A beaker contains 30 litres of juice. From this beaker 3 litres of juice are taken out and replaced by water. This process was repeated fur…

Amount of juice left after 3 removals = 30(1 – 3/30)3 = 30 × (9/10)3 = 30 × 9/10 × 9/10 × 9/10 litres = 21.87 litres

Detailed Solution:

Quantity of juice remained after first removal = (30 – 3) litres = 27 litres

Quantity of juice remained after second removal = (27 – 27/30 × 3) litre = (27 – 2.7) litres

= 24.3 litres

Quantity of juice remained after third removal = (24.3 – 24.3/30 × 3) litre = (24.3 – 2.43) litres = 21.87 litres