SOLUTION: riya,dilip, and kirtan are partnerof a firm the share of kirtan is 1/5th of share of dilip and share of Riya is double of share of kirtan. determine the amount of profit of each pa

Algebra ->  Finance -> SOLUTION: riya,dilip, and kirtan are partnerof a firm the share of kirtan is 1/5th of share of dilip and share of Riya is double of share of kirtan. determine the amount of profit of each pa      Log On


   

Question 1085770: riya,dilip, and kirtan are partnerof a firm the share of kirtan is 1/5th of share of dilip and share of Riya is double of share of kirtan. determine the amount of profit of each parntner if the profit of the firm at the end of the year was 1,92,000
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +k+=+%281%2F5%29%2Ad+
(2) +r+=+2k+
(3) +r+%2B+d+%2B+k+=+192000+
----------------------------
(1) +d+=+5k+
Plug (1) and (2) into (3)
(3) +2k+%2B+5k+%2B+k+=+192000+
(3) +8k+=+192000+
(3) +k+=+24000+
and
(2) +r+=+2%2A24000+
(2) +r+=+48000+
and
(1) +d+=+5k+
(1) +d+=+5%2A24000+
(1) +d+=+120000+
----------------------
Riya: $48,000
Dilip: $120,000
Kirtan: $24,000
------------------
check:
(3) +r+%2B+d+%2B+k+=+192000+
(3) +48000+%2B+120000+%2B+24000+=+192000+
(3) +192000+=+192000+