asmit donates rupees 2, 04,918 to two charitable institution such that the first institution get 2/5 of what the the second ones gets.find the amount of money is institution receives also find the ratio between the amount the two institution gets
Answers
Answer:
Let Rs.50,000 be invested into two parts Rs.x and Rs.50,000−x in which the first part is invested in the first type of bond and the second part is invested in the second type of bond. These two amounts can be written in the form of a row matrix.
i.e. A=[
x
50,000−x
]
and the interest per rupees annually for the two bonds are
100
5
and
100
6
which can be written in the form of a column matrix,
i.e.B=
⎣
⎢
⎢
⎡
100
5
100
6
⎦
⎥
⎥
⎤
∴ Total interest per year = AB=[
x
50,000−x
]×
⎣
⎢
⎢
⎡
100
5
100
6
⎦
⎥
⎥
⎤
=[
100
5
x+
100
(50,000−x)6
]=[
3000−
100
x
]=[2780](given)
On Comparing
3000−
100
x
=2780
⇒220−
100
x
=0
∴x=22,000
The required amounts are Rs.22,000 and Rs.28,000
Hence, the difference between the amounts is 6000.
204981 Asmit donets rs
=2x + 5x = 204981
7x = 204981
x= 204981/7
x= 83640
146370
Ratio = 4:7