Question

find the difference between the c.i and s.i on a sum of 50000 at 10% per annum for 2 years​

Answer 1

✳ P = 50000, R = 10%, T = 2 years

C. I. :-

$amount = p(1 + \frac{r}{100} )^{t}$

$50000 \: (1 + \frac{10}{100} )^{2} \\ \\ 50000 \: ( 1 + \frac{1}{100} ) ^{2} \\ \\ 50000 \: ( \frac{101}{100} )^{2} \\ \\ 50000 \times \frac{101}{100} \times \frac{101}{100} = 51005$

So, the amount is ₹51005

C.I. = AMOUNT - PRINCIPAL

$51005 - 50000 = 1005$

Hence, the C. I. is ₹1005

S.I. :-

$s.i. = \frac{prt}{100}$

$\frac{50000 \times 10 \times 2}{100} = 10000$

So, the S. I. is ₹10000

Diff. between S. I. & C. I. =

S.I. - C.I. =

$10000 - 1005 = 8995$

Hence, the difference is 8995.

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