the expenses for yoga classes in a colony are partly constant and partly varying with the no. of members.if there are 50 members then each of the members has to bear rs. 220 per month and if there are 10 more members,then the share of each of the members comes down by rs. 15 per month.how many members would be threre if the share of each member is 160?pl. provide sol.

1) 150
2) 130
3) 90
4) cannot be determined

• answer is 150
  
  let the fixed cost be X and varying cost be Y
  
  total cost for 50 members is 50*220 ie,
  
  X + 50y= 11000 ------> eq 1
  
  likewise for 60 members total cost is
  
  X + 60y = 12300 --------------> eq2
  
  solving eq 1 & 2 we get x=4500 and y =130
  
  now to have per memeber cost as 160
  
  wkt total cost is equal to cost of the each member * no of members
  
  4500 + 130*n = 160*n
  
  4500=30n
  
  n=150
  
  we need 150 members to bring the cost down to 160 per member
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