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Byju's Answer
Standard IX
Mathematics
Linear Equation in 2 Variables
A, B and C ...
Question
A
,
B
and
C
together earn Rs.
300
per day, while
A
and
C
together earn Rs.
188
and
B
and
C
together earn Rs.
152.
The daily earning of
C
is:
A
Rs.
40
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B
Rs.
30
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C
Rs.
50
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D
Rs.
60
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Solution
The correct option is
A
Rs.
40
We are given
A
+
B
+
C
=
300
.....(i),
A
+
C
=
188
⇒
A
=
188
−
C
.....(ii)
and
B
+
C
=
152
⇒
B
=
152
−
C
.....(iii)
Putting values of equation (ii) and (iii) in equation (i)
Therefore,
188
−
C
+
152
−
C
+
C
=
300
⇒
340
−
C
=
300
⇒
C
=
40
So, option A is correct.
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