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Find the compound interest on 1,200 at 12% p.a. for 6 months compounded quarterly.
Question

Find the compound interest on 1,200 at 12% p.a. for 6 months compounded quarterly.

A.

Rs. 74.08

B.

Rs.72.08

C.

Rs.73.08

D.

Rs.71.08

Correct option is C

Given:

P = Rs. 1200

r = 12%

t = 6 months

Formula Used:

CI = P [(1 + r/100)t– 1]

If interest compounded quarterly, then

r = 12/4 = 3%

t = 6/12 × 4 = 2 years

Solution:

CI = P [(1 + r/100)t– 1]

=> CI = 1200[(1 + 3/100)2– 1]

=> CI = 1200 × [103/100 × 103/100 – 1]

=> CI = 1200 × (10609 – 10000)/10000

=> CI = 1.2 × 609/10

=> CI = Rs. 73.08

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