Quant Questions : Partnership Set 4

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1. Karolin and Swaetha are partners in a business. Karolin invests Rs.35,000 for 6months and Swaetha invests Rs.40,000 for 8 months. Out of a profit of Rs.28,750, Karolin’s share is
   A)Rs.11,300
   B)Rs.11,392
   C)Rs.12,765
   D)Rs.10,450
   E)None of these
   

   Answer

   B)Rs.11,392
   Explanation :
   35,000*6 : 40000*8
   2100:3200
   21:32
   Karolin’s share = 21*28750/53 = 11391.5 = 11392
   
   
   
2. Mohan and Suresh entered into a partnership investing Rs.10000 and Rs.8000 rep. After 3 months Udhay joined them with an investment of Rs.12000. What is the share of Suresh in a half yearly profit of Rs.7200 ?
   A) Rs.4000
   B) Rs.3200
   C) Rs.2000
   D) Rs.2400
   E) None of these
   

   Answer

   D) Rs.2400
   Explanation :
   10000*6 : 8000*6 : 12000*3
   10*6 : 8*6 : 12*3
   60 :48 :36
   5 : 4 : 3
   Suresh profit = 7200*4/12 = 2400
   
   
   
3. A and B entered into a partnership investing Rs.12000 and Rs.10000 resp.After 3 months A withdrew Rs.3000 while B invested Rs.4000 more. After 3 more months C joins the business with a capital of Rs.15000. The share of B exceeds that of C, out of a total profit of Rs.25,000 after one year by
   A)Rs.4546
   B)Rs.5446
   C)Rs.5400
   D)Rs.4800
   E) None of these
   

   Answer

   A)Rs.4546
   Explanation :
   (12000*3+9000*9):(10000*3+14000*9):(15000*6)
   117000:156000:90000
   117:156:90 => 39:52:30
   B = 52*25000/121 = 10744
   C = 30*25000/121 = 6198
   Diff = 10744 – 6198 = 4546
   
   
   
4. P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is
   A)Rs.40,000
   B)Rs.35,000
   C)Rs.45,000
   D)Rs.64,000
   E) None of these
   

   Answer

   C)Rs.45,000
   Explanation :
   30,000:Q = 2:3
   Q = 90,000/2 = 45,000
   
   
   
5. Naren received Rs.8000 as his share out of the total profit of Rs.12000 which he and Praba earned at the end of one year. If Naren invested Rs.20,000 for 6 months, whereas Praba invested his amount for the whole year , what was the amount invested by Praba ?
   A) Rs.2,000
   B) Rs.8,000
   C) Rs.6,000
   D)Rs.5,000
   E) None of these
   

   Answer

   D)Rs.5,000
   Explanation :
   P = 8000:4000 = 2:1
   20000*6 : x*12 = 2:1
   20000:2x = 2:1
   20000/2x =2/1
   2X = 20000*1/2 =>x =  5,000
   
   
   
6. Rs.1200 is divided among A,B,C so that A receives half so much as B and B half as much as C. Then B’s share is
   A)Rs.423
   B) Rs.343
   C) Rs.356
   D) Rs.387
   E) None of these
   

   Answer

   B) Rs.343
   Explanation :
   Let C = x
   x: 2X : 4X = 1:2 :4
   B =1200*2/7 = 342.8 = 343
   
   
   
7. A,B and C started a shop by investing Rs.27000, Rs.48000 and Rs.63000 respectively. At the end of the year the profits were distributed among them.If B’s share of profit be Rs.19200, then the total profit was
   A) Rs.55000
   B) Rs.52000
   C)Rs.52550
   D) Rs.55200
   E) None of these
   

   Answer

   D) Rs.55200
   Explanation :
   A:B:C = 27:48:63 = 9:16:21
   16x/46 = 19200
   X = 19200*46/16 = 55200
   
   
   
8. A sum of money is divided among P,Q,R and S in the ratio 5:4:7:9 respectively. If the share of P is Rs.2300 more than that of Q, then what is the total amount of R and S together ?
   A)Rs.36800
   B) Rs.36000
   C) Rs.35000
   D) Rs.37200
   E) None of these
   

   Answer

   A)Rs.36800
   Explanation :
   5x-4x = 2300
   X = 2300
   R  = 7*2300 = 16100
   S = 9*2300 = 20700
   R+S = 36800
   
   
   
9. A and B invest in a business in the ratio 3 : 7 . If 10 % of the total profit goes to charity and A’s share is Rs. 923, the profit is
   A)Rs.3160
   B)Rs.3215
   C)Rs.3418
   D)Rs.3525
   E) None of these
   

   Answer

   C)Rs.3418
   Explanation :
   Total profit = 100, Charity = 10
   A’s share = 90*3/10 = 27
   Total profit = 100*923/27 = 3418
   
   
   
10. A invested Rs 60000 in a business. After few months, B joined him with Rs 24000. The total profit was divided between them in the ratio 3 : 1 at the end of the year. After how many months did B join?
    A)4 months
    B)2 months
    C)6 months
    D)5 months
    E) None of these
    

    Answer

    B)2 months
    Explanation :
    A : B
    60*12 : 24x = 3:1
    60*12/24x = 3/1 = 3
    x = 60*12/24*3
    = 60*4/24 = 10
    12 – 10 = 2
    After 2 months B joined
    
    
    

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