Question

the simple interest on a certain sum of money for 2 year and 10% per annum is rupees 1600 find the amount due and the compound interest on this sum of money at the same rate after 3 year interest being reckoned anomaly ​

Answer 1

Given :-

Simple interest -

Time - 2 years .

Rate - 10 %

SI = 1600 rupees.

Compound interest

Compounded annually .

Time = 3 years .

Rate = 10 %.

To Find -

Amount after adding simple interest .

Amount after compound interest .

Solution -

$\boxed{\sf{ S.I = \frac{P.R.T}{100} }}$

$\sf{\implies 1600 = \frac{P. 10. 2}{100} }$

$\sf{\implies 1600 = \frac{\cancel{20} P }{\cancel{100}} }$

$\sf{\implies 1600 = \frac{P}{5} }$

$\sf{\implies 1600 \times 5 = P }$

$\sf{\implies 8000 = Principal \: amount }$

Amount after adding simple interest -

$\sf{\implies Amount = 8000 + 1600 }$

$\underline{\underline{\sf{\implies Amount = 9600}} }$

Compound interest -

$\boxed{\sf{\implies C.I = P \times [ 1 +{ ( \frac{R}{100})}^ {n} ] }}$

$\sf{\implies C.I = 8000 \times [ 1 +{ ( \frac{10}{100})}^ {3} ] }$

$\sf{\implies C.I = 8000 \times { ( \frac{11}{10})}^ {3} }$

$\sf{\implies C.I = 8000 \times \frac{11 \times 11 \times 11 }{10 \times 10 \times 10} }$

$\boxed{\sf{\implies C.I = 8 \times 1331 }}$

$\underline{\underline{\sf{\implies Amount = 10648}} }$

Answer 2

for solution and answer please refer to the given image