Aptitude - Partnership

6. 

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

A. Rs. 7500
B. Rs. 8000
C. Rs. 8500
D. Rs. 9000

Answer: Option D

Explanation:

Let B's capital be Rs. x.

Then, 3500 x 12 = 2
7x 3

14x = 126000

x = 9000.


7. 

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

A. Rs. 330
B. Rs. 360
C. Rs. 380
D. Rs. 430

Answer: Option A

Explanation:

A : B = 4x x 3 + 4x - 1 x 4x x 7 : 5x x 3 + 5x - 1 x 5x x 7
4 5

   = (12x + 21x) : (15x + 28x)

   = 33x :43x

   = 33 : 43.

A's share = Rs. 760 x 33 = Rs. 330.
76


8. 

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

A. 3 : 5 : 2
B. 3 : 5 : 5
C. 6 : 10 : 5
D. Data inadequate

Answer: Option C

Explanation:

Let the initial investments of A and B be 3x and 5x.

A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.


9. 

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60

Answer: Option A

Explanation:

A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.

C's rent = Rs. 175 x 9 = Rs. 45.
35


10. 

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A. Rs. 7500
B. Rs. 9000
C. Rs. 9500
D. Rs. 10,000

Answer: Option A

Explanation:

A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.

B's share = Rs. 25000 x 3 = Rs. 7,500.
10