UPSC Exam > UPSC Questions > ₹8,829 is invested into three different secto...
Start Learning for Free
₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.?
Most Upvoted Answer
₹8,829 is invested into three different sectors in such a way that the...
Calculation of Investment in Three Different Sectors
- Let the investments in the three sectors be x, y, and z respectively.
Formulas Used
- The formula for calculating simple interest is: \(SI = \frac{P \times R \times T}{100}\)
- Given that the amounts at 4% p.a. after 5, 6, and 8 years are equal, we can set up the following equations:
\[
x \times 1.04^5 = y \times 1.04^6 = z \times 1.04^8
\]
Calculating the Amounts at the End of 5, 6, and 8 Years
- Using the formula for amount: \(A = P + SI\)
- The amounts at the end of 5, 6, and 8 years can be calculated as follows:
- For x: \(x(1 + 0.04 \times 5) = x \times 1.04^5\)
- For y: \(y(1 + 0.04 \times 6) = y \times 1.04^6\)
- For z: \(z(1 + 0.04 \times 8) = z \times 1.04^8\)
Equating the Amounts
- Since the amounts at the end of 5, 6, and 8 years are equal, we have:
- \(x \times 1.04^5 = y \times 1.04^6 = z \times 1.04^8\)
Solving the Equations
- From the above equation, we get:
- \(x = \frac{1.04^8}{1.04^5} \times z\)
- \(y = \frac{1.04^8}{1.04^6} \times z\)
Substitute and Solve
- Substituting the values of x and y in terms of z into the total investment equation:
- \(x + y + z = ₹8,829\)
- \(\frac{1.04^8}{1.04^5} \times z + \frac{1.04^8}{1.04^6} \times z + z = ₹8,829\)
- Solve the above equation to find the individual investments in each sector.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.?
Question Description
₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.?.
₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.?.
Solutions for ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? defined & explained in the simplest way possible. Besides giving the explanation of
₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.?, a detailed solution for ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? has been provided alongside types of ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? theory, EduRev gives you an
ample number of questions to practice ₹8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup