The real fact is that I could no longer stand their eternal cold mutton.
Meaning of the quote
The quote is saying that the writer, Cecil Rhodes, was tired of the same boring and unappetizing food that he had to eat all the time. He was sick of always having to eat cold, leftover mutton (a type of meat from a sheep) and wanted something more interesting and satisfying.

About Cecil Rhodes
Cecil Rhodes was an influential English mining magnate and politician in southern Africa who served as Prime Minister of the Cape Colony. He founded the territory of Rhodesia (now Zimbabwe and Zambia) and established the prestigious Rhodes Scholarship at Oxford University, which continues to benefit leaders from around the world.
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More quotes from Cecil Rhodes
I have found out one thing and that is, if you have an idea, and it is a good idea, if you only stick to it you will come out all right.
British businessman, mining magnate and politician in South Africa (1853-1902)
We must find new lands from which we can easily obtain raw materials and at the same time exploit the cheap slave labor that is available from the natives of the colonies. The colonies would also provide a dumping ground for the surplus goods produced in our factories.
British businessman, mining magnate and politician in South Africa (1853-1902)
So little done, so much to do.
British businessman, mining magnate and politician in South Africa (1853-1902)
Remember that you are an Englishman, and have consequently won first prize in the lottery of life.
British businessman, mining magnate and politician in South Africa (1853-1902)
The real fact is that I could no longer stand their eternal cold mutton.
British businessman, mining magnate and politician in South Africa (1853-1902)