PartnershipPage 1
1.  A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs. 1,50,000 Respectively. Find the share of A, out of an annual profit of Rs. 56,700.  (a)16000  (b)16500  (c)16800  (d)17000 

Answer is: CRatio of shares of A,B and C = 120000 : 135000 : 150000
Ratio = 8 : 9 : 10
= 8+9+10 = 27
∴ A's share = Rs. (56700 x 8/27) = 16800
2.  Ram started a business investing Rs. 45000. After 3 months, Ramesh joined him with a capital of Rs. 60000. After another 6 months, Rakesh joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 16500. Find the share Ramesh ?  (a)6400  (b)6500  (c)6600  (d)6700 

Answer is: CRam invested his capital for 12 months, Ramesh for 9 months, rakesh for 3 months.
So, Ratio of capitals = (45000 x 12) : (60000 x 9) : (90000 x 3)
= 540000 : 540000 : 270000
= 2 : 2 : 1.
So, Ramesh share = Rs. (16500 x 2/5) = Rs. 6600
3.  A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B ?  (a)1200  (b)1250  (c)1300  (d)1350 

Answer is: ALet C capital = Rs. X.
Then B capital = Rs. 2/3 X
A capital = Rs. (3 x 2/3 X) = Rs. 2X
∴ Ratio of their capitals = 2X : 2/3 X : X
= 6 : 2 : 3
Hence, B share = Rs. ( 6600 x 2/11) = Rs. 1200.
4.  Four milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 720, Find the total rent of the field?  (a)3100  (b)3150  (c)3200  (d)3250 

Answer is: DRatio of shares of A, B, C, and D = (24x3) : (10x5) : (35x4) : (21x3)
Ratio of A : B : C : D = 72 : 50 : 140 : 63
Let Total rent be Rs. X. Then, A's share = Rs. 72X/325
∴ 72X/325 = 720
⇒ X = (720 x 325)/72 = 3250
5.  A invested Rs. 76000 in a business. After few months, B joined him with Rs. 57000. At the end of year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join ?  (a)3 months  (b)4 months  (c)5 months  (d)6 months 

Answer is: BSuppose B joined after X months.
Then, B's money was invested for (12 – x) months.
∴ (76000 x 12)/(57000 x (12X)) = 2/1
⇒ 912000 = 114000 (12 – X)
⇒ 114 (12 – X) = 912
⇒ 12 – X = 8
⇒ X = 4
Hence B joined after 4 months.
6.  A, B and C enter into a partnership by investing in the ratio of 3 : 2 : 4. After one year, B invests another Rs. 270000 and C, at the end of 2 years, also invests Rs. 270000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find the initial investment of C ?  (a)3600  (b)360000  (c)36000  (d)3600000 

Answer is: BLet the initial investments of A, B and C be Rs. 3X, Rs. 2X and Rs. 4X respectively.
Then, (3X x 36) : [(2X x 12) + (2X + 270000) x 24] : [(4X x 24) + (4X + 270000) x 12] = 3 : 4 : 5
⇒ 108X : (72X + 6480000) : (144X + 3240000) = 3 : 4 : 5
∴ (108 X)/(72 X+6480000) = 3/4
⇒ 432 X = 216X + 19440000
⇒ 216 X = 19440000
X = 90000
C's initial investment = 4X = Rs. 360000.
7.  P and Q started a business investing Rs. 85000 and Rs. 15000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively.  (a)73:3  (b)17:3  (c)3:17  (d)13:17 

Answer is: BP:Q = 85000:15000 = 17:3
8.  Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?  (a)10000  (b)10500  (c)11000  (d)11500 

Answer is: BKamal : Sameer = (9000 x 12) : (8000 x 7)
⇒ Kamal : Sameer = 108 : 56 = 27 : 14
∴ Sameer's share = Rs. ( 6970 x 14/41 ) = Rs. 10500