as what B receives -
16. A sum of 44,200 is divided between John
and Smith, 12 years and 14 years old
respectively, in such a way that if their
portions be invested at 10 percent per annum
compound interest, they will receive equal
amounts on reaching 16 years of age.
(1) What is the share of each out of
44,200 ?
(ii) What will each receive, when 16 years
old ?
Answers
Answered by
1
Step-by-step explanation:
Age of John =12years
Age of Smith=14years
Let John get =xRs.
⇒ smith get=(44200−x)Rs.
When John will be 16 years old, he will
have money = x(1+
100
10
)
4
=x(
10
11
)
4
When Smith will be 16 years old, he will have
money = (44200−x)[1+
100
10
]
2
=(44200−x)(
10
11
)
2
As both will have same amount
⇒(44200−x)(
10
11
)
2
=x(
10
11
)
2
⇒44200−x=
100
121x
⇒44200=
100
121
x+x=
100
221
x
⇒x=
221
44200×100
=20000 Rs.
⇒ John was given amount =20000Rs.
and Smith get =44200−20000
=24200Rs.
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