the compound interest compounded annually on a certain sum is rs 29040 in second year and is rs 31944in third year calculate the rate and interest for 1st and 4th year
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The compound interest, calculated yearly, on a certain sum of money for the 2nd year is Rs 880 and for the 3rd year is Rs 968. What is the annual rate of interest and the original money?
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Let, P be the principal amount and r% be the rate of compound interest.
P*[{1 + (r / 100)}^2 - {1 + (r / 100)}] = 880 ……(I)
P*[{1 + (r / 100)}^3 - {1 + (r / 100)}^2] = 968 …(II)
(II) / (I) gives:
{1 + (r / 100)} = 1.1
(r / 100) = 0.1
r = 10
Rate of compound interest = 10%.
P*{(1.1)*(1.1) - 1.1} = 880
P*(1.21 - 1.1) = 880
P*(0.11) = 880
P = 8000.
Principal amount = 8000 rupees
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