Question

a divided money between two sons B and C the amount received by b after 13 year is equal to amount received by c in 15 years and 4%pa compound interest. the difference between their shares is 102 find the amount

Answer 1

Answer:

Should we do it in our notebook

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

• A divides money between two sons B and C

• The amount received by B after 13 year is equal to amount received by C in 15 years and 4% pa compound interest.

• The difference between their shares is 102

TO DETERMINE

The amount

EVALUATION

Let amount of B = x and amount of C = y

Now it is given that amount received by B after 13 year is equal to amount received by C in 15 years and 4% pa compound interest.

So by the given condition

$\displaystyle \sf{x {\bigg(1 + \frac{4}{100} \bigg)}^{13} = y{\bigg(1 + \frac{4}{100} \bigg)}^{15}}$

$\displaystyle \sf{ \implies \: x= y{\bigg(1 + \frac{4}{100} \bigg)}^{2}}$

$\displaystyle \sf{ \implies \: x= 1.0816y}$

Again it is given that the difference between their shares is 102

So by the second condition

x - y = 102

$\displaystyle \sf{ \implies \: 1.0816y - y = 102}$

$\displaystyle \sf{ \implies \: 0.0816y = 102}$

$\displaystyle \sf{ \implies \: y =1250 }$

$\displaystyle \sf{ \implies \: x = 1250 + 102 = 1352}$

FINAL ANSWER

Hence the amount of B = 1352 and amount of C = 1250

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