A cuboidal tank has dimensions: Length = 25 cm, Breadth = 20 cm, and Height = 16 cm. If the length is increased by 10%, the breadth is decreased by 10%, and the height is increased by 25%, then by what percentage does the volume of the tank change?
Show answer & explanation
Correct answer: C
Explanation
Volume ∝ Length × Width × Height
Multiplier for 10% increase in length = 1.10
Multiplier for 10% decrease in width = 0.90
Multiplier for 25% increase in height = 1.25
New Volume / Old Volume = 1.10 × 0.90 × 1.25
= 1.2375
This means the new volume is 123.75% of the old volume.
Change in volume = 123.75% − 100%
= 23.75% increase