Question
MCQ
If the length and height of a brick increases by 10% each respectively, and the breadth reduces by 20%, what is the percentage change in the volume of the brick?
Options
2.8
3.0
3.2
3.6
Solution
3.2
Explanation:
Let initial volume of brick = 100
After increase in length and height be 10%
and reduction in breadth by 20%
New volume,
V = `100 [1 + 10/100][1 + 10/100][1 - 20/100]`
`= 100 (11/10)(11/10)(8/10) = 96.8%`
Reduction = 100 - 96.8 % = 3.2 %
Concept: Area and Volume (Entrance Exam)
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