SOLUTION: A profit of Rs 1360 is to be distributed among A , B and C in such way that A gets 2/3 of B' share and B gets 1/4 of C' share . find the amount that B gets ?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A profit of Rs 1360 is to be distributed among A , B and C in such way that A gets 2/3 of B' share and B gets 1/4 of C' share . find the amount that B gets ?      Log On


   

Question 1096386: A profit of Rs 1360 is to be distributed among A , B and C in such way that A gets 2/3 of B' share and B gets 1/4 of C' share . find the amount that B gets ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +a+%2B+b+%2B+c+=+1360+
(2) +a+=+%282%2F3%29%2Ab+
(3) +b+=+%281%2F4%29%2Ac+
-------------------------
(3) +c+=+4b+
Plug (2) and (3) into (1)
(1) +%282%2F3%29%2Ab+%2B+b+%2B+4b+=+1360+
(1) +2b+%2B+3b+%2B+12b+=+4080+
(1) +17b+=+4080+
(1) +b+=+240+
and
(3) +c+=+4b+
(3) +c+=+4%2A240+
(3) +c+=+960+
and
(2) +a+=+%282%2F3%29%2Ab+
(2) +a+=+%282%2F3%29%2A240+
(2) +a+=+160+
-------------------------
B gets Rs 240
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check:
(1) +a+%2B+b+%2B+c+=+1360+
(1) +160+%2B+240+%2B+960+=+1360+
(1) +1360+=+1360+
OK