Question

A beaker which is $\frac{1}{4}$ filled, becomes $\frac{3}{4}$ filled when 500 mL of water is poured in it. The maximum volume of liquid that can be poured in the beaker is ____.

• A. 2000 mL
• B. 1 L
• C. 1500 mL
• D. 750 mL

Answer 1

The correct option is B 1 L

When 500 mL of water is poured in the beaker which was $\frac{1}{4}$${}^{th}$ (One quarter) filled gets $\frac{3}{4}$${}^{th}$ (Three quarters) filled.

So, the fraction of the beaker filled with 500 mL water = Three quarters of the beaker - One quarter of the beaker
= Two quarters of the beaker

We know that two quarters is equivalent to one half.

So, the volume of half of the beaker = 500 mL
So, the total volume of the beaker
= 500 $\times$ 2
= 1000 mL
= 1 L