Correct Answer - Option 2 : 34% decrease
Given:
the length of a box is increased = 50%
the breadth of a box is increased = 10%
the height of a box is is decreased = 60%
Formula used :
Volume of cuboid box = l × b × h
Calculation :
let,
length of box = 2 units
breath of box = 10 units
height of box = 5 units
Initial volume = 2 × 10 × 5 = 100 cube units
New length after 50% increase = 3 units
New breath after 10% increase = 11 units
New height after 60% decrease = 2 units
New volume = 3 × 11 × 2 = 66 cube units
% change in volume = [(Initial volume - New volume)/Initial volume] × 100
⇒ [(100 - 66)/100] × 100
⇒ 34%
∴ Volume decreased by 34%.
