Question

''the difference between simple and compound interest on a sum of money at 5 percent per annum is rupees 61 find the sum''
pls fast

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The difference between simple interest and compound interest is Rs. 25 . So according to formula,Simple interest is

=>I=(P×R×T)/(100)=>I=(P×R×T)/(100)

=>P=(I×100)/(R×T)=>P=(I×100)/(R×T)

Compound interest formula

=> FV = P×(1+R/100})^THere FV = P + Total Interest=> I = P×(1×R/100)^T -P

So by equating condition mentioned in question where R=5% and T=2 years and difference is 25

=>(P×R×T)/100+25=P×(1+R/100)T−P=>(P×R×T)/100+25=P×(1+R/100)T−P

=>(P×5×2)/100+25=P×(1+5/100)2−P=>(P×5×2)/100+25=P×(1+5/100)2−P

=>(10P+2500)/100=P∗(1.05)2−P=>(10P+2500)/100=P∗(1.05)2−P

=>(10P+2500)/100=0.1025P=>(10P+2500)/100=0.1025P

=>(10P+2500)=10=>(10P+2500)=10.25P25P

=>0.25P=2500=>0.25P=2500

=>P=2500/0.25=>P=2500/0.25

=>10000=>10000

Hopes that answers your question.

Edit: made mistake in calculation when multiplying 0.1025 with 100, corrected