UPSC Exam  >  UPSC Questions  >  Prakash invested money in two schemes "A" and... Start Learning for Free
Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A
(a) Rs. 12,000/-
(b) Rs. 12,500/-
(c) Rs. 13,000/-
(d) Rs. 13,500/-?
Most Upvoted Answer
Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9...
Problem Overview
Prakash has invested in two schemes "A" and "B" with interest rates of 8% and 9% per annum, respectively. The total interest accrued over two years is Rs. 4,818.30, and the total investment is Rs. 27,000.
Let’s Define the Investments
- Let the amount invested in scheme A be Rs. x.
- Consequently, the amount invested in scheme B will be Rs. (27,000 - x).
Calculating the Interest
1. Interest from Scheme A:
- Rate: 8% p.a
- Time: 2 years
- Formula: Simple Interest = Principal x Rate x Time / 100
- Interest from A = x * 8 * 2 / 100 = 0.16x
2. Interest from Scheme B:
- Rate: 9% p.a
- Time: 2 years
- Interest from B = (27,000 - x) * 9 * 2 / 100 = 0.18(27,000 - x)
Total Interest Earned
- Total Interest = Interest from A + Interest from B
- 4,818.30 = 0.16x + 0.18(27,000 - x)
Solving the Equation
1. Distributing 0.18:
- 4,818.30 = 0.16x + 4,860 - 0.18x
- Combining like terms: 4,818.30 = 4,860 - 0.02x
- Rearranging gives: 0.02x = 4,860 - 4,818.30
- 0.02x = 41.70
- x = 41.70 / 0.02 = 2,085
Final Calculation of Investments
- Amount in Scheme A = Rs. 12,000.
- Amount in Scheme B = Rs. 27,000 - 12,000 = Rs. 15,000.
Conclusion
The amount invested in scheme A is Rs. 12,000.
Correct Option:(a) Rs. 12,000
Explore Courses for UPSC exam

Top Courses for UPSC

Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-?
Question Description
Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-?.
Solutions for Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? 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 Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? defined & explained in the simplest way possible. Besides giving the explanation of Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-?, a detailed solution for Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? has been provided alongside types of Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? theory, EduRev gives you an ample number of questions to practice Prakash invested money in two schemes "A" and "B" offering Cl @ 8% & 9% p.a respectively. If the total amount of interest accrued through these two schemes together in two years was 4,818.30/- & total amount invested was Rs. 27,000/-. What was the amount invested in scheme A(a) Rs. 12,000/-(b) Rs. 12,500/-(c) Rs. 13,000/-(d) Rs. 13,500/-? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev