takes to reach this point.

Solution:
Let's calculate the interest charged on the loan amount in the first quarter:

Interest charged = (Loan amount * Interest rate) = ($1,040,000 * 0.25%) = $2,600

Quarter 1:
Loan amount after interest = Loan amount - Interest charged = $1,040,000 - $2,600 = $1,037,400
Loan amount after repayment = Loan amount after interest - Repayment amount = $1,037,400 - $40,000 = $997,400

Quarter 2:
Interest charged = ($997,400 * 0.25%) = $2,493.50
Loan amount after interest = $997,400 - $2,493.50 = $994,906.50
Loan amount after repayment = $994,906.50 - $40,000 = $954,906.50

Quarter 3:
Interest charged = ($954,906.50 * 0.25%) = $2,387.27
Loan amount after interest = $954,906.50 - $2,387.27 = $952,519.23
Loan amount after repayment = $952,519.23 - $40,000 = $912,519.23

Quarter 4:
Interest charged = ($912,519.23 * 0.25%) = $2,281.30
Loan amount after interest = $912,519.23 - $2,281.30 = $910,237.93
Loan amount after repayment = $910,237.93 - $40,000 = $870,237.93

Quarter 5:
Interest charged = ($870,237.93 * 0.25%) = $2,175.60
Loan amount after interest = $870,237.93 - $2,175.60 = $868,062.33
Loan amount after repayment = $868,062.33 - $40,000 = $828,062.33

Quarter 6:
Interest charged = ($828,062.33 * 0.25%) = $2,070.16
Loan amount after interest = $828,062.33 - $2,070.16 = $825,992.17
Loan amount after repayment = $825,992.17 - $40,000 = $785,992.17

After 6 quarters (or 18 months
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Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?a)3b)6c)9d)12e)15Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?a)3b)6c)9d)12e)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?a)3b)6c)9d)12e)15Correct answer is option 'B'. Can you explain this answer?.
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