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A moneylender lent $2000 to Ricky with the condition that Ricky will pay back 5 percent of this amount every half year. Till Ricky repaid the original loan amount (principal) completely, the moneylender charged an interest equal to 5 percent per quarter on the original loan amount. Ricky always made interest payments and principal repayments on time. (For example, at the end of the first quarter, Ricky paid the moneylender 5 percent of $2000 as interest and at the end of 6 months, Ricky paid the money lender 5 percent of $2000 as interest and 5 percent of $2000 as principal repayment). What was the total amount in dollars that Ricky paid to the moneylender?
  • a)
    2000
  • b)
    4000
  • c)
    5000
  • d)
    6000
  • e)
    8000
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A moneylender lent $2000 to Ricky with the condition that Ricky will p...
Given:
  • Amount lent = $2000
  • Repayment = 5% of the amount lent every 6 months
    • Repayment amount = 5% of $2000 = $100 every 6 months
  • Interest charged = 5% per every 3 months on $2000
    • Interest charged = 5% of $2000 = $100 every 3 months
To Find: Total amount paid to the money lender?
Approach:
  1. Total amount paid to the moneylender = Principal Repaid + Interest paid
    • We know Principal Repaid = $2000
  2. For finding the total interest paid, we need to find the time period for which the interest was paid
    • Since the rate of interest is given per quarter, we need to express the time period too in terms of quarters.
  3. Now, the time period for which the interest was paid is equal to the time for which Repayments of the principal were done.
    • As $100 of the principal was repaid every 6 months (that is, half-year), we can find the number of half-years takentime taken to pay the total principal
      • (Number of half-years)=(Total Principal to be Repaid)/(Repayment done per half-year)
      • So, (Number of quarters taken to complete repayment) = 2(Number of half-years)
Working out:
  1. Total principal to be paid = $2000
    • Principal paid every half year = $100
    • So, it will take half years to pay back $2000
  2. 20 half years = 40 quarters
    • Interest paid in 1 quarter = $100
    • Interest paid in 40 quarters = 40 * 100 = $4000
  3. Total amount paid = $2000 + $4000 = $6000
Hence, Ricky paid a total amount of $6000 to the money lender including the principal and the interest.
Answer : D
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A moneylender lent $2000 to Ricky with the condition that Ricky will pay back 5 percent of this amount every half year. Till Ricky repaid the original loan amount (principal) completely, the moneylender charged an interest equal to 5 percent per quarter on the original loan amount. Ricky always made interest payments and principal repayments on time. (For example, at the end of the first quarter, Ricky paid the moneylender 5 percent of $2000 as interest and at the end of 6 months, Ricky paid the money lender 5 percent of $2000 as interest and 5 percent of $2000 as principal repayment). What was the total amount in dollars that Ricky paid to the moneylender?a)2000b)4000c)5000d)6000e)8000Correct answer is option 'D'. Can you explain this answer?
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A moneylender lent $2000 to Ricky with the condition that Ricky will pay back 5 percent of this amount every half year. Till Ricky repaid the original loan amount (principal) completely, the moneylender charged an interest equal to 5 percent per quarter on the original loan amount. Ricky always made interest payments and principal repayments on time. (For example, at the end of the first quarter, Ricky paid the moneylender 5 percent of $2000 as interest and at the end of 6 months, Ricky paid the money lender 5 percent of $2000 as interest and 5 percent of $2000 as principal repayment). What was the total amount in dollars that Ricky paid to the moneylender?a)2000b)4000c)5000d)6000e)8000Correct answer is option 'D'. 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 A moneylender lent $2000 to Ricky with the condition that Ricky will pay back 5 percent of this amount every half year. Till Ricky repaid the original loan amount (principal) completely, the moneylender charged an interest equal to 5 percent per quarter on the original loan amount. Ricky always made interest payments and principal repayments on time. (For example, at the end of the first quarter, Ricky paid the moneylender 5 percent of $2000 as interest and at the end of 6 months, Ricky paid the money lender 5 percent of $2000 as interest and 5 percent of $2000 as principal repayment). What was the total amount in dollars that Ricky paid to the moneylender?a)2000b)4000c)5000d)6000e)8000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A moneylender lent $2000 to Ricky with the condition that Ricky will pay back 5 percent of this amount every half year. Till Ricky repaid the original loan amount (principal) completely, the moneylender charged an interest equal to 5 percent per quarter on the original loan amount. Ricky always made interest payments and principal repayments on time. (For example, at the end of the first quarter, Ricky paid the moneylender 5 percent of $2000 as interest and at the end of 6 months, Ricky paid the money lender 5 percent of $2000 as interest and 5 percent of $2000 as principal repayment). What was the total amount in dollars that Ricky paid to the moneylender?a)2000b)4000c)5000d)6000e)8000Correct answer is option 'D'. Can you explain this answer?.
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