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KCET 2021 Math Solved Paper
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© examsnet.com
Question : 10
Total: 60
In a certain two
65
%
families own cell phones, 15000 families own scooter and
15
%
families own both. Taking into consideration that the families own at least one of the two, the total number of families in the town is
20000
30000
40000
50000
Validate
Solution:
Let the total number of families be
x
.
Let
A
=
number of families that own cell phones
n
(
A
)
=
65
100
×
x
Let
B
=
number of families that own scooter
n
(
B
)
=
15000
and
(
A
∩
B
)
=
number of families that own cell phones and scooter both
n
(
A
∩
B
)
=
15
100
×
x
Here,
n
(
A
∪
B
)
=
x
n
(
A
∪
B
)
=
n
(
A
)
+
n
(
B
)
−
n
(
A
∩
B
)
x
=
65
x
100
+
15000
−
15
x
100
⇒
100
x
=
65
x
+
1500000
−
15
x
⇒
100
x
−
50
x
=
1500000
⇒
50
x
=
1500000
⇒
x
=
30000
Total number of families in the town is 30000.
© examsnet.com
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