A sink contains exactly 12 litres of water. If water is drained from the sink until it holds 6 litres of water less than the quantity drained away, then how many litres of water were drained away?

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  1. 6
  2. 7
  3. 8
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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Given:

Total water in the sink = 12 litres.

Remaining water in the sink = 6 litres less than the quantity drained away.

Formula Used:

Let the quantity of water drained away be x litres.

Remaining water in the sink = Total water - Quantity drained away.

Remaining water = x - 6.

Calculation:

Total water - Drained water = Remaining water.

⇒ 12 - x = x - 6.

⇒ 12 + 6 = x + x.

⇒ 18 = 2x.

⇒ x = 18 / 2.

⇒ x = 9 litres.

The quantity of water drained away is 9 litres.

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