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?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. Increase by 5%
  2. Increase by 3%
  3. Decrease by 2%
  4. Decrease by 4%

Answer (Detailed Solution Below)

Option 1 : Increase by 5%
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Detailed Solution

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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

  Before After
Length increased 20% 5 6
Breadth increased 25% 4 5
Height reduced 30% 10 7
Volume 200 210
  

Volume increased% = 10/200 × 100 = 5%

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