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A divided money between two sons B and C. The amount received by B after 13 years is equal to the amount received by C in 15 years at the rate of 4% p.a. compound interest. The difference between their shares is INR 102. Find the amount in total (in INR)2702125013522602

Question

A divided money between two sons B and C. The amount received by B after 13 years is equal to the amount received by C in 15 years at the rate of 4% p.a. compound interest. The difference between their shares is INR 102. Find the amount in total (in INR)2702125013522602

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Solution

The problem is about compound interest and the difference in the amounts received by two sons, B and C.

Given that the amount received by B after 13 years is equal to the amount received by C in 15 years at the rate of 4% p.a. compound interest, we can use the formula for compound interest to set up an equation.

The formula for compound interest is A = P(1 + r/n)^(nt), where:

  • A is the amount of money accumulated after n years, including interest.
  • P is the principal amount (the initial amount of money).
  • r is the annual interest rate (in decimal).
  • n is the number of times that interest is compounded per year.
  • t is the time the money is invested for, in years.

In this case, we know that r = 4% or 0.04, n = 1 (since it's compounded annually), and t = 13 years for B and 15 years for C.

Let's denote the initial amount of money given to B as P1 and to C as P2.

We have:

P1(1 + 0.04)^13 = P2(1 + 0.04)^15

We also know that the difference between their shares is INR 102, so P2 - P1 = 102.

We can solve these two equations simultaneously to find the values of P1 and P2.

Once we have the values of P1 and P2, we can add them together to find the total amount of money divided between the two sons.

Please note that the problem seems to be incomplete or incorrectly formatted, as the string of numbers at the end ("2702125013522602") doesn't seem to relate to the rest of the problem. If there's additional information or context, please provide it so we can give a more accurate solution.

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