A thief steals four gallons of liquid soap kept in a train compartment’s bathroom from a container that is full of liquid soap. He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of the mixture again, and fills it with water. When the liquid soap is checked at a station it is found that the ratio of the liquid soap is checked at a station it is found that the ratio of the liquid soap now left in the container to the water in it is 36 : 13. What was the initial amount of the liquid soap in the container if it is known that the liquid soap is   neither used nor augmented by anybody else during the entire period?

  • Option 1)

    7\: gallons

  • Option 2)

    14 \: gallons

  • Option 3)

    10\: gallons

  • Option 4)

    28 \: gallons

  • Option 5)

    21 \: gallons

Answers (1)

X\left ( 1-\frac{y}{x} \right )^{n}= \frac{36}{49}\: x\, X

Here y = 4 and n = 2

By solving above equation we get X = 28

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