A vessel initially contains 80\text{ litres} of water. After standing in the sun, 12\text{… — JAMB UTME

A vessel initially contains $80\text{ litres}$ of water. After standing in the sun, $12\text{ litres}$ of water evaporates. What percentage of the original volume of water evaporated?

Answer: 15 %

Answer

The percentage of the original volume of water that evaporated is

15\%

To find the percentage of evaporated water, divide the evaporated amount (

12\text{ litres}

) by the original total volume (

80\text{ litres}

) and multiply by

100\%

. This yields

\frac{12}{80} \times 100\% = 15\%

Step-by-Step Solution

Determine the fractional portion of the evaporated water relative to the initial total volume.

The fraction is

\frac{12}{80} = \frac{3}{20}

Percentage loss must be evaluated relative to the original starting amount.

Convert the resulting fraction into a percentage.

\frac{3}{20} \times 100\% = 15\%.

Multiplying a dimensionless ratio by 100 yields its percentage equivalent.

Key Concept

Calculating percentage change or loss relative to an initial amount

Estimated Time:45s

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