30 liters of mixed paint containing 10% oil is to be made into a paste
containing 50% oil. Find the quantity of oil added. If 6 more liters of oil are added, find the percentage of colouring matter in the mixture.
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Answer:
Suppose a container contains
x
units of a liquid from which
y
units are taken out and replaced by water. After
n
operations, quantity of pure liquid
=
x
(
1
−
y
x
)
n
units.
milk contained by the container now
=
40
(
1
−
4
40
)
3
=
40
(
1
−
1
10
)
3
=
40
×
9
10
×
9
10
×
9
10
=
4
×
9
×
9
×
9
100
=
29.16
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