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A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab?
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A man invests an amount of ₹ 15,860 in the names of his three sons A, ...
Given information:
Amount invested = ₹ 15,860
Rate of interest = 5%
Time period = 2 years, 3 years, and 4 years respectively
The interest earned by all three sons is the same.
To find: The ratio of interest invested in the names of A, B, and C.
Solution:
Let the amount invested in the names of A, B, and C be x, y, and z respectively.
After 2 years, the amount invested by A will become:
x(1 + (5/100)*2) = 1.1x
Similarly, the amount invested by B and C will become:
y(1 + (5/100)*3) = 1.15y
z(1 + (5/100)*4) = 1.2z
As the interest earned by all three sons is the same, we can equate the above expressions and simplify to get:
11x = 23y/2 = 6z
Now, we need to find the ratio of x, y, and z. We can take any two expressions and equate them to find the ratio of two amounts. Let's take the first two expressions:
11x = 23y/2
=> x/y = 23/22
Similarly, we can equate the second and third expressions to get:
23y/2 = 12z/5
=> y/z = 24/25
Multiplying these two ratios, we get:
(x/y) * (y/z) = x/z = (23/22) * (24/25) = 552/550
Therefore, the ratio of interest invested in the names of A, B, and C is:
x : y : z = 552 : 528 : 600
On simplifying, we get:
x : y : z = 6 : 4 : 4.5 (approx)
Hence, the correct option is (d) None of the above.
Amount invested = ₹ 15,860
Rate of interest = 5%
Time period = 2 years, 3 years, and 4 years respectively
The interest earned by all three sons is the same.
To find: The ratio of interest invested in the names of A, B, and C.
Solution:
Let the amount invested in the names of A, B, and C be x, y, and z respectively.
After 2 years, the amount invested by A will become:
x(1 + (5/100)*2) = 1.1x
Similarly, the amount invested by B and C will become:
y(1 + (5/100)*3) = 1.15y
z(1 + (5/100)*4) = 1.2z
As the interest earned by all three sons is the same, we can equate the above expressions and simplify to get:
11x = 23y/2 = 6z
Now, we need to find the ratio of x, y, and z. We can take any two expressions and equate them to find the ratio of two amounts. Let's take the first two expressions:
11x = 23y/2
=> x/y = 23/22
Similarly, we can equate the second and third expressions to get:
23y/2 = 12z/5
=> y/z = 24/25
Multiplying these two ratios, we get:
(x/y) * (y/z) = x/z = (23/22) * (24/25) = 552/550
Therefore, the ratio of interest invested in the names of A, B, and C is:
x : y : z = 552 : 528 : 600
On simplifying, we get:
x : y : z = 6 : 4 : 4.5 (approx)
Hence, the correct option is (d) None of the above.
Community Answer
A man invests an amount of ₹ 15,860 in the names of his three sons A, ...
A
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A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab?
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A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab? 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 A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab?.
A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab? 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 A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of interest is 5%, then the ratio of interest invested in the name of A, B and C is : (a) 6 : 4 : 3 (b) 3 : 4 : 6 (c) 30 : 12 : 5 (d) None of the ab?.
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