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A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is?
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A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years ...
Calculation of Sum Invested at Different Rates
- Let the sum be x
- Compound interest for the first year at 5%: x * (1 + 5/100) = 1.05x
- Compound interest for the second year at 10%: 1.05x * (1 + 10/100) = 1.155x
- Compound interest for the third year at 20%: 1.155x * (1 + 20/100) = 1.386x
- Therefore, the amount after 3 years is 1.386x
- Given, the amount is Rs. 16632
- So, 1.386x = 16632
- x = 12000
Conclusion
- The sum invested for 3 years is Rs. 12000
Explanation
To calculate the sum invested, we need to work backwards from the amount received at the end of 3 years. We can use the formula A = P(1+r/n)^(nt) where A is the amount, P is the principal, r is the rate of interest, n is the number of times the interest is compounded per year, and t is the time period.
In this case, we have different rates of interest for each year. So, we can calculate the amount at the end of each year using the formula and then use that amount as the principal for the next year's calculation. Finally, we can add up all the amounts to get the total amount after 3 years.
Once we have the total amount, we can equate it to the given amount of Rs. 16632 and solve for the principal to get the sum invested.
Community Answer
A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years ...
Sum = 16632 X (100/105) X (100/110) X (100/120) = 12,000.
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A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is?
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A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is?.
A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum is invested for 3 years compounded at 5%,10%,20%resp in 3 years if the sum of amt to rs 16632,then sum is?.
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