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Two sums of ₹40000 each are invested on the same day — one at 20% per annum compounded annually for 2 years, the other at 10% per annum compounded annually for 4 years. The difference between the two maturity amounts (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A0
  • B1600
  • C2564
  • D964

Step-by-Step Solution

First: = ₹57600. Second: = ₹58564. Difference ₹964, in favour of the longer, gentler investment. (Under SIMPLE interest both would earn 40% of ₹40000 = ₹16000 and the answer would be ₹0 — that is the trap, because halving a rate and doubling the time keeps SI unchanged but not CI, which rewards the extra compoundings. ₹1600 and ₹2564 are how far each investment beats plain simple interest, not the gap between them.)
Answer: D) 964

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