The difference between compound interest and simple interest at 5% per annum in 2 years is 30. Find the sum.
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Answer:
SI = PRT / 100
SI = P * 5 * 2 / 100
SI = P / 10
And
A = P * (1 + 5/100) ^ 2
A = P * (21/20) ^ 2
A = 441P / 400
CI = A - P
=> 441 P/400 - p
=> 441 P-400 P/400
=> 41 P/400
=> CI- SI = Rs 30
=> 41 P/400 - p/100 = 30
=> 41 P - 40 P = 30
=> P/100 = 30
=> P = 400 x 30
=> Rs 12000
.°. Sum is ₹12000.
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