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      Question

      A certain sum amounts to ₹13200 after 4 years and to

      ₹16400 after 8 years at the same rate percent p.a. at simple interest. The simple interest (in ₹) on the same sum at 10% p.a. for 3(1/5) years will be:
      A 2400 Correct Answer Incorrect Answer
      B 2800 Correct Answer Incorrect Answer
      C 3200 Correct Answer Incorrect Answer
      D 2000 Correct Answer Incorrect Answer

      Solution

      A s we know in simple interest the interest is always constant if the rate and sum are the same So, Interest for 4 years = 16400 - 13200 ⇒ Rs. 3200 So, for the 1st 4 years, the interest will be Rs. 3200 [As mentioned earlier interest will be the same] So, sum = 13200 - 3200 ⇒ Rs. 10000 Now, S.I = (10000 × 10 × 16)/ (100 × 5) ⇒ 100 × 2 × 16 ⇒ Rs. 3200 ∴ The simple interest (in Rs.) on the same sum at 10% p.a. for 3(1/5) years will be 3200.

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