Multiple choice

A dishonest shopkeeper pretends to sell his goods at cost price but uses false weights and gains $\displaystyle 11\frac{1}{9}$ $\%$. For a weight of $1$ kg he uses

  1. a weight of $875$ gm
  2. a weight of $900$ gm
  3. a weight of $950$ gm
  4. a weight of $850$ gm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Gain = 11 1/9% = 100/9%. Gain = (True weight - False weight) / False weight * 100. 100/9 = (1000 - x) / x * 100 => 1/9 = (1000 - x) / x => x = 9000 - 9x => 10x = 9000 => x = 900 gm.

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