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A self-help group lends ₹7000 to a member at 10% per annum simple interest, to be repaid in two equal annual instalments, the first falling due one year after the loan. Each instalment (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A4000
  • B3500
  • C4200
  • D3850

Step-by-Step Solution

Bring everything to the end of year 2. The debt then stands at = ₹8400. The first instalment, paid a year earlier, is worth by then and the second is worth , so → → = ₹4000. (Splitting the loan in half at ₹3500 charges no interest at all, and ₹4200 halves the ₹8400 as though both instalments were paid on the last day.)
Answer: A) 4000

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