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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 above?
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A man invests an amount of ₹ 15,860 in the names of his three sons A, ...
Given:
- Amount invested by the man = ₹ 15,860
- Rate of interest = 5%
- Time periods for A, B, and C are 2 years, 3 years, and 4 years respectively.

To find:
The ratio of interest invested in the name of A, B, and C.

Solution:
To find the ratio of interest, we need to calculate the interest earned by each son.

Calculation:
Let the interest earned by A, B, and C be I1, I2, and I3 respectively.

The formula to calculate simple interest is:
Simple Interest (SI) = (Principal * Rate * Time) / 100

For son A:
Principal (P1) = ₹ 15,860
Rate (R1) = 5%
Time (T1) = 2 years

I1 = (P1 * R1 * T1) / 100
= (15,860 * 5 * 2) / 100
= ₹ 1,586

For son B:
Principal (P2) = ₹ 15,860
Rate (R2) = 5%
Time (T2) = 3 years

I2 = (P2 * R2 * T2) / 100
= (15,860 * 5 * 3) / 100
= ₹ 2,379

For son C:
Principal (P3) = ₹ 15,860
Rate (R3) = 5%
Time (T3) = 4 years

I3 = (P3 * R3 * T3) / 100
= (15,860 * 5 * 4) / 100
= ₹ 3,172

Ratio of interest:
To find the ratio of interest, we divide the interest earned by each son by their respective time periods.

Ratio of interest = I1 : I2 : I3
= 1,586 : 2,379 : 3,172
= 6 : 9 : 12

Now, we can simplify the ratio by dividing each term by the highest common factor (HCF), which is 3.

Simplified ratio = 6/3 : 9/3 : 12/3
= 2 : 3 : 4

Therefore, the ratio of interest invested in the name of A, B, and C is 2 : 3 : 4. Option (d) None of the above.
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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 above?
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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 above? 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 above? 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 above?.
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