Quantitative Aptitude: Partnership Set 14

1. Rs.1200 is divided among A,B,C so that A receives half so much as B and B half as much as C. What is B’s share.
   Rs.330
   Rs.310
   Rs.325
   Rs.343
   Rs.300
   Option D
   Let C = x
   x: 2X : 4X = 1:2 :4
   B =1200*2/7 = 342.8 = Rs.343
   
   
    



2. Alok received Rs.8000 as his share out of the total profit of Rs.12000 which he and Sahil earned at the end of one year. If Alok invested Rs.20,000 for 6 months, whereas Sahil invested his amount for the whole year , what was the amount invested by Sahil ?
   Rs. 2,000
   Rs. 1,000
   Rs. 3,000
   Rs. 4,000
   Rs. 5,000
   Option E
   Ratio = 8000:4000 = 2:1
   20000*6 : x*12 = 2:1
   20000:2x = 2:1
   20000/2x =2/1
   2x = 20000*1/2
   =>x = Rs. 5,000
   
   
    



3. 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?
   5 months
   6 months
   4 months
   2 months
   3 months
   Option D
   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.
   
   
    



4. A and B are partners in a business. A invests Rs.35,000 for 6months and B invests Rs.40,000 for 8 months. Out of a profit of Rs.28,750. What is the A’s share.
   Rs.11000
   Rs.11392
   Rs.10238
   Rs.12170
   Rs.12783
   Option B
   Ratio = 35,000*6 : 40000*8
   2100:3200
   21:32
   A’s share = 21*28750/53 = 11391.5 = Rs.11392
   
   
    



5. Raman and Rakhi entered into a partnership investing Rs.10000 and Rs.8000 rep. After 3 months Rina joined them with an investment of Rs.12000. What is the share of Rakhi in a half yearly profit of Rs.7200 ?
   Rs.2300
   Rs.2700
   Rs.2400
   Rs.1900
   Rs.2000
   Option C
   Ratio of their investment =
   10000*6 : 8000*6 : 12000*3
   10*6 : 8*6 : 12*3
   60 :48 :36
   5 : 4 : 3
   Rakhi profit = 7200*4/12 = Rs.2400
   
   
    



6. A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 40,000, A receives how much.
   Rs.18,000
   Rs.16,000
   Rs.12,000
   Rs.10,000
   Rs.14,000
   Option A
   Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000.
   x + x + 5000 + x + 13000 = 60000
   => 3x = 42000
   =>x = 14000
   A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14
   A’s share = Rs. (40000 * 27/60 ) = Rs.18,000
   
   
    



7. Three partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.
   Rs.101500
   Rs.110350
   Rs.128900
   Rs.103990
   Rs.112400
   Option E
   C=x, B=4x
   2(A’s capital)= 3(B’s capital)= 3*4x
   A’s capital= (3*4x /2) = 6x
   Ratio: 6:4:1
   B’s share= 4/11 * 309100 = Rs.112400
   
   
    



8. A,B and C shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Find the ratio of their investments.
   20:41:65
   10:43:64
   20:49:64
   21:40:63
   23:49:61
   Option C
   Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months
   14x : 8y : 7z = 5 : 7 : 8
   14x/8y = 5/7
   y = (49/20)x
   14x/7z = 5/8
   z = (16/5)x
   x:y:z = x:(49/20)x:(16/5)x
   20:49:64
   
   
    



9. A,B and C jointly engaged in a business. It was agreed that A would invest Rs. 6500 for 6months, B Rs.8400 for 5 months and C Rs.10000 for 3months. A wants to be a working partner and he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate share of C.
   Rs.1600
   Rs.1500
   Rs.1800
   Rs.1900
   Rs.1700
   Option D
   A received 5% of the profits i.e. 5% of 7400 = Rs.370
   Remaining = 7400-370 = Rs.7030
   Ratio of investments = 6500*6 : 8400*5 : 10000*3
   Ratio= 13:14:10
   Share of C= (10/37)*7030 = Rs.1900
   
   
    



10. P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Q and R?
    6 : 13 : 7
    4 : 10 : 9
    6 : 10 : 5
    3 : 11 : 5
    6 : 10 : 7
    Option C
    Let the initial investments of P and Q be 3x amd 5x.
    P : Q : R = (3x * 12) : (5x * 12) : (5x * 6) = 36 : 60 : 30 = 6 : 10 : 5