Rs.1170 is divided, So that 4 times the 1st share, thrice the 2nd share and twice the 3rd share amount to the same. What is the value of 3rd share?



A. 530
B. none
C. 540
D. 500
E. 400

• Ans :C
  let 1st share = x, 2nd share = y , 3rd share = z.
  given 4x = 3y = 2z amounts to same,
  
  let 4x = 3y = 2z = k (constant)
  then x=k/4 , y=k/3 and z=k/2
  now we have given that sum of shares = 1170 rupees, then
  ==> x+y+z = 1170
  ==> k/4+k/3+k/2 = 1170
  ==> k = 1080
  ==> 3rd share z= k/2 ==> 1080/2 = 540
• 7 years agoHelpfull: Yes(0) No(0)
• C. 540
  
  Assume the three shares are x, y and z
  The first condition would be x+y+z=1170 ------(1)
  Given the clause that 4x=3y=2z -------> x/3 = y/4 = z/6 -----(2)
  From (2) it is obvious that y=(4/3)x -----(3)
  z=(6/3)x = 2x -----(4)
  Using (3) and (4) in (1) we get x + (4/3)x + 2x = 1170 ----> 13x/3=1170 ----> x= 1170 (3/13) ---> x= 270 ---(5)
  Therefore the third share, z= 2x = 2*270 = 540.
• 7 years agoHelpfull: Yes(0) No(0)