Divide Rs 28,730 between A and B so that when their shares are lent out at 10% 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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Answered by
2
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.
Answered by
1
Answer:
Total amount to be divided =Rs.28730
Let A gets amount =x
⇒ B gets =28730−x
hence proved
Step-by-step explanation:
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