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What is the rate of interest percentage per annum? I. An amount of ₹ 6200 fetches simple interest of ₹ 1736 in 2 yr. II. An amount of ₹ 4500 fetches compound interest of ₹ 1348.20 in 2 yr.

Correct Answer: if the data in either Statement I alone or in statement II alone are sufficient to answer the question

Explanation:

From Statement I,
R = (SI x 100) / (P x T)
⇒ (1736 x 100)/(6200 x 2) = 14%
From Statement II,
1348.2 4500(1 + r/100)2 - 4500
⇒ 1348.2 + 4500 = 4500(1 + r/100)2
⇒ 5848.2 = 4500((1 + r/100)2
⇒ 5848.2/4500 = (1 + r/100)2
⇒ 3249/2500 = (1 + r/100)2
⇒ (57/50)2 = (1 + r/100)2
⇒ 1 + r/100 = 57/50
⇒ r/100 = 57/50 - 1 = 7/50
⇒ r = 7 x 100/50
∴ r = 14%
Both statement are alone sufficient.


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