Area Conservation in Rectangle

CMAT 2025 · Quantitative Techniques & Data Interpretation · Easy · Percentages

The length of a rectangle is increased by 25%. By what percent should its breadth be decreased so as to maintain the same area ?

  1. A.

    20%

  2. B.

    25%

  3. C.

    30%

  4. D.

    40%

Answer

A

Explanation

Percentage decrease in breadth = 25100+25×100%=25125×100%=20%\frac{25}{100 + 25} \times 100\% = \frac{25}{125} \times 100\% = 20\%.

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