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Standard VIII
Mathematics
Compound Variation
The table bel...
Question
The table below shows the total yield produced in certain days as:
Total yield (kg per sq cm)
3.2
7.2
Time (in days)
4
?
Find the number of days taken to make a yield of 7.2 kg/sq cm if yield is directly proportional to time.
A
7 days
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B
8 days
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C
9 days
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D
10 days
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Solution
The correct option is
C
9 days
We know, yield produced is directly poroportional to the time taken (in days).
The table is given as:
Total yield
(kg per sq cm)
3.2
7.2
Time
(in days)
4
?
Yield per day
=
y
x
=
3.2
4
=
0.8
Now, yield per day = 7.2 kg/sq cm
Putting the value, we get,
Yield per day
=
7.2
x
⇒
0.8
=
7.2
x
⇒
x
=
7.2
0.8
⇒
x
=
9
So, to produce a yield of 7.2 kg per sq cm, 9 days are required.
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