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CBSE Class 10 Answered

Pupils of tenth standard had arranged for a function at a total cost of Rs1000 which was to be shared equally among them .since 10 of them failed to join the function each of them had to pay Rs5 more .find the numbers of pupils in the class  
Asked by yogigowri2003 | 14 Mar, 2019, 07:46: PM
answered-by-expert Expert Answer
Let x be number of students.
 
If the cost of function Rs.1000 shared by all share of the cost per student = Rs. (1000 / x)
 
since 10 students failed to share, share of the cos per student of remaining = Rs.  [1000 / (x-10)]
 
hence we have
 
begin mathsize 12px style fraction numerator 1000 over denominator x minus 10 end fraction space minus space 1000 over x space equals space 5 space space space o r space space 1000 space cross times fraction numerator x minus x plus 10 over denominator x left parenthesis x minus 10 right parenthesis end fraction space equals space 5 space space space space space o r space space x squared minus 10 x space minus 2000 space equals space 0 B y space f a c t o r i sin g space t h e space a b o v e space q u a d r a t i c space e q u a t i o n comma space space left parenthesis space x minus 50 space right parenthesis left parenthesis space x space plus 40 space right parenthesis space equals space 0 space space space end style
 
hence number of students = 50
Answered by Thiyagarajan K | 14 Mar, 2019, 08:33: PM

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