Aptitude Partnership Test Paper 1


1) Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit?

  1. Rs. 5222.2
  2. Rs. 14222.2
  3. Rs. 6222.2
  4. Rs. 6777.7

The Correct answer is (B)

Explanation:

Sohan's capital be C1 = 80000

Mohan's capital be C2 = 65000

Sohan's time be T1 = 12 months

Mohan's time be T2 = 6 months

Profit earned = 20000

Apply formula:Apti Partnership7

Therefore, Sohan's share = Apti Partnership8

Apti Partnership

Apti Partnership-q10

Solution: 2

Ratio of their profits = Apti Partnership11

Apti Partnership-q12

Therefore, Profit of Sohan: Profit of Mohan = 32:13

Then, Sohan's share =Apti Partnership7* 20000= 14222.2


2) A, B and C are partners. They have invested Rs.35000, Rs. 25000 and 10,000 respectively for the same period. If the total profit is Rs. 18000, find the share of A.

  1. Rs. 9000
  2. Rs. 9500
  3. Rs. 8000
  4. Rs. 8500

The Correct answer is (A)

Explanation:

A's capital be C1= 35000

B's capital be C2= 25000

C's capital be C3= 10000

Profit = 18000

T1=T2=T3

Apply formula: Apti Partnership14

Apti Partnership15

Solution 2:

Ratio of their profits;

Profit of A: Profit of B: Profit of C = C1*T1: C2*T2:C3*T3

Time is same for A, B and C.

So, Profit of A: Profit of B: Profit of C = C1: C2: C3

= 35000:25000:10000

= 7:5:2

A's share = (A's ratio/ sum of all three ratios)* total profit

Apti Partnership16


3) A's and B's shares in a business are in the ratio of 5:3. If A has invested Rs. 70000 for 12 months, for what period B has invested Rs. 60000?

  1. 7 months
  2. 7.4 months
  3. 8 months
  4. 8.4 months

The Correct answer is (D)

Explanation:

A's capital be C1 = 70000

B's capital be C2 = 60000

A's time be T1= 12 months

Let B's time be T2 = X months

A's share: B's share = 5:3

Apply formula: Apti Partnership

Apti Partnership

300000 X = 2520000

Apti Partnership


4) Suresh started a business by investing a certain amount of money. Rakesh joined him after four months by investing Rs. 50000. If after one year Suresh and Rakesh share the profit in the ratio of 10:8, how much capital did Suresh invest?

  1. Rs. 42000
  2. Rs. 44000
  3. Rs. 47000
  4. Rs. 41666.7

The Correct answer is (D)

Explanation:

Let Suresh's capital be C1 = X

Rakesh's capital be C2 = 50000

Suresh's Time be T1 = 12 months

Rakesh's Time be T2 = 8 months

Suresh's profit: Rakesh's profit = 10:8

Apply formula: Apti Partnership18

Apti Partnership18


X = 41666.7


5) A and B enter into a partnership by investing Rs.14000 and Rs. 16000 respectively. After 8 months, C joins them with a capital of Rs.12000. Find the share of C in a total profit of Rs. 57000 after 2 years.

  1. Rs.12000
  2. Rs.12500
  3. Rs.13000
  4. Rs.13500

The Correct answer is (A)

Explanation:

A's capital be C1 = 14000

B's capital be C2 = 16000

C's capital be C3 = 12000

A's time be T1 = 24 months

B's time be T2 = 24 months

C's time be T3 = 16 months

Profit: 57000

Apply formula: Profit of A: Profit of B: Profit of C = C1*T1: C2*T2:C3*T3

= 14000*24: 16000*24:12000*16

= 336000:384000:192000

= 7: 8: 4
C's share = Apti Partnership * 57000 = 12000 (Option A)

Solution 2:
Apply formula : Apti Partnership

Apti Partnership


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