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A library contained 45% fiction novels and the remaining non-fiction novels. Of these, only 16% of the total novels are in the Hindi language, while the remaining are in the English language. If 7% of the total novels in the library are Hindi fiction novels, then the English non-fiction novels are what percentage of the total novels in the library?

A library contained 45% fiction novels and the remaining non-fiction novels. Of these, only 16% of the total novels are in the Hindi language, while the remaining are in the English language. If 7% of the total novels in the library are Hindi fiction novels, then the English non-fiction novels are what percentage of the total novels in the library? Correct Answer 46%

Given:

A library contained 45% fiction novels and the remaining non-fiction novels.

Only 16% of the total novels are in the Hindi language, while the remaining are in the English language.

Calculation:

Let the total number of books in the library be 'x'

Total no. of Hindi novels = 16% of x = 0.16x

No. of Hindi fiction novels = 7% of x = 0.07x

No. of Hindi non-fiction novels = 0.16x – 0.07x = 0.09x

But,

Total no. of fiction novels = 45% of x = 0.45x

Total no. of non-fiction novels = x – 0.45x = 0.55x

No. of English non-fiction novels = 0.55x – 0.09x = 0.46x

Percentage of English non-fiction novels = (0.46x/x) × 100 = 46%

∴ Percentage of English non-fiction novels is 46%.

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