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In how many years, Rs. 80,000 will become Rs. 92,610 at 10% per annum interest compounded half yearly?
Question

In how many years, Rs. 80,000 will become Rs. 92,610 at 10% per annum interest compounded half yearly?

A.

3 years

B.

2 years

C.

1½ years

D.

1 year

Correct option is C


Given: Principal (P) = Rs. 80,000, Amount (A) = Rs. 92,610, Rate of interest (R) = 10% per annum compounded half-yearly.
Formula Used: For compound interest compounded half-yearly:

Where:
· n = number of years
· R = rate of interest per annum
Solution:


Hence, 2n=3, so n=3/2=1.5 years

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