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A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is?
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A man invest 12000at 10%p.a and another sum of money at20%p.a for one ...
To determine the total investment, we can follow a systematic approach using the given interest rates and amounts.
Total Investment Calculation
1. Investment at 10% p.a
- Amount = 12,000
- Interest Rate = 10%
2. Total Interest Earned
- The total investment earns an interest of 14% p.a. for one year.
- Let the second investment amount be x.
- Total investment = 12,000 + x
3. Interest Formulas
- Interest from the first investment = 12,000 * (10/100) = 1,200
- Interest from the second investment = x * (20/100) = 0.2x
4. Combined Interest
- Total interest from both investments = 1,200 + 0.2x
- Total interest at 14% on total investment = (12,000 + x) * (14/100) = 1,680 + 0.14x
Setting Up the Equation
- To find x, we set the total interest from both investments equal to the interest calculated at 14%:
1,200 + 0.2x = 1,680 + 0.14x
Solve for x
- Rearranging gives us:
1,200 - 1,680 = 0.14x - 0.2x
-480 = -0.06x
x = 8,000
Total Investment
- Now, we can find the total investment:
Total investment = 12,000 + 8,000 = 20,000
Conclusion
- The total investment is 20,000.
- This includes 12,000 at 10% and 8,000 at 20%. The effective interest rate achieved is 14% p.a. on the total investment.
Total Investment Calculation
1. Investment at 10% p.a
- Amount = 12,000
- Interest Rate = 10%
2. Total Interest Earned
- The total investment earns an interest of 14% p.a. for one year.
- Let the second investment amount be x.
- Total investment = 12,000 + x
3. Interest Formulas
- Interest from the first investment = 12,000 * (10/100) = 1,200
- Interest from the second investment = x * (20/100) = 0.2x
4. Combined Interest
- Total interest from both investments = 1,200 + 0.2x
- Total interest at 14% on total investment = (12,000 + x) * (14/100) = 1,680 + 0.14x
Setting Up the Equation
- To find x, we set the total interest from both investments equal to the interest calculated at 14%:
1,200 + 0.2x = 1,680 + 0.14x
Solve for x
- Rearranging gives us:
1,200 - 1,680 = 0.14x - 0.2x
-480 = -0.06x
x = 8,000
Total Investment
- Now, we can find the total investment:
Total investment = 12,000 + 8,000 = 20,000
Conclusion
- The total investment is 20,000.
- This includes 12,000 at 10% and 8,000 at 20%. The effective interest rate achieved is 14% p.a. on the total investment.
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A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is?
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A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is?.
A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man invest 12000at 10%p.a and another sum of money at20%p.a for one year the total investment earns at 14% p. a simple interest at total investment is?.
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