Boiling water at $100^{0}C$ and cold water at $t^{0}C$ are mixed in the ratio $1:3$ and the resultant maximum temperature was $27^0$C. Assuming no heat losses, the value of t is :

Applying the principle of heat exchange, the heat lost by the boiling water equals the heat gained by the cold water, leading to the weighted average formula: 1 multiplied by 100 plus 3 multiplied by t equals 4 multiplied by 27. Simplifying the right side gives 108, so subtracting 100 from 108 leaves 8. Dividing this remainder by 3 gives a value of t equal to 2.67 degrees Celsius.

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