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At what annual rate of compound interest will Rs. 1200 amount to Rs. 1348.32 in 2 years?

Difficulty: Easy

Correct Answer: 6% p.a.

Explanation:

Problem restatement
Find r such that 1200(1 + r)2 = 1348.32.


Given data

  • P = 1200; A = 1348.32; t = 2 years

Concept/Approach
Solve for r from (1 + r)2 = A÷P.


Step-by-step calculation
(1 + r)2 = 1348.32 ÷ 1200 = 1.12361 + r = √1.1236 = 1.06r = 0.06 = 6% p.a.


Common pitfalls
Taking r = 12.36% (the two-year growth) without extracting the square root.

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