Quantitative Aptitude: Partnership Set 4

Partnership Questions IBPS PO SBI PO, NIACL, NICl, LIC, IBPS Clerk, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. A and B enter into a partnership with capitals in the ratio 7:8 and at the end of 8 months A withdraws. If they receive profits in the ratio of 7:11 find how long B’s capital was used?
   A) 8 months
   B) 9 months
   C) 11 months
   D) 12 months
   E) None of these
   
   View Answer

   Option C
   Solution:
   A : B
   7 : 8
   8 : x (time)
   7*8 : 8*x = 7 : 11
   56/8x = 7/11
   x = 11
2. A began a business with Rs 12,000 and was joined afterwards by B with Rs 8,000. After how many months did B join if the profits at the end of the year were divided in the ratio 3:1?
   A) 5 months
   B) 6 months
   C) 7 months
   D) 8 months
   E) None of these
   
   View Answer

   Option B
   Solution:
   12000*12:8000*(12-x)=3:1
   solve x= 6 months
   
3. Two partners invest Rs 120000 and Rs 84000 in a business and agree that 70% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one person gets Rs 900 more than the other then find the total profit made in the business.
   A) Rs 17,000
   B) Rs 20,000
   C) Rs 5,100
   D) Rs 18,000
   E) None of these
   
   View Answer

   Option S
   Solution:
   120000*1 : 84000*1
   10: 7 (difference = 3)
   3 == 900
   1 == 300
   17 == 5100 ; this is 30%
   100%=5100*100/30 = 17,000
4. A,B and C enter into a partnership with Rs 4000, Rs 6000 and Rs 8000 respectively. After 4 months A withdrew 25% and after 6 months B add 16(2/3)% and after 8 months C withdrew 25% , find the profit earned by A if they get a total profit of Rs 7500 after 1 year.
   A) Rs 1000
   B) Rs 2000
   C) Rs 3000
   D) Rs 4000
   E) None of these
   
   View Answer

   Option B
   Solution:
   A                       :              B                 :                   C
   4000*4                    6000*6                         8000*8
   (4000-1000)*8      (6000+1000)*6             (8000-2000)*4
   = 40000 : 78000 : 32000
   20:39:16
   A = 20/(20+39+16) * 7500=2000
   
5. A starts a business with Rs 25000. After few months B join him with Rs 20000. If the ratio of their profit after 1 year is 15:8 find after how many months B joined A?
   A) 2 months
   B) 6 months
   C) 4 months
   D) 8 months
   E) None of these
   
   View Answer

   Option C
   Solution:
   25000*12 : 20000(12-x)
   15 : 8
   solve and get x=4 months
6. A invests with B some rupees and B invested Rs 25,000. After 4 months A increase his investment with Rs 6000. If at the end of the year A and B have a profit of Rs 2400 and Rs 2500 respectively, find the sum invested by A.
   A) Rs 15000
   B) Rs 30000
   C) Rs 25000
   D) Rs 20000
   E) None of these
   
   View Answer

   Option D
   Solution:
   [x*4 + (x+6000)*8]/(25000*12)=24/25
   solve and get x= Rs 20000
7. Ram and Shyam invested Rs 5000 and Rs 7000 respectively. If Ram increases Rs 1000 after every 4 months find the ratio of their profit after 1 year.
   A) 7 : 6
   B) 6 : 7
   C) 5 : 6
   D) 6 : 5
   E) None of these
   
   View Answer

   Option B
   Solution:
   A                    :        B
   5000*4          :   7000*12
   +6000*4
   +7000*4
   =72000 : 84000
   6 : 7
   
8. In a partnership A invest 1/6 of the capital for 1/6 of the time. B invest 1/3 capital for 1/3 time and C invest the remaining capital for whole time. If at the end of the year the profit earned is Rs 23000, Then what will be the share of B?
   A) Rs 4000
   B) Rs 5000
   C) Rs 6000
   D) Rs 4500
   E) None of these
   
   View Answer

   Option A
   Solution:
   Let total capital=18
   A=1/6*18 *1/6*12=6
   B= 1/3*18*1/3*12=24
   C=9*12=108
   A:B:C=1:4:18
   B=4/23*23000=4000
9. Sumit and Anu invested money in the ratio of 8:12, find for how much time anu invested the money if Sumit invested money for 9 months and he got Rs 1000 from a total profit of Rs 3000?
   A) 9 months
   B) 10 months
   C) 11 months
   D) 12 months
   E) None of these
   
   View Answer

   Option D
   Solution:
   Sumit : Anu
   8*9 :  12*x
   72:12x
   Profit=1000:2000=1:2
   72/12x=1/2
   x=12                  
10. A and B invested Rs 1200 and Rs 1500 respectively in a business. After 8 months A withdrew his entire money and C joined them with Rs 2000. If after a year, a total of Rs 1780 is obtained as a profit, find the total share of B and C?
    A) Rs 1300
    B) Rs 1280
    C) Rs 880
    D) Rs 980
    E) None of these
    
    Spoiler title

    Option A
    Solution:
    A            :       B            :      C
    1200*8  :  1500*12      : 2000*4
    = 24:45:20
    B+C=65/89*1780