Aptitude preparation
Aptitude on Partnership
Aptitude questions and answers on Partnership


1. Suriya started a business investing Rs. 70,000. Sekhar meet him after 6months with an amount of Rs. 1 lakh 5thousands and Sunil meet them with Rs. 1.4 lakhs after another 6months. Find the amount ratios among Suriya, Sekhar and Sunil respectively, after 3 years?

A.

12 : 15 : 14

B.

12 : 15 : 16

C.

10 : 12 : 16

D.

18 : 12 : 10


Correct Answer:Option
B
Explanation:
Suriya : Sekhar : Sunil = (70000 × 36) : (105000 × 30) : (140000 × 24) = 12 : 15 : 16.
2. Ramu, Sam and Rajesh enter into a partnership. They invest Rs. 40,000, Rs. 60,000 and Rs. 1,00,000 respectively. At the end of the first year, Sam withdraws Rs. 20,000, while at the end of the second year, Rajesh withdraws Rs. 60,000. In what ratio will the profit be shared at the end of 3 years?

A.

6 : 5 : 13

B.

6 : 5 : 10

C.

8 : 5 : 10

D.

8 : 5 : 13


Correct Answer:Option
A
Explanation:
Ramu : Sam : Rajesh = (40000 × 36) : (60000 × 12 + 20000 × 24) : (100000 × 24 + 60000 × 12) = 144 : 120 : 312 = 6 : 5 : 13.
3. Surya and Sunitha started a business investing Rs. 95,000 and Rs. 25,000 respectively. In what ratio the profit earned after 2 years be divided between Surya and Sunitha respectively?

A.

19 : 5

B.

19 : 15

C.

9 : 15

D.

None of these


Correct Answer:Option
A
Explanation:
Surya : Sunitha = 95000 : 25000 = 95 : 25 = 19 : 5.
4. Shobha and Sujatha are partners in a business. Shobha invests Rs. 35,000 for 8 months and Sujatha invests Rs. 42,000 for 10 months. Out of a profit of Rs. 31,570, Shobha’s share is?


Correct Answer:Option
C
Explanation:
Ratio of their shares = (35000 × 8) : (42000 × 10) = 2: 3.
Shobha’s share = Rs. 31570 × 2/5 = Rs. 12628.
5. Chandu and Ravi started a business investing Rs. 25,000 and Rs. 45,000 respectively. Out of a total profit of Rs. 14,900, Ravi’s share is?


Correct Answer:Option
D
Explanation:
Ratio of their shares = 25000 : 45000 = 5 : 9.
Ravi’s share = Rs. 14900 × 9/14 = Rs. 9578.
6. Ram ,Rahim and Robert invests Rs. 50,000 for a business. Ram invested Rs. 4000 more than Rahim and Rahim Rs. 5000 more than Robert. out of a total profit of Rs. 35,000, Ram receives?

A.

Rs. 14,700

B.

Rs. 14,200

C.

Rs. 14,500

D.

Rs. 14,000


Correct Answer:Option
A
Explanation:
Let Robert = x. Then, Rahim = x + 5000 and Ram = 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.
∴ Ram’s share = Rs. 35000 × 21/50 = Rs. 14,700.
7. A, B, C hired a car for Rs. 2220 and used it for 5, 6 and 9 hours respectively. Calculate the hire charges paid by B ?

A.

Rs. 555

B.

Rs. 666

C.

Rs. 888

D.

Rs. 999


Correct Answer:Option
B
Explanation:
A : B : C = 5 : 6 : 9.
Hire charges paid by B = Rs. 2220 × 6/20 = Rs. 666.
8. Kajal, Karan and Kavya started a textile business with their investments in the ratio 1 : 3 : 5. After 4 months, Kajal invested the same amount as before and Karan and Kavya withdrew half of their investments. Find their year end profit ratios?

A.

5 : 6 : 10

B.

5 : 6 : 7

C.

3 : 6 : 7

D.

5 : 8 : 10


Correct Answer:Option
A
Explanation:
Let their initial investments be a, 3a and 5a respectively. Then,
Kajal : Karan : Kavya = (a × 4 + 2a × 8) : (3a × 4 + 3a/2 × 8) : (5a × 4 + 5a/2 × 8)
After final calculation,
= 20a : 24a : 40a = 5 : 6 : 10.
9. John and Johny invested in a business. They earned some profit which they divided in the ratio of 5 : 8. If John invested Rs. 50,000, Find the amount which Johny invested?

A.

Rs. 20,000

B.

Rs. 90,000

C.

Rs. 80,000

D.

Rs. 50,000


Correct Answer:Option
C
Explanation:
Suppose Johny invested Rs. y.
then, 50000/y = 5/8 or y = [ (50000 × 8) / 5 ] = 80000
Johny invested 80,000rs.
10. A starts business with Rs. 45000 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 4 : 6. What is B’s contribution in the capital?

A.

Rs. 1,15,715

B.

Rs. 1,25,715

C.

Rs. 2,15,715

D.

Rs. 2,25,715


Correct Answer:Option
A
Explanation:
Let B’s capital be Rs. x.
Then, [(45000 × 12) / 7x ] = 4/6 ↔ 28x = 3240000 ↔ x = 115715 rs .
11. Sun and Moon started a business with initial investments in the ratio 4 :5 and their annual profits were in the ratio 6 : 8. If Sun invested the money for 10 months, for how many months did Moon invest his money?

A.

10.4 months

B.

10.6 months

C.

10.8 months

D.

10.9 months


Correct Answer:Option
B
Explanation:
Suppose Sun invested Rs. 14x for 10 months and Moon invested Rs. 15x for y months.
Then, [ (4x × 10) / (5x × y) ] = 6/8 ↔ 30y = 320 ⇔ Y = 10.6.
Hence, Moon invested the money for 10.6 months.
12. A started a software business by investing Rs. 2,00,000. After six months, B joined A with a capital of Rs. 4,00,000. After 3 years, they earned a profit of Rs. 3,45,000. What was Simran’s share in the profit?

A.

Rs. 1,29,375

B.

Rs. 2,29,375

C.

Rs. 11,29,375

D.

Rs. 12,29,375


Correct Answer:Option
A
Explanation:
A : B = (200000 × 36) : (400000 × 30) = 72 : 120 = 9 : 15.
∴ A’s share = Rs. 345000 × 9/24 = Rs. 129375.
13. X and Y started a business in partnership investing Rs. 30,000 and Rs. 25,000 respectively. After six months, Z joined them with Rs. 40,000. What will be Y’s share in the total profit of Rs. 75,000 earned at the end of 2 years from the starting of the business?

A.

Rs. 20058

B.

Rs. 21058

C.

Rs. 22058

D.

None


Correct Answer:Option
C
Explanation:
X : Y : Z = (30000 × 24) : (25000 × 24) : (40000 × 18) = 720 : 600 : 720 = 18 : 15 : 18 = 6 : 5 : 6.
∴ Y’s share = Rs. 75000 × 5/17 = Rs. 22058.
14. A and B entered into a partnership investing Rs. 3,50,000 and Rs. 2,20,000 respectively. After 3 months, A withdrew Rs. 50000 while B invested Rs. 50000 more. After 3 more months, C joins the business with a capital of Rs. 2,10,000. Find the share of B exceeds that of C, out of a total profit of Rs. 2,60,400 after one year ?

A.

Rs. 58831

B.

Rs. 98831

C.

Rs. 94831

D.

Rs. 54831


Correct Answer:Option
A
Explanation:
A : B : C Investment ratios,
= (350000 × 3 + 300000 × 9) : (220000 × 3 + 270000 × 9) : (210000 × 6)
= 3750000 : 3090000 : 1260000 = 375 : 309 : 126 = 125 : 103 : 42.
∴ Difference of B and C’s shares = Rs. 260400 × 103/270  260400 × 42/270
⇒ 99337  40506 = Rs. 58831.
15. Dog, Cat, Rat started a business. Twice Dog’s capital is equal to thrice Cat’s capital and Cat’s capital is four times Rat’s capital. Out of a total profit of Rs. 250,500 at the end of the year, Find the Cat’s share ?

A.

Rs. 76,090

B.

Rs. 91,090

C.

Rs. 56,090

D.

Rs. 76,090


Correct Answer:Option
B
Explanation:
Let us assume Dog’s, Cat’s and Rat’s capitals are A, B and C respectively.
So C = n. Then, B = 4n and 2A = 3 × 4n = 12n or A = 6n.
∴ A : B : C = 6n : 4n : n = 6 : 4 : 1.
So, Cat’s capital = Rs. 250500 × 4/11 = Rs. 91,090.
16. A, B and C rent a house. A puts 100rs for 7 months, B puts 120rs for 5 months and C puts 150rs for 3 months for grazing. If the rent of the house is Rs. 1750, how much must C pay as his share of rent?

A.

Rs. 350

B.

Rs. 450

C.

Rs. 460

D.

Rs. 400


Correct Answer:Option
B
Explanation:
A : B : C = (100 × 7) : (120 × 5) : (150 × 3) = 70 : 60 : 45 = 14 : 12 : 9.
∴ C’s rent = Rs. 1750 × 9/35 = Rs. 450.
17. In a business, Simran and Saritha invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by Simran and Sakshi was 3 : 2. If Rs. 3,40,000 was their profit , how much amount did Sakshi receive?

A.

Rs. 1,04,615

B.

Rs. 1,04,391

C.

Rs. 1,02,542

D.

None of these


Correct Answer:Option
A
Explanation:
Let us assume capitals of Simran, Sakshi and Saritha are x, y and z respectively.
x : y = 3 : 2 ⇒ y : x = 2 : 3 = 4 : 6 and x : z = 2 : 1 = 6 : 3.
So, y : x : z = 4 : 6 : 3 or A : B : C = 6 : 4 : 3.
∴ B’s share = Rs. 340000 × 4/13 = Rs. 1,04,615.
18. A received Rs. 4000 as his share out of the total profit of Rs. 7000 which A and B earned at the end of one year. If A’s investments Rs. 20,000 for 6 months, whereas B invested his amount for the whole year, what was the amount invested by B?

A.

Rs. 9500

B.

Rs. 8500

C.

Rs. 7500

D.

None of these


Correct Answer:Option
C
Explanation:
Suppose B invested Rs. x. Then, A : B = (20000 × 6) : (x ×12)
∴ 120000/12x = 4000/3000 or x = 360000/48 = 7500.
So B invested amount = 7500rs
19. John started a business with Rs. 10,000 and is joined afterwards by William with Rs. 30,000. After how many months did William join if the profits at the end of the year are divided equally?

A.

3 months

B.

6 months

C.

12 months

D.

8 months


Correct Answer:Option
D
Explanation:
Suppose William joined after x months.
Then, 10000 × 12 = 30000 × (12  x) ↔ 1 × 12 = 3 × (12  x) ⇔ 3x = 24 ↔ x = 8.
So William joined after 8 months.
20. X,Y,Z started a business. X invests 5lakhs and addS 2lakhs after one year, Y invests 8lakhs and withdraws 3lakhs after 2years and Z invests 7lakhs. Find their profit ratios after 3years?

A.

3 : 7 : 7

B.

7 : 7 : 7

C.

3 : 7 : 3

D.

None


Correct Answer:Option
A
Explanation:
X : Y : Z = (5 lakhs × 1) + (2 lakhs × 2) : (8 lakhs × 2 + 5 lakhs × 1) : (7 lakhs × 3) ⇒ 9 lakhs : 21 lakhs : 21 lakhs ⇒ 3 : 7 : 7.
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