· Divide 28,730 between A and B so that when their shares are lent out at 10 per centcompound interest compounded per year, theamount that A receives in 3 years is the sameas what B receives in 5 years.

· Divide 28,730 between A and B so that when their shares are lent

1.	· Divide 28,730 between A and B so that when their shares are lent out at 10 per centcompound interest compounded per year, theamount that A receives in 3 years is the sameas what B receives in 5 years.
Answer» Step-by-step explanation: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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· Divide 28,730 between A and B so that when their shares are lent out at 10 per centcompound interest compounded per year, theamount that A receives in 3 years is the sameas what B receives in 5 years.​

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· Divide 28,730 between A and B so that when their shares are lent out at 10 per centcompound interest compounded per year, theamount that A receives in 3 years is the sameas what B receives in 5 years.