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Rita invested a sum at 2.5% rate for 4 years. Sita invested the same amount at the same rate for 6 years. What is the ratio of the simple interest earned by Sita to that earned by Rita?

Question and options

Rita invested a sum at 2.5% rate for 4 years. Sita invested the same amount at the same rate for 6 years. What is the ratio of the simple interest earned by Sita to that earned by Rita?
  1. 3 : 2
  2. 2 : 3
  3. 1 : 3
  4. 1 : 4

Answer and explanation

Correct answer: A - 3 : 2
Simple interest = PRT/100, so with the same principal and rate it is proportional to time. Sita : Rita = 6 : 4 = 3 : 2; the ratio 2 : 3 is Rita's interest to Sita's, the reverse of what is asked.

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