a sum of money invested for 2 years at rate of 12% per annum compounded annually if it was invested at simple interest , the interest would be rs. 72 less than the compound interest find the sum of money
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Answer:
5000 Rs
Step-by-step explanation:
Compound Interest
{ \tt \pink {A \: = p \times{ (1 + \frac{12}{100} ) }^{2} }}A=p×(1+10012)2
{ \tt \pink {A \: = p \times{ (1 + \frac{12}{100} ) }^{2} - p }}A=p×(1+10012)2−p
Simple interest
\tt \pink { i = \frac{p \times t \times r}{100} }i=100p×t×r
Difference is 72
{ \tt \pink {A \: = p \times{ (1 + \frac{12}{100} ) }^{2} - p - \frac{p \times t \times r}{100} = 72 }}A=p×(1+10012)2−p−100p×t×r=72
\tt \green {p = 5000 \: rs }p=5000rs
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