Two coaching institutes and prepare students for an entrance examination

MATHEMATICS · Single correct · CBSE · Mathematics · Fractions in Disguise · Fractions in Disguise

Problem

Two coaching institutes XX and YY prepare students for an entrance examination. 80\% of the students of XX and 60\% of the students of YY qualify the examination. If the overall proportion of qualified students from both institutes taken together is 68\%, what proportion of the enrolled students belong to institute XX? (a) 0.600.60 (b) 0.320.32 (c) 0.400.40 (d) 0.680.68

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