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Rs. 9000 is lent at the rate of 80 percent per annum on compound interest (compounded half yearly). What will be the compound interest of 12 months?
Question

Rs. 9000 is lent at the rate of 80 percent per annum on compound interest (compounded half yearly). What will be the compound interest of 12 months?

A.

Rs. 9000

B.

Rs. 8760

C.

Rs. 8700

D.

Rs. 8640

Correct option is D


Given:
Principal (P) = Rs. 9000
Rate of Interest (R) = 80% per annum
Time (T) = 12 months (1 year)
Formula Used:
A = P(1 + R/n)^(nt)
Compound Interest (CI) = A - P
Solution:
Half yearly rate = 80%/2 = 40%
A = 9000(1 + 40/100)2 = 17640
CI = 17640 – 9000 = 8640

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