In an examination 70% of the candidates passed in History and 50% in Geography

GovtVacancy.Net
Posted on 21-12-2022

Ques - In an examination 70% of the candidates passed in History and 50% in Geography and 20% students failed in both the subjects. If 500 students passed in both the subjects, then how many candidates appeared for the exam ?

(a)1,000

(b)1,500

(c)2,500

(d)none of these

Solution -

Let,

Total no. of candidate appeared for the exam = 100x

No. of candidates passed in History = 70% of 100x

= (70/100) * 100x

= 70x

No. of candidates failed in History = 100 - 70 = 30x

No. of candidates passed in Geography = 50% of 100x

= (50/100) * 100x

= 50x

No. of candidates failed in Geography = 100x - 50x = 50x

No. of candidates failed in both = 20% of 100x = 20x

Total failed candidates = 30x + 50x - 20x = 60x

Passed in both = 100x - 60x 

Passed in both = 40x

40x = 500(given passed in both the subjects)

x = 500/40

x = 25/2

Total no. of candidate appeared for the exam = 100x

= 100 * (25/2)

= 1250

Hence,

The correct option is (d) none of these.

Thank You

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