Aptitude :: PartnershipPage 2
9.  A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the First year, B withdraws Rs. Rs. 40,000, while at the end of 2 year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of three years?  (a)3 : 4 : 7  (b)3 : 5 : 7  (c)7 : 2 : 7  (d)3 : 7 : 4 

Answer is: ALet A : B : C = (40000 x 36) : (80000x12 + 40000x24) : (120000x24 + 40000x12)
A : B : C = 144 : 192 : 396 = 3 : 4 : 7
10.  A, B and C entered a partnership investing Rs. 16,000 and Rs. 12000 respectively. After 3 months, A withdraws Rs. 5000 while B invested Rs. Rs. 5000 more. After 3 months C joined the business with a capital of Rs. 21000. The share of B exceeds that of C, out a total profit of Rs. 26,400 after one year by?  (a)3000  (b)3300  (c)3600  (d)3700 

Answer is: CA : B : C = (16000x3 + 1100x9) : (12000x3 + 17000x9) : (21000x6)
A : B : C = 147 : 189 : 126 = 7 : 9 : 6
âˆ´ Difference of B's and C's shares = Rs. [26400 x (96)/22] = Rs. 3600.
11.  A, B and C subscribe Rs. 50000 for a business. A subscribe Rs. 4000 more than B and B Rs. 5000 more than C. out of a total profit of Rs. 35000 A receives?  (a)14000  (b)14300  (c)14500  (d)14700 

Answer is: DLet C = X. Then B = X + 5000 and
A = X + 5000 + 4000 = X + 9000
So, X + X + 5000 + X + 9000 = 50000
3 X = 36000
X = 12000
A: B: C = 21000: 17000: 12000 =21: 17: 12
= ( 21 + 17 +12) = 50
∴ A's share = Rs. (35000 x 21/50 ) = 14,700.
12.  Three partners A, B and C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs. 16500 at the end of the year, B's share is?  (a)5000  (b)5500  (c)6000  (d)6500 

Answer is: CLet C = X. Then B = 4X,
2A = 3 x 4X = 12X
A = 6X
∴ A: B : C = 6X : 4X : X = 6 : 4 : 1
So, B's capital = Rs. (16500 x 4/11) = Rs. 6000
13.  If 4 ( A's capital ) = 6 ( B's capital ) = 10 ( C's capital ), then out of a profit of Rs. 4650, C will receive?  (a)900  (b)1000  (c)800  (d)600 

Answer is: ALet, 4 A = 6 B = 10 C = k
Then, A = k/4 , B = k/6 , and C = k/10
∴ A : B : C = k/4 âˆ¶ k/6 âˆ¶ k/10 = 12 : 10 : 6
Hence, C's share = Rs. ( 4650 x 6/31 ) = Rs. 900
14.  A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27000, C's share is?  (a)9000  (b)8000  (c)7000  (d)6000 

Answer is: ALet, A's investment be Rs. X
Then, Ratio of capitals = ( X x 12 ) : ( 2X x 6 ) : (3X x 4 ) = 12X : 12X : 12X
So, Ratio of capitals = 1 : 1 : 1
∴ C's share = Rs. ( 27000 x 1/3 ) = Rs. 9000.
15.  In a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57,300 was their profit, how much amount did B receive?  (a)48000  (b)48200  (c)48600  (d)48400 

Answer is: DLet, A : B = 3 : 2 ⇒ B : A = 4 : 6 and A : C = 2 : 1 = 6 : 3
So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3
∴ B's share = Rs. ( 157300 x 4/13 ) = Rs. 48400.
16.  A, B and C enter into a partnership and their shares are in the ratio 1/2 âˆ¶ 1/3 âˆ¶ 1/4 . After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?  (a)140  (b)142  (c)144  (d)146 

Answer is: CRatio of initial investments = 1/2 âˆ¶ 1/3 âˆ¶ 1/4 = 6 : 4 : 3
Let their initial investments be 6X, 2X and 3X respectively
A : B : C = ( 6Xx2 + 3Xx10 ) : ( 4Xx12) : ( 3Xx12 )
A : B : C = 42 : 48 : 36 = 7 : 8 : 6
∴ B's share = Rs. ( 378 x 8/21 ) = Rs. 144.
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