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Two equal sums of money are lent on the same day, one at 8% per annum simple interest for 5 years and the other at 10% per annum simple interest for 3 years. Together they earn ₹4900 in interest. Each sum (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A12250
  • B14000
  • C7000
  • D3500

Step-by-Step Solution

One rupee earns in the first loan and in the second, so each sum satisfies and = ₹7000. ₹14000 is the two sums TOGETHER, ₹12250 comes from crediting the whole ₹4900 to the 8%-for-5-years loan alone, and ₹3500 halves the correct answer once more.
Answer: C) 7000

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