Question

A small vessel is used to take out oil from a large vessel full of oil. The capacity of the small vessel is 3/50 of the volume of oil contained in the larger vessel. If the small vessel is filled 15 times to draw out oil from the larger vessel, what fraction of the original volume of oil is left in the larger vessel?

Answer 1

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Answer 2

Answer:

1/10.

Step-by-step explanation:

As per the question's statement,

We know that,

Capacity of the smaller vessel = 3/50 of larger vessel

Number of times small vessel filled = 15 times

Now,

Let us say that the Capacity of the larger vessel = 50x

So,

Capacity of smaller vessel is given by,

$Capacity=\frac{3}{50}\times 50x=3x\\Capacity=3x$

Now,

Capacity of small vessel = 3x

Now,

As the oil was taken out 15 times.

The quantity of the oil taken out = 15 x 3x = 45x

So,

The remaining quantity of the oil is given by,

Remaining Quantity = 50x - 45x = 5x

Now,

Fraction of the oil remaining in the larger vessel is,

$fraction=\frac{5x}{50x}\\Fraction=\frac{5}{50}=\frac{1}{10}\\Fraction=\frac{1}{10}$

Therefore, 1/10 of the oil is remaining in the larger vessel.