## PARTNERSHIPS – Aptitude Interview Questions with Answers

### This blog explains about PARTNERSHIPS – Aptitude Interview Questions with Answers and is given below :

1. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:
 A Rs. 1425 B Rs. 1500 C Rs. 1537.50 D Rs. 1576

Explanation:

Let the total profit be Rs. 100.

 After paying to charity, A’s share = Rs. 95 x 3 = Rs. 57. 5

If A’s share is Rs. 57, total profit = Rs. 100.

 If A’s share Rs. 855, total profit = 100 x 855 = 1500. 57

2 . Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
 A 5 : 7 : 8 B 20 : 49 : 64 C 38 : 28 : 21 D None of these

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

 Now, 14x = 5 98x = 40y        y = 49 x 8y 7 20

 And, 14x = 5 112x = 35z        z = 112 x = 16 x. 7z 8 35 5

 x : y : z = x : 49 x : 16 x = 20 : 49 : 64. 20 5

3 . Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran’s share in the profit?
 A Rs. 9,423 B Rs. 10,250 C Rs. 12,500 D Rs. 10,500

Explanation:

Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.

 Simran’s share = Rs. 24500 x 3 = Rs. 10,500. 7

4 . A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
 A 4 months B 5 months C 6 months D 8 months

Explanation:

Suppose B joined for x months. Then,

 Then, 85000 x 12 = 3 42500 x x 1

 x = 85000 x 12 = 8. 42500 x 3

So, B joined for 8 months.

5 . Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
 A Rs. 890 B Rs. 1335 C Rs. 1602 D Rs. 1780

Explanation:

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)

= 48 : 32 : 64

= 3 : 2 : 4.

 Kamal’s share = Rs. 4005 x 2 = Rs. 890. 9

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

Explanation:

Let B’s capital be Rs. x.

 Then, 3500 x 12 = 2 7x 3

14x = 126000

x = 9000.

7 . 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

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.

8 . A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
 A Rs. 8400 B Rs. 11,900 C Rs. 13,600 D Rs. 14,700

Explanation:

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

3x = 36000

x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

 A’s share = Rs. 35000 x 21 = Rs. 14,700. 50
9 . A, B and C enter into a partnership in the ratio7/2 :4/3  :6/5 . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B’s share in the profit is:
 A Rs. 2100 B Rs. 2400 C Rs. 3600 D Rs. 4000

Explanation:

 Ratio of initial investments = 7 : 4 : 6 = 105 : 40 : 36. 2 3 5

Let the initial investments be 105x, 40x and 36x.

 A : B : C = 105x x 4 + 150 x 105x x 8 : (40x x 12) : (36x x 12) 100

= 1680x : 480x : 432x = 35 : 10 : 9.

 Hence, B’s share = Rs. 21600 x 10 = Rs. 4000. 54

10 . 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

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