Question : $\frac{6}{7}$ part of a tank is filled with oil. After taking out 60 litres of oil, the tank is $\frac{4}{5}$ part full. What is the capacity (in litres) of the tank?
Option 1: 350
Option 2: 700
Option 3: 360
Option 4: 1050
Correct Answer: 1050
Solution :
Let the capacity of the tank be $x$ litres.
According to the question,
$\frac{6x}{7}-\frac{4x}{5}$ = 60
$⇒\frac{30x-28x}{35}$ = 60
$⇒\frac{2x}{35}$ = 60
$⇒x =30×35$
$⇒x =1050$ litres
Hence, the correct answer is 1050.
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