In what time will a sum of ₹2,00,000amount to ₹2,31,525at 5% compound interest.
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Let the time = n years
Principle = 15000 Final amount = 24000
Half-yearly Interest rate = 5/2 = 2.5% = 0.025
Interest paying period = 2 * n = 2n
So, 24000 = 15000 * (1 + 0.025)^2n
Or, 1.025^2n = 24000/15000 = 1.6
Or, taking log on both sides,
2n log 1.025 = log 1.6
Or, n = (log 1.6 / log 1.025) * (1/2)
Or, n = 9.52 years Ans
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