19 persons went to a hotel for a combined dinner party. 13 of them spent Rs 79 each for the dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them?

(a)Rs1628.40 (b)Rs1536 (c)Rs1492 (d)none of these

• let assume average as 'x'
  ans :b
  solution : (13*79)+(6(x+4)) = 19x
  1027 + 6x + 24 = 19x
  1051 = 13x
  x = 1051/13
  total money = 19x = 1536
• 14 years agoHelpfull: Yes(3) No(0)
• 1536 is correct
  _________________________________________
  13 membes--->13*79=1027
  let k be average
  so remaining 6-->(k+4)6
  so total=1027+(k+4)6
  avg total/19 which equals to k
  so1027+(k+4)6/19=k
  1027+24=19k-6k
  k 1051/13=80.84 this is avg
  so total =19*k=19*80.84=1536.07
• 14 years agoHelpfull: Yes(2) No(0)
• 1536 is correct
  let total spent money be x
  then averegae will be x/19
  13 spent is equal to 13*79
  rest i.e 6 spent 6*(x/19+4)
  total spent 13*79+6*(x/19+4)
  average will be [13*79+6*(x/19+4)]/19 which will be equal to x/19
  on solving x(i.e)toal money spent=Rs1536.07
• 14 years agoHelpfull: Yes(2) No(1)