UPSC Exam > UPSC Questions > Mr.Ram invested a total of 1,00,000/- in two ...
Start Learning for Free
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?
(a) Rs. 52,500/- & Rs. 47,500/-
(b) Rs. 62,500/- & Rs. 37,500/-
(c) Rs. 57,500/- & Rs. 42,500/-
(d) Rs. 67,500/- & Rs. 32,500/?
(a) Rs. 52,500/- & Rs. 47,500/-
(b) Rs. 62,500/- & Rs. 37,500/-
(c) Rs. 57,500/- & Rs. 42,500/-
(d) Rs. 67,500/- & Rs. 32,500/?
Most Upvoted Answer
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest....
Problem Overview
Mr. Ram has invested a total of Rs. 1,00,000 in two banks with different interest rates. The task is to find the amounts invested in each bank given the total interest accrued.
Given Information
- Total Investment = Rs. 1,00,000
- Interest from Bank 1 (9% p.a) = x
- Interest from Bank 2 (11% p.a) = y
- Total Interest Rate = 9.75% p.a
Setting Up the Equations
1. The total investment equation:
- x + y = 1,00,000
2. The total interest equation after one year:
- (0.09x + 0.11y) = 0.0975 * 1,00,000
Simplifying gives:
- 0.09x + 0.11y = 9,750
Substituting for y
From the total investment equation:
- y = 1,00,000 - x
Substituting into the interest equation:
- 0.09x + 0.11(1,00,000 - x) = 9,750
Simplification
1. Distributing the 0.11:
- 0.09x + 11,000 - 0.11x = 9,750
2. Combining like terms:
- -0.02x + 11,000 = 9,750
3. Solving for x:
- -0.02x = 9,750 - 11,000
- -0.02x = -1,250
- x = 62,500
Finding y
Substituting x back into the equation for y:
- y = 1,00,000 - 62,500 = 37,500
Final Amounts Invested
- Amount in Bank 1 (9% p.a) = Rs. 62,500
- Amount in Bank 2 (11% p.a) = Rs. 37,500
Conclusion
The amounts invested in the banks are:
- Bank 1: Rs. 62,500
- Bank 2: Rs. 37,500
Hence, the correct option is (b) Rs. 62,500/- & Rs. 37,500/-.
Mr. Ram has invested a total of Rs. 1,00,000 in two banks with different interest rates. The task is to find the amounts invested in each bank given the total interest accrued.
Given Information
- Total Investment = Rs. 1,00,000
- Interest from Bank 1 (9% p.a) = x
- Interest from Bank 2 (11% p.a) = y
- Total Interest Rate = 9.75% p.a
Setting Up the Equations
1. The total investment equation:
- x + y = 1,00,000
2. The total interest equation after one year:
- (0.09x + 0.11y) = 0.0975 * 1,00,000
Simplifying gives:
- 0.09x + 0.11y = 9,750
Substituting for y
From the total investment equation:
- y = 1,00,000 - x
Substituting into the interest equation:
- 0.09x + 0.11(1,00,000 - x) = 9,750
Simplification
1. Distributing the 0.11:
- 0.09x + 11,000 - 0.11x = 9,750
2. Combining like terms:
- -0.02x + 11,000 = 9,750
3. Solving for x:
- -0.02x = 9,750 - 11,000
- -0.02x = -1,250
- x = 62,500
Finding y
Substituting x back into the equation for y:
- y = 1,00,000 - 62,500 = 37,500
Final Amounts Invested
- Amount in Bank 1 (9% p.a) = Rs. 62,500
- Amount in Bank 2 (11% p.a) = Rs. 37,500
Conclusion
The amounts invested in the banks are:
- Bank 1: Rs. 62,500
- Bank 2: Rs. 37,500
Hence, the correct option is (b) Rs. 62,500/- & Rs. 37,500/-.
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
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/?
Question Description
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/?.
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/?.
Solutions for Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? 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 Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? defined & explained in the simplest way possible. Besides giving the explanation of
Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/?, a detailed solution for Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? has been provided alongside types of Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? theory, EduRev gives you an
ample number of questions to practice Mr.Ram invested a total of 1,00,000/- in two banks for fixed interest. The first bank yields as interest of 9% p.a & 2nd bank yield 11% p.a. If the total interest at the end of one year is 9.75% p.a, then the amount invested in these banks respectively?(a) Rs. 52,500/- & Rs. 47,500/-(b) Rs. 62,500/- & Rs. 37,500/-(c) Rs. 57,500/- & Rs. 42,500/-(d) Rs. 67,500/- & Rs. 32,500/? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
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