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Two brothers each invest ₹25000 for three years — one at 12% per annum simple interest, the other at 10% per annum compounded annually. At the end of the three years, how much more (in ₹) does the first brother receive than the second?

Competition practiceRatio, Percentage & Commercial Math
  • A1500
  • B1848
  • C500
  • D725

Step-by-Step Solution

Simple interest: ₹9000. Compound interest: = ₹8275. The first brother is ahead by 9000 − 8275 = ₹725. Comparing the two SIMPLE interests, ₹9000 against ₹7500, gives ₹1500 and forgets the compounding; comparing the two COMPOUND amounts gives ₹1848; and ₹500 is only the 2% gap for a single year.
Answer: D) 725

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