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Partnership - General Questions (1)

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  • Partnership - General Questions
1. 

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

Answer: Option D

Explanation:

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

 Simran's share = Rs. 1-sym-oparen-h1 24500 x 3 1-sym-cparen-h1 = Rs. 10,500.
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2. 

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

Answer: Option A

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. 1-sym-oparen-h1 4005 x 2 1-sym-cparen-h1 = Rs. 890.
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3. 

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

A. 7 : 6 : 10
B. 12 : 15 : 16
C. 42 : 45 : 56
D. Cannot be determined

Answer: Option B

Explanation:

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.

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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

Answer: Option D

Explanation:

Suppose B joined for x months. Then,

Then, 1-sym-oparen-h1 85000 x 12 = 3 1-sym-cparen-h1
42500 x x 1
 x = 1-sym-oparen-h1 85000 x 12 1-sym-cparen-h1 = 8.
42500 x 3

So, B joined for 8 months.

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5. 

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. 1-sym-oparen-h1 25000 x 3 1-sym-cparen-h1 = Rs. 7,500.
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6. 

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. 1-sym-oparen-h1 175 x 9 1-sym-cparen-h1 = Rs. 45.
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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

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.

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8. 

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew1-div-1by4of his capital and B withdrew1-div-1by5of 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 = 1-sym-obracket-h1 4x x 3 + 1-sym-oparen-h1 4x - 1 x 4x 1-sym-cparen-h1 x 7 1-sym-cbracket-h1 : 1-sym-obracket-h1 5x x 3 + 1-sym-oparen-h1 5x - 1 x 5x 1-sym-cparen-h1 x 7 1-sym-cbracket-h1
4 5

   = (12x + 21x) : (15x + 28x)

   = 33x :43x

   = 33 : 43.

 A's share = Rs. 1-sym-oparen-h1 760 x 33 1-sym-cparen-h1 = Rs. 330.
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