The length and breadth of a rectangle are increased by 8% and 5%, respectively. By how much percentage will the area of the rectangle increase?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. 13.4%
  2. 15.4%
  3. 12.4%
  4. 16.4%

Answer (Detailed Solution Below)

Option 1 : 13.4%
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Detailed Solution

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Given:

The length and breadth of a rectangle are increased by 8% and 5%, respectively. 

Concept used:

Final percentage change after two successive increments of A% and B% = \((A + B + {AB \over 100})\%\)

Calculation:

Final percentage increment in area = \(8 + 5 + \frac {8 \times 5}{100}\) = 13.4%

∴ The area will increase by 13.4%.

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