In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics.The total number of candidates being 1,000, how many took both Physics and Mathematics?

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In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics.<br />The total number of candidates being 1,000, how many took both Physics and Mathematics?