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R = 12800 (1 + r )^n this is compound interest situation. Since r
is compounded half yearly. Let us take the interest at half yearly
basis. r is interest per 6 months. in 18 months, we have half years. So interest is compoinded 3 times. so n = 3 R = 12800 + 2017.60 = principal + interest = Rs 14817.60 So 14817.60 = 12800 (1+r)³ so (1+r)³ = 14817.60 / 12800 So 1 + r = 1.05 => r = 0.05 => r = 5 % Rate for 6 months is 5% . Rate per annum will be twice that is 10%.

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R =

Since r is half yearly. so we have to take the interest at half yearly basis. r is interest per 6 months. in 18 months, we have half years. So interest is 3 times. so n = 3

R = 12800 + 2017.60 = Rs 14817.60 So 14817.60 = 12800 (1+r)³

so (1+r)³ = 14817.60 / 12800

So 1 + r = 1.05

=> r = 0.05

=> r = 5 %

Rate for 6 months is 5% so per annum = 2 x 5 = 10 %