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Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.
- a)Rs. 676 and Rs. 625
- b)Rs. 650 and Rs. 651
- c)Rs. 670 and Rs. 631
- d)Rs. 660 and Rs. 630
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Divide Rs. 1301 between A and B, so that the amount of A after 7 years...
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Divide Rs. 1301 between A and B, so that the amount of A after 7 years...
To divide Rs. 1301 between A and B such that the amount of A after 7 years is equal to the amount of B after 9 years, we need to calculate the individual amounts for A and B.
Let's assume that A receives Rs. x and B receives Rs. (1301 - x).
To calculate the amount of A after 7 years, we use the compound interest formula:
A = P(1 + r/n)^(nt)
where A is the amount after time t, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time in years.
For A, we have:
Principal amount (P) = x
Rate of interest (r) = 4% = 4/100 = 0.04
Number of times interest is compounded per year (n) = 1
Time (t) = 7 years
A = x * (1 + 0.04/1)^(1*7)
A = x * (1 + 0.04)^7
A = x * (1.04)^7
Similarly, for B, we have:
Principal amount (P) = 1301 - x
Rate of interest (r) = 4% = 4/100 = 0.04
Number of times interest is compounded per year (n) = 1
Time (t) = 9 years
B = (1301 - x) * (1 + 0.04/1)^(1*9)
B = (1301 - x) * (1 + 0.04)^9
B = (1301 - x) * (1.04)^9
According to the given condition, A = B after 7 years:
x * (1.04)^7 = (1301 - x) * (1.04)^9
Simplifying the equation, we get:
x = (1301 - x) * (1.04)^2
x = (1301 - x) * 1.0816
Expanding the equation, we get:
x = 1301 * 1.0816 - x * 1.0816
x + x * 1.0816 = 1301 * 1.0816
1.0816 * x = 1301 * 1.0816
x = 1301
Therefore, the amounts for A and B are:
A = Rs. 1301
B = Rs. (1301 - 1301) = Rs. 0
But this does not meet the condition given in the question, which is that A and B should have equal amounts after 7 and 9 years, respectively. Hence, there is no solution to this problem.
Therefore, the correct answer is e) None of these.
Let's assume that A receives Rs. x and B receives Rs. (1301 - x).
To calculate the amount of A after 7 years, we use the compound interest formula:
A = P(1 + r/n)^(nt)
where A is the amount after time t, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time in years.
For A, we have:
Principal amount (P) = x
Rate of interest (r) = 4% = 4/100 = 0.04
Number of times interest is compounded per year (n) = 1
Time (t) = 7 years
A = x * (1 + 0.04/1)^(1*7)
A = x * (1 + 0.04)^7
A = x * (1.04)^7
Similarly, for B, we have:
Principal amount (P) = 1301 - x
Rate of interest (r) = 4% = 4/100 = 0.04
Number of times interest is compounded per year (n) = 1
Time (t) = 9 years
B = (1301 - x) * (1 + 0.04/1)^(1*9)
B = (1301 - x) * (1 + 0.04)^9
B = (1301 - x) * (1.04)^9
According to the given condition, A = B after 7 years:
x * (1.04)^7 = (1301 - x) * (1.04)^9
Simplifying the equation, we get:
x = (1301 - x) * (1.04)^2
x = (1301 - x) * 1.0816
Expanding the equation, we get:
x = 1301 * 1.0816 - x * 1.0816
x + x * 1.0816 = 1301 * 1.0816
1.0816 * x = 1301 * 1.0816
x = 1301
Therefore, the amounts for A and B are:
A = Rs. 1301
B = Rs. (1301 - 1301) = Rs. 0
But this does not meet the condition given in the question, which is that A and B should have equal amounts after 7 and 9 years, respectively. Hence, there is no solution to this problem.
Therefore, the correct answer is e) None of these.
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Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.a)Rs. 676 and Rs. 625b)Rs. 650 and Rs. 651c)Rs. 670 and Rs. 631d)Rs. 660 and Rs. 630e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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