The length and breadth of a cuboid is increased by 20% and 25%, respectively, while its height is reduced by 30%. What must be the total percentage increase/decrease in the volume of the cuboid?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)

Answer 1

Calculations:

Let the initial values of length, breadth and height be

100, 100 and 100.

Later after alterations,

Length = 120

Breadth= 125

And height = 70

Now, initial volume = 1000000

And final volume

= 120 × 125 × 70

= 1050000

Now, change percentage

= (1050000 - 1000000) × 100/1000000

= 50000 × 100/1000000

= 5%

Hence, The Required value is 5%.

Shortcut Trick

Volume increased% = 10/200 × 100 = 5%