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Mr. kalia invested a total amount of Rs. 16500 for two years in two schemes A and B with rate of simple interest 10% per annum and 12% per annum, respectively. If the total amount of interest earned was Rs.3620, what was amount invested in scheme A?
  • a)
    Rs.8000
  • b)
    Rs.8600
  • c)
    Rs.8150
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Mr. kalia invested a total amount of Rs. 16500 for two years in two sc...
% interest on total amount per annum


Hence, ratio of amount invested in schemes
A and B 
Hence, amount invested in
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Mr. kalia invested a total amount of Rs. 16500 for two years in two sc...
Problem Overview
Mr. Kalia invested Rs. 16500 in two schemes, A and B, with different interest rates. The total interest earned from both schemes after two years was Rs. 3620.
Given Data
- Total Investment: Rs. 16500
- Interest Rate for Scheme A: 10% per annum
- Interest Rate for Scheme B: 12% per annum
- Total Interest Earned: Rs. 3620
- Time Period: 2 years
Let’s Define Investments
- Let the amount invested in Scheme A be Rs. x.
- Therefore, the amount invested in Scheme B will be Rs. (16500 - x).
Calculating Interest
1. Interest from Scheme A:
- Formula: Simple Interest = Principal × Rate × Time
- Interest from A = x × (10/100) × 2 = 0.2x
2. Interest from Scheme B:
- Interest from B = (16500 - x) × (12/100) × 2 = 0.24(16500 - x)
Setting Up the Equation
The total interest earned from both schemes is given as Rs. 3620.
- 0.2x + 0.24(16500 - x) = 3620
Solving the Equation
1. Distributing 0.24:
- 0.2x + 3960 - 0.24x = 3620
2. Combining like terms:
- -0.04x + 3960 = 3620
3. Isolating x:
- -0.04x = 3620 - 3960
- -0.04x = -340
- x = 8500
Conclusion
The amount invested in Scheme A is Rs. 8500. Since this is not among the options provided (a) Rs. 8000, (b) Rs. 8600, (c) Rs. 8150, the correct answer is "None of these."
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Mr. kalia invested a total amount of Rs. 16500 for two years in two schemes A and B with rate of simple interest 10% per annum and 12% per annum, respectively. If the total amount of interest earned was Rs.3620, what was amount invested in scheme A?a)Rs.8000b)Rs.8600c)Rs.8150d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Mr. kalia invested a total amount of Rs. 16500 for two years in two schemes A and B with rate of simple interest 10% per annum and 12% per annum, respectively. If the total amount of interest earned was Rs.3620, what was amount invested in scheme A?a)Rs.8000b)Rs.8600c)Rs.8150d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Mr. kalia invested a total amount of Rs. 16500 for two years in two schemes A and B with rate of simple interest 10% per annum and 12% per annum, respectively. If the total amount of interest earned was Rs.3620, what was amount invested in scheme A?a)Rs.8000b)Rs.8600c)Rs.8150d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. kalia invested a total amount of Rs. 16500 for two years in two schemes A and B with rate of simple interest 10% per annum and 12% per annum, respectively. If the total amount of interest earned was Rs.3620, what was amount invested in scheme A?a)Rs.8000b)Rs.8600c)Rs.8150d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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