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A man invests an amount of Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amountafter 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is?
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A man invests an amount of Rd.15860 in the name of his 3 sons A,B And ...
Problem Statement:

A man invests an amount of Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amount after 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is?

Solution:

Step 1: Find the amount that each son will get after 2, 3 and 4 years respectively.

Let the amount invested by the man be x.

Amount A will get after 2 years = x(1+5/100)^2
Amount B will get after 3 years = x(1+5/100)^3
Amount C will get after 4 years = x(1+5/100)^4

Step 2: Equate the amounts received by each son.

As per the problem statement, the amounts received by each son are equal.

x(1+5/100)^2 = x(1+5/100)^3 = x(1+5/100)^4

Step 3: Simplify the equation and solve for x.

x(1+5/100)^2 = x(1+5/100)^3 = x(1+5/100)^4

(1+5/100)^2 = (1+5/100)^3 = (1+5/100)^4

1+0.1+0.0025 = 1+0.15+0.00375 = 1+0.2+0.005+0.000125

1.1025x = 1.158875x = 1.21550625x

x = 15860/1.47788125 = 10730

Therefore, the amount invested in the name of A, B and C respectively is:

Amount invested in the name of A = x = 10730
Amount invested in the name of B = x(1+5/100) = 11266.50
Amount invested in the name of C = x(1+5/100)^2 = 11852.83

Step 4: Find the ratio of the amount invested in the name of A, B and C.

Ratio of the amount invested in the name of A, B and C = 10730:11266.50:11852.83

= 10730:11266.50:11852.83

= 50.5:53:55.5

Therefore, the ratio of amount invested in the name of A, B and C is 50.5:53:55.5.
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A man invests an amount of Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amountafter 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is?
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A man invests an amount of Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amountafter 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is? 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 Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amountafter 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is? 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 Rd.15860 in the name of his 3 sons A,B And c in such a way that they get the same amountafter 2, 3 and 4 years respectively. The rate of interest is 5% then the ratio of amount invested in the name of A,B and C is?.
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