Find the interest after 3 year if the interest is being compounded yearly? Statement I: a sum becomes double in 8 year on simple interest. Statement II: on the same principal at the same rate of interest the interest is being compounded yearly is 425 rupee in two years Statement III: the principal amount is 1600 rupees.
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Any two
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I and II
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I and II or III
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Only I
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None of these
A
Correct answer
Explanation
Statement I gives rate (doubling in 8 years on SI → r = 100/8 = 12.5%). Statement II: CI for 2 years = 425 at same rate, so P[(1+r/100)² - 1] = 425 → P = 425/0.2656 ≈ 1600. Statement III gives P = 1600. With I and II we get both r and P → can find CI for 3 years. With I and III we get r and P → same. With II and III we can derive r from P. So any two statements are sufficient. The answer key says A (Any two) which is correct.