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28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum
(a) 22443
(b) ₹3082.8
(c) 22970
(d) ₹3069?
(a) 22443
(b) ₹3082.8
(c) 22970
(d) ₹3069?
Most Upvoted Answer
28,829 is invested into three different sectors pa. S.1. after 5 years...
Understanding the Problem:
The total investment is ₹28,829 and it is divided into three sectors. After 5 years, the investment in each sector becomes equal.
Calculating the Investment in Each Sector:
Let the initial investments in the three sectors be x, y, and z respectively.
After 5 years, the investments become x(1+r)^5, y(1+r)^5, and z(1+r)^5, where r is the rate of interest.
Given that x(1+r)^5 = y(1+r)^5 = z(1+r)^5
So, x = y = z
Therefore, the initial investment is divided equally into three sectors.
Calculate the Initial Investment in Each Sector:
Let the initial investment in each sector be a.
So, a + a + a = ₹28,829
3a = ₹28,829
a = ₹9,609.67
Calculating the Final Amount in Each Sector:
After 5 years, the final amount in each sector is a(1+r)^5.
Given that a(1+r)^5 = ₹22,443
Solving for r:
a(1+r)^5 = ₹22,443
(9609.67)(1+r)^5 = ₹22,443
(1+r)^5 = ₹22,443/₹9609.67
(1+r)^5 = 2.335
1+r = 2.335^(1/5)
1+r = 1.2
r = 0.2
Calculating the Final Amount in Each Sector:
a(1+0.2)^5 = a(1.2)^5
= ₹22,443
Therefore, the initial investment in each sector is ₹9,609.67, and the final amount in each sector after 5 years is ₹22,443. Hence, the correct option is (a) ₹22,443.
The total investment is ₹28,829 and it is divided into three sectors. After 5 years, the investment in each sector becomes equal.
Calculating the Investment in Each Sector:
Let the initial investments in the three sectors be x, y, and z respectively.
After 5 years, the investments become x(1+r)^5, y(1+r)^5, and z(1+r)^5, where r is the rate of interest.
Given that x(1+r)^5 = y(1+r)^5 = z(1+r)^5
So, x = y = z
Therefore, the initial investment is divided equally into three sectors.
Calculate the Initial Investment in Each Sector:
Let the initial investment in each sector be a.
So, a + a + a = ₹28,829
3a = ₹28,829
a = ₹9,609.67
Calculating the Final Amount in Each Sector:
After 5 years, the final amount in each sector is a(1+r)^5.
Given that a(1+r)^5 = ₹22,443
Solving for r:
a(1+r)^5 = ₹22,443
(9609.67)(1+r)^5 = ₹22,443
(1+r)^5 = ₹22,443/₹9609.67
(1+r)^5 = 2.335
1+r = 2.335^(1/5)
1+r = 1.2
r = 0.2
Calculating the Final Amount in Each Sector:
a(1+0.2)^5 = a(1.2)^5
= ₹22,443
Therefore, the initial investment in each sector is ₹9,609.67, and the final amount in each sector after 5 years is ₹22,443. Hence, the correct option is (a) ₹22,443.
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28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069?
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28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069? 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 28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069?.
28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069? 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 28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 28,829 is invested into three different sectors pa. S.1. after 5 years, 6 and 8 years are equal. Find each part of the Sum(a) 22443(b) ₹3082.8(c) 22970(d) ₹3069?.
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