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The simple interest on a sum of money for 2 years at 6½ % per annum is rs 5200. What will be the compound interest on the same sum at the same rate for the same period, compounded annually?# for Mods and stars only# no spam please​

Answer»

ANSWER:

Compound INTEREST = Rs. 5369

Step-by-step explanation:

SI = Rs. 5200

N = 2 years

R = 6.5 p.c.p.a

i \:  =  \frac{p \times n \times r}{100}

5200 =  \frac{p \times 2 \times 6.5}{100}

\frac{5200 \times 100}{2 \times 6.5}  = p

40000 = p

P = Rs. 40000

a \:  = p \times (1 +  \frac{r}{100} )

a = amount at the end of 2 years, if COMPOUNDED annually

a \:  = 40000 \times ( 1 + \frac{6.5}{100} ) ^{2}

a \:  = 40000 \times ( \frac{100 + 6.5}{100} ) ^{2}

a \:  = 40000 \times ( \frac{106.5}{100} ) ^{2}

a \:  = 40000 \times  \frac{106.5}{100}  \times  \frac{106.5}{100}

a = Rs. 45369

CI = a - p

= 45369 - 40000

CI = Rs. 5369

I hope it HELPS...



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