A travels in a desert, reaches an oasis and rests. Then B comes in, followed by C. After a while they discuss, what to lunch on; B opens a lunch box with 5 chapatis, C had got 3 chapatis. A had got nothing. They lunched together sharing equally. Then A says he got to move on, and gave B 8 bucks, asking him to share it with C, and he leaves. B kept 5 bucks and gave C 3 bucks. C did not agree and was asking to share it equally. B denied. They reach a village where they put forth their issue where the judicial head gives a judgement quite surprising to both B and C. What should that be?


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Question Number 48664 by ajfour last updated on 26/Nov/18

$A t r a v e l s i n a d e s e r t, r e a c h e s a n$ $o a s i s a n d r e s t s . T h e n B c o m e s i n,$ $f o l l o w e d b y C . A f t e r a w h i l e t h e y$ $d i s c u s s, w h a t t o l u n c h o n;$ $B o p e n s a l u n c h b o x w i t h 5 c h a p a t i s,$ $C h a d g o t 3 c h a p a t i s . A h a d g o t$ $n o t h i n g . T h e y l u n c h e d t o g e t h e r$ $s h a r i n g e q u a l l y . T h e n A s a y s h e$ $g o t t o m o v e o n, a n d g a v e B$ $8 b u c k s, a s k i n g h i m t o s h a r e i t$ $w i t h C, a n d h e l e a v e s .$ $B k e p t 5 b u c k s a n d g a v e C 3 b u c k s .$ $C d i d n o t a g r e e a n d w a s a s k i n g$ $t o s h a r e i t e q u a l l y . B d e n i e d . T h e y$ $r e a c h a v i l l a g e w h e r e t h e y p u t f o r t h$ $t h e i r i s s u e w h e r e t h e j u d i c i a l h e a d$ $g i v e s a j u d g e m e n t q u i t e s u r p r i s i n g$ $t o b o t h B a n d C .$ $W h a t s h o u l d t h a t b e ?$
Commented by math1967 last updated on 27/Nov/18

$B g i v e s = 5 - \frac{8}{3} = \frac{7}{3}$ $C g i v e s = 3 - \frac{8}{3} = \frac{1}{3}$ $∴ R a t i o = \frac{7}{3} : \frac{1}{3} = 7 : 1$ $∴ B s h a r e = \frac{7}{8} \times 8 = 7 b u c k s$ $C^{'} s s h a r e = 8 - 7 = 1 b u c k$ $∴ C w i l l g i v e m o r e 2 b u c k s t o B$
Commented by ajfour last updated on 27/Nov/18

$t h a n k s s i r . n i c e s t o r y i t i s!$
Commented by math1967 last updated on 27/Nov/18

$t h a n k y o u s i r f o r n i c e s t o r y / p r o b l e m$
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