A lake supplies water to a town. In the first and the second month, it is observed that the town consumes the same amount of water. For the next four months, the monthly rate of consumption of the water is reduced by half as compared to the first two months. After this, it is observed that the remaining water in the lake is half of the initial starting volume. The ratio of the water consumed in the second month to the starting capacity of the lake is equal to (a) 1/6 (b) 1/8 (c) 1/12 (d) 1/10

• First month consumption - x
  second month consumption - x
  3,4,5,6 month consumption - x/2
  total - 4x
  4x - half of lake capacity
  x/4x = 1/4 is the share of 2nd month, in the half capacity of lake
  so 1/8 is the share of 2nd month in full capacity lake
• 6 years agoHelpfull: Yes(0) No(0)
• Total volume of lake= v
  First month consumption = x
  Second month consumption = x
  Next 4 months consumption = x/2
  remaining water in lake after 6 months of consumption = v/2
  v/2=(x)+(x)+(x/2)+(x+2)+(x/2)+(x+2)
  v=8x
  second month usage : total volume of lake = x : v
  = x : 8x
  = 1:8
  Answer = B
• 9 Months agoHelpfull: Yes(0) No(0)