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False Balance Profit Percentage

CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Quantitative Aptitude

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A vegetable vendor by means of his false balance defrauds to the extent of 10% in buying goods and also defrauds to 10% in selling, then the gain percent is

  1. A.

    1119%11\frac{1}{9}\%

  2. B.

    10%10\%

  3. C.

    2229%22\frac{2}{9}\%

  4. D.

    20%20\%

Answer

C

Explanation

When buying, he gets 110110 gm for the cost of 100100 gm. When selling, he gives 9090 gm while charging for 100100 gm.

Overall multiplying factor: =(1+10100)×(1+1090)=110100×10090=119= \left(1 + \frac{10}{100}\right) \times \left(1 + \frac{10}{90}\right) = \frac{110}{100} \times \frac{100}{90} = \frac{11}{9}

Gain percentage: =(119−1)×100=29×100=2229%= \left(\frac{11}{9} - 1\right) \times 100 = \frac{2}{9} \times 100 = 22\frac{2}{9}\%

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