Percentages, SM-Bank 067

Fred owns a property which is currently experiencing a drought.

Fred's dam is currently 30% below its maximum capacity.

Calculate the capacity of the dam when full if it currently holds \(280\ 000\) litres? (2 marks)

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\(400\ 000\ \text{litres}\)

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\(\text{Capacity has decreased by 30%.}\)

\(\therefore\ 280\ 000\ \text{litres represents}\ \dfrac{70}{100}\ \text{of the full capacity}\)

\(\therefore\ \dfrac{7}{10}\ \times\ \text{Full capacity}\)	\(=280\ 000\)
\(\therefore\ \text{Full capacity}\)	\(=\dfrac{280\ 000\times 10}{7}=400\ 000\ \text{litres}\)