Math, asked by MahimaJhawar, 7 months ago

Divide * 28.730 between A and B so that
when their shares are lent out at 10 per cent
compound interest compounded per year, the
amount that A receives in 3 years is the same
as what B receives in 5 years.




plz help mee fastt​

Answers

Answered by gunduravimudhiraj76
2

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Simple Interest

Divide Rs.28,730 between A ...

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Asked on December 20, 2019 by

Munny Saksena

Divide Rs.28,730 between A and B so the when their shares are lent out at 10 per cent compound interest compounded per year, the amount that A receives in 3 years is the same as what B receives in 5 years.

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ANSWER

Total amount to be divided =Rs.28730

Let A gets amount =x

⇒ B gets =28730−x

Rate =10% per annum compounded annually.

⇒ Amount of A=x(1+

100

10

)

3

[In 3 year]

=x(

10

11

)

3

On 5 years

Amount B gets =(28730−x)(1+

100

10

)

5

=(28730−x)(

10

11

)

5

Both amounts are equal.

⇒ x(

10

11

)

3

=(28730−x)(

10

11

)

5

⇒ 100x=28730×121−121x

⇒ 221x=28730×121

⇒ x=

221

28730×121

221

3476330

=15730

⇒ Amount given to A=Rs.15,730

Amount given to B=Rs.(28730−15730)

=13000 Rs.

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