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8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum?
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8829 is invested into three different sectors in such a way that their...
Strategy:
To solve this problem, we will first set up equations based on the given conditions and then solve them to find the individual amounts invested in each sector.
Given:
Total amount invested = $8829
Rate of interest = 4%
Time periods = 5 years, 6 years, 8 years
Let x, y, and z be the amounts invested in the three sectors respectively.
Setting up Equations:
The formula for Simple Interest is:
SI = P * R * T / 100
Based on the given conditions, we can set up the following equations:
1. x * 4 * 5 / 100 = y * 4 * 6 / 100 = z * 4 * 8 / 100
2. x + y + z = 8829
Solving the Equations:
From equation 1, we get:
5x = 6y = 8z
=> x = 6y / 5 and x = 8z / 5
Substitute x in the total amount equation:
6y / 5 + y + 8z / 5 = 8829
11y + 8z = 44145
Since x, y, and z are in the ratio 5:6:8, we can assume y = 6k.
Substitute y = 6k in the equation:
11(6k) + 8(8k) = 44145
66k + 64k = 44145
130k = 44145
k = 339
Calculating the Amounts:
x = 6y / 5 = 6(6k) / 5 = 72(339) / 5 = 4888.8
y = 6k = 6(339) = 2034
z = 8y / 5 = 8(339) / 5 = 5421.6
Therefore, the amounts invested in the three sectors are:
Sector 1: $4888.8
Sector 2: $2034
Sector 3: $5421.6
This solution ensures that the amounts invested in each sector will yield equal Simple Interest after 5, 6, and 8 years at 4% per annum.
To solve this problem, we will first set up equations based on the given conditions and then solve them to find the individual amounts invested in each sector.
Given:
Total amount invested = $8829
Rate of interest = 4%
Time periods = 5 years, 6 years, 8 years
Let x, y, and z be the amounts invested in the three sectors respectively.
Setting up Equations:
The formula for Simple Interest is:
SI = P * R * T / 100
Based on the given conditions, we can set up the following equations:
1. x * 4 * 5 / 100 = y * 4 * 6 / 100 = z * 4 * 8 / 100
2. x + y + z = 8829
Solving the Equations:
From equation 1, we get:
5x = 6y = 8z
=> x = 6y / 5 and x = 8z / 5
Substitute x in the total amount equation:
6y / 5 + y + 8z / 5 = 8829
11y + 8z = 44145
Since x, y, and z are in the ratio 5:6:8, we can assume y = 6k.
Substitute y = 6k in the equation:
11(6k) + 8(8k) = 44145
66k + 64k = 44145
130k = 44145
k = 339
Calculating the Amounts:
x = 6y / 5 = 6(6k) / 5 = 72(339) / 5 = 4888.8
y = 6k = 6(339) = 2034
z = 8y / 5 = 8(339) / 5 = 5421.6
Therefore, the amounts invested in the three sectors are:
Sector 1: $4888.8
Sector 2: $2034
Sector 3: $5421.6
This solution ensures that the amounts invested in each sector will yield equal Simple Interest after 5, 6, and 8 years at 4% per annum.
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8829 is invested into three different sectors in such a way that their...
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8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum?
Question Description
8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum? 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 8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum?.
8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum? 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 8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8829 is invested into three different sectors in such a way that their amount at 4% pa SI after 5 years,6years,and 8years are equal .Find each part of the sum?.
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