Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep than Lakha. If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding to Lakha, they would all have an equal number of sheep. How many sheep did each of them possess? Give the minimal possible answer.
(A) 80,50,55,45 (B) 90,50,55,45 (C) 90,40,55,45(D) 90,50,50,45

• answer (B)
  checking by option
  1/3 of 80 is a decimal no. so 1st check for 90's 1/3rd
  1/3 of 90 i.e 30 is given to bhuvan add 30 in bhuvan's option (option of bhuvan sheep is 40 or 50) if we add 30 in 40 then its 1/4th part is decimal no. so go for 50 sheep option for bhuvan
  now bhuvan having (50+30=80sheeps) now 1/4th of 80 i.e 20 is added to next guran option and we have to do 1/5th part of new no.(options available 50& 55 if we add 20 in 50 i.e 70 then its 1/5part is decimal so 55 is correct one for adding 20 i.e 75 now 1/5part can be easily calculated
  so option in order 90,50,55,is only in (B)which also satisfy whole condition..................:)
• 12 years agoHelpfull: Yes(20) No(0)
• Let p,q,r,s be the no of sheeps for each.
  Check the constraint that R=S+10
  
  three options remain. A,B,C.
  
  now the eqn becomes--(p-(p/3))=[q+(p/3)-1/4(q+(p/3)]
  now put the options Hence B is the answer.
• 12 years agoHelpfull: Yes(6) No(0)
• Ans : b
  Arjan:- 90*(2/3)=60
  
  Bhuvan= (50+30)*(3/4)=60
  
  that means Bhuvan gave 20 to Guran sheep
  
  Guran=(55+20)*(4/5)=60
  
  that meand guran gaves 15 sheep to lakha
  
  Now all have equeal number of sheeps
  
  Answer :- 90,50,55,45
• 12 years agoHelpfull: Yes(5) No(0)
• ans (B)
  play with options
  
• 12 years agoHelpfull: Yes(1) No(1)
• going through the option ans. is B
• 12 years agoHelpfull: Yes(1) No(0)
• Option B
  
  Go by options..
  Option A isnt possible cause 80 isnt perfect multiple of 3
  option D isnt possible cause difference between Guran and Lakha's sheep is 5 (not 10)
  
  Remaining are B and C
  Arjan= 90-(90/3)= 90-30 = 60
  Bhuvan= (50+30)-((50+30)/4) = 80-20=60
  Guran=(55+20)-((55+20)/5) = 75-15 = 60
  Lakha= 45+15 = 60
  
  Hence all equal
  
• 12 years agoHelpfull: Yes(1) No(0)
• option B is correct ...
• 12 years agoHelpfull: Yes(0) No(0)
• Answer option B
  Go by options the first number should be a multiple of three So option A can be eliminated. 2nd number + 1/3 rd of the first number should be a multiple of 4. so option C can be eliminated. 1/4th of the second number + third number should be multiple of 5, So the answer should be option B.;)
• 12 years agoHelpfull: Yes(0) No(0)
• Assume that Arjan, Bhuvan, Guran and Lakha had A, B, G and L sheep respectively. As it is
  given that at the end each would have an equal number of sheep, comparing the final numbers
  from the above table.
  Arjan's sheep = Bhuvan's sheep
  2A/3 = A/4 + 3B/4
  8A = 3A + 9B
  5A = 9B
  Arjan's sheep = Guran's sheep
  2A/3 = A/15 + B/5 + 4G/5
  2A/3 = A/15 + A/9 + 4G/5 (as B=5A/9)
  30A = 3A + 5A + 36G
  22A = 36G
  11A = 18G
  Arjan's sheep = Lakha's sheep
  2A/3 = A/60 + B/20 + G/5 + L
  2A/3 = A/60 + A/36 + 11A/90 + L (as B=5A/9 and G=11A/18)
  2A/3 = A/6 + L
  A/2 = L
  A = 2L
  Also, it is given that Guran had ten more sheep than Lakha.
  G = L + 10
  11A/18 = A/2 + 10
  A/9 = 10
  A = 90 sheep
  Thus, Arjan had 90 sheep, Bhuvan had 5A/9 i.e. 50 sheep, Guran had 11A/18 i.e. 55 sheep and
  Lakha had A/2 i.e. 45 sheep.
• 5 Months agoHelpfull: Yes(0) No(0)