Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
Rs 42000 and Rs 40000
Step-by-step explanation:
Given that Rs 82000 is divided into two parts.
Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.
The rate of interest = 5%=0.05
The total amount after 2 years [tex]= x(1+0.05)^{2}\cdots(i)[/tex]
The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.
The total amount after 3 years [tex]= (82000-x)(1+0.05)^{3}\cdots(ii)[/tex]
As both the amounts are equal, so from equation (i) and (ii)
[tex]x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\[/tex]
x= 42000
And the other part = 82000-42000 = Rs 40000
Hence, he divides the money as
Rs 42000 at 5% per annum compound interest in 2 years and
Rs 40000 at 5% per annum compound interest in 3 years.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.