Question

The simple interest on certain sum of money in 5 years is rs. 9000 the interest on rs. 12000 at same rate of interest but compound annually in 3 years is 14364 determine the amount land on simple interest

Answer 1

Answer:

the answer is approx 29,032.26

Answer 2

Given :

The simple interest on certain sum of money in 5 years is rs. 9000 the interest on rs. 12000 at same rate of interest but compound annually in 3 years is 14364

To Find :

Determine the amount land on simple interest

Solution:

Principal = 12000

Time = 3 years

Compound interest = 14364

Amount = Principal+Internet = 12000+14364=26364

$Amount = P(1+r)^t\\26364 = 12000(1+r)^3\\\frac{26364}{12000}=(1+r)^3\\\sqrt[3]{\frac{26364}{12000}}=1+r\\\sqrt[3]{\frac{26364}{12000}}-1=r\\0.3=r$

30%=r

The simple interest on certain sum of money in 5 years is rs. 9000 at same rate of interest

Time = 5 years

Rate of interest = 30%

Simple interest = 9000

$SI = \frac{P \times T \times R}{100}\\9000=\frac{P \times 5 \times 30}{100}\\\frac{9000 \times 100}{5 \times 30}=P\\6000=P$

Hence the amount land on simple interest is Rs.6000