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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 102 of 200

Q102
ArithmeticPercentage, Profit & Loss
When water is frozen to ice, its volume increases by 10%. What percent of the volume of ice decreases when it melts to water?
  1. a.$10\frac{1}{11}$%
  2. b.$6\frac{1}{5}$%
  3. c.$9\frac{1}{11}$%
  4. d.11%

Answer: (C) $9\frac{1}{11}$%

100 units of water become 110 units of ice; on melting, 110 falls back to 100. The decrease is 10 out of 110, i.e. $\frac{100}{11} = 9\frac{1}{11}$%. 10% or more would measure the change against the water volume instead of the ice.