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The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been?
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The partners A and B together lent Rs 3903 at 4% per annum interest co...
**Solution:**
Let's assume the share of A in the sum of Rs 3903 is x.
According to the information given, A gets the same amount as B gets after 9 years.
So, B's share after 9 years is also x.
Now, we can calculate the amount received by A and B after the given time periods using the compound interest formula:
For A:
Principal (P) = x
Rate of interest (R) = 4%
Time (T) = 7 years
Amount (A) = P(1 + R/100)^T
=> x(1 + 4/100)^7
=> x(1.04)^7
For B:
Principal (P) = x
Rate of interest (R) = 4%
Time (T) = 9 years
Amount (A) = P(1 + R/100)^T
=> x(1 + 4/100)^9
=> x(1.04)^9
According to the given information, A gets the same amount as B gets after 9 years. Therefore, we can equate the two amounts:
x(1.04)^7 = x(1.04)^9
Now, let's solve this equation to find the value of x.
Dividing both sides by x(1.04)^7:
1 = (1.04)^2
Taking the square root of both sides:
1.04 = 1.02
So, the value of x is:
x = Rs 3903 / (1.02)^7
Now, let's calculate the value of x:
x = 3903 / 1.149
x = 3399.13
Therefore, the share of A in the sum of Rs 3903 would have been Rs 3399.13.
Let's assume the share of A in the sum of Rs 3903 is x.
According to the information given, A gets the same amount as B gets after 9 years.
So, B's share after 9 years is also x.
Now, we can calculate the amount received by A and B after the given time periods using the compound interest formula:
For A:
Principal (P) = x
Rate of interest (R) = 4%
Time (T) = 7 years
Amount (A) = P(1 + R/100)^T
=> x(1 + 4/100)^7
=> x(1.04)^7
For B:
Principal (P) = x
Rate of interest (R) = 4%
Time (T) = 9 years
Amount (A) = P(1 + R/100)^T
=> x(1 + 4/100)^9
=> x(1.04)^9
According to the given information, A gets the same amount as B gets after 9 years. Therefore, we can equate the two amounts:
x(1.04)^7 = x(1.04)^9
Now, let's solve this equation to find the value of x.
Dividing both sides by x(1.04)^7:
1 = (1.04)^2
Taking the square root of both sides:
1.04 = 1.02
So, the value of x is:
x = Rs 3903 / (1.02)^7
Now, let's calculate the value of x:
x = 3903 / 1.149
x = 3399.13
Therefore, the share of A in the sum of Rs 3903 would have been Rs 3399.13.
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The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been?
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The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been? 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 The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been?.
The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been? 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 The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The partners A and B together lent Rs 3903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. the share of A in the sum of Rs 3903 would have been?.
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