Q. In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit?

• CORRECT SOLUTION
  Given A=45000 B=30000 C=22500
  A:B:C= 450:300:225
  As A withdrew its half of capital after 4 months,it can withdraw 22500 rupees
  But before 4 months, it is 45000 only and the profit is calculated after withdrwal it is almost 9+4=13 months.For that 9 months, the capital for A is half of its original capital,
  So A= 450*4+ 225*9= 1800+2025= 3825
  Similarly, B= 300*13=3900
  Similarly,C= 225*13= 2925
  Therefore, ratio of A:B:C= 3825: 3900 : 2925= 51:52:39
  
  A's share=51/142(28400)=10200
  B's share=52/142(28400)=10400
  C's share=39/142(28400)=7800
  
• 10 years agoHelpfull: Yes(41) No(0)
• Given Capital of A,B,C respectively are
  A:B:C=450:300:225
  Capital of A,B.C after 13 months are
  A=450*4+225*9=3825
  B=300*13=3900
  C=225*13=2925
  Now,
  B:A:C=52:51:39
  Share of A's profit=(51/142)*28400=10200
  share of B's profit=(52/142)*28400=10400
  Share of C's profit=(39/142)*28400=7800
  
• 10 years agoHelpfull: Yes(11) No(4)
• Given A=45000 B=30000 C=22500
  A:B:C= 450:300:225
  As A withdrew its half of capital after 4 months,it can withdraw 22500 rupees
  But before 4 months, it is 45000 only and the profit is calculated after withdrwal it is almost 9+4=13 months.For that 9 months, the capital for A is half of its original capital,
  So A= 450*4+ 225*9= 1800+2025= 3825
  Similarly, B= 300*13=3900
  Similarly,C= 225*13= 2925
  Therefore, ratio of A:B:C= 3825: 3900 : 2925= 27:52:39
  A's Profit= 27/118*28400= 6498.3
  B's Profit= 52/118*28400= 12515.25
  C's Profit= 39/118*28400= 9386.4
  
• 10 years agoHelpfull: Yes(5) No(14)
• Given A=45000 B=30000 C=22500
  A:B:C= 450:300:225
  As A withdrew its half of capital after 4 months,it can withdraw 22500 rupees
  But before 4 months, it is 45000 only and the profit is calculated after withdrwal it is almost 9+4=13 months.For that 9 months, the capital for A is half of its original capital,
  So A= 450*4+ 225*9= 1800+2025= 3825
  Similarly, B= 300*13=3900
  Similarly,C= 225*13= 2925
  Therefore, ratio of A:B:C= 3825: 3900 : 2925= 51:52:39
  
  A's share=51/142(28400)=10200
  B's share=52/142(28400)=10400
  C's share=39/142(28400)=7800
  
  
• 10 years agoHelpfull: Yes(4) No(0)
• Share of A=5926.95,B=12841.73,C=9631.30
  Equivalent Capital investment of A,B,C are 45x*4, 30x*13, 22.5x*13
  Share of A=28400*45x*4/(45x*4+ 30x*13+22.5x*13)=5926.95
  Share of B=28400*30x*13/(45x*4+ 30x*13+22.5x*13)=12841.73
  Share of C=28400*22.5x*13/(45x*4+ 30x*13+22.5x*13)=9631.30
• 10 years agoHelpfull: Yes(1) No(7)
• ans for how 15*4 is
  because 15*4 is 60 and as has to give points to C we need consider(given)total 60 points for B
  
• 10 years agoHelpfull: Yes(0) No(0)
• A's share= 10200
  B's Share=10400
  C's share=7800
• 10 years agoHelpfull: Yes(0) No(0)
• i didnt get why at last 28400 was multiplyd wid 142 or 118 to find the share....???
• 10 years agoHelpfull: Yes(0) No(1)
• @Anusha: 28400 is being multiplied to get the share because they had a total profit of 28400Rs.. To find each share out of the total,this is being done,
• 7 years agoHelpfull: Yes(0) No(0)