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Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal?
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Divide 6305 into three parts such that their amounts at 5% compound in...
Calculating Equal Compound Interest on Three Parts
1. Let the three parts be x, y, and z.
2. Given total amount is 6305.
3. So, x + y + z = 6305.
Calculating Compound Interest for each part:
1. Amount after 2 years:
- Amount for x after 2 years = x(1 + 0.05)^2.
- Amount for y after 2 years = y(1 + 0.05)^2.
- Amount for z after 2 years = z(1 + 0.05)^2.
2. Amount after 3 years:
- Amount for x after 3 years = x(1 + 0.05)^3.
- Amount for y after 3 years = y(1 + 0.05)^3.
- Amount for z after 3 years = z(1 + 0.05)^3.
3. Amount after 4 years:
- Amount for x after 4 years = x(1 + 0.05)^4.
- Amount for y after 4 years = y(1 + 0.05)^4.
- Amount for z after 4 years = z(1 + 0.05)^4.
Equating the amounts:
1. x(1 + 0.05)^2 = y(1 + 0.05)^3 = z(1 + 0.05)^4 = K (say)
2. Let's assume K = A, then x/y/z = A/(1.05)^2 : A/(1.05)^3 : A/(1.05)^4
3. Therefore, x/y/z = 400 : 441 : 484
Solving the equations:
1. Let x = 400k, y = 441k, z = 484k
2. Substituting in x + y + z = 6305
3. We get, k = 5
4. Therefore, x = 2000, y = 2205, z = 2400
Therefore, the three parts should be 2000, 2205, and 2400 respectively.
1. Let the three parts be x, y, and z.
2. Given total amount is 6305.
3. So, x + y + z = 6305.
Calculating Compound Interest for each part:
1. Amount after 2 years:
- Amount for x after 2 years = x(1 + 0.05)^2.
- Amount for y after 2 years = y(1 + 0.05)^2.
- Amount for z after 2 years = z(1 + 0.05)^2.
2. Amount after 3 years:
- Amount for x after 3 years = x(1 + 0.05)^3.
- Amount for y after 3 years = y(1 + 0.05)^3.
- Amount for z after 3 years = z(1 + 0.05)^3.
3. Amount after 4 years:
- Amount for x after 4 years = x(1 + 0.05)^4.
- Amount for y after 4 years = y(1 + 0.05)^4.
- Amount for z after 4 years = z(1 + 0.05)^4.
Equating the amounts:
1. x(1 + 0.05)^2 = y(1 + 0.05)^3 = z(1 + 0.05)^4 = K (say)
2. Let's assume K = A, then x/y/z = A/(1.05)^2 : A/(1.05)^3 : A/(1.05)^4
3. Therefore, x/y/z = 400 : 441 : 484
Solving the equations:
1. Let x = 400k, y = 441k, z = 484k
2. Substituting in x + y + z = 6305
3. We get, k = 5
4. Therefore, x = 2000, y = 2205, z = 2400
Therefore, the three parts should be 2000, 2205, and 2400 respectively.
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Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal?
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Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal?.
Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 6305 into three parts such that their amounts at 5% compound interest per annum in 2, 3 and 4 years respectively may all be equal?.
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