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Question

Candidates of 5 schools appear in Maths test. The data is given as follows :

SchoolsNo.of CandidatesScoreA6075B4880C55D4050E5060

If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C


  1. 60

  2. 48

  3. 56

  4. 52


Solution

The correct option is D

52


Let the number of candidates from School C be x

Mean = No. of candidates × Score Total No. of Candidates

= 60×75+48×80+x×55+40×50+50×6060+48+x+40+50

= 4500+3840+55x+2000+3000198+x

=13340+55x198+x

Mean    =  64.8

We get : 

13340+55x198+x = 64.8

13340+55x=12830.4+64.8x

9.8x=509.6

x=509.69.8=52

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