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
Answers were Sorted based on User's Feedback
Answer / raidya
Arjan, Bhuvan, Guran and Lakha had 90, 50, 55 and 45 sheep respectively.
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.
|Is This Answer Correct ?||1 Yes||2 No|
Answer / ranjith naidu
let us consider each of them have x sheep
guran now has 10 more than lakha=10+x
and arjun gave 1/3rd to bhuvan
that is bhuvan have sheep=1/3x+x
another condition is
all of them have equl sheep
then equalise above two equtions
|Is This Answer Correct ?||2 Yes||13 No|
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