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Test: Partnership - 2 - UPSC MCQ


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15 Questions MCQ Test - Test: Partnership - 2

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Test: Partnership - 2 - Question 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?

Detailed Solution for Test: Partnership - 2 - Question 1

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

∴ Simran's share = Rs.= Rs. 10,500.

Test: Partnership - 2 - Question 2

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?

Detailed Solution for Test: Partnership - 2 - Question 2

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

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Test: Partnership - 2 - Question 3

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?

Detailed Solution for Test: Partnership - 2 - Question 3

A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.
B's share = Rs. = Rs. 7,500.

Test: Partnership - 2 - Question 4

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?

Detailed Solution for Test: Partnership - 2 - Question 4

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.

Test: Partnership - 2 - Question 5

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?

Detailed Solution for Test: Partnership - 2 - Question 5

Let B's capital be Rs. x.
Then, 
⇒ 14x = 126000
x = 9000.

Test: Partnership - 2 - Question 6

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:

Detailed Solution for Test: Partnership - 2 - Question 6

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.= Rs. 14,700.

Test: Partnership - 2 - Question 7

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

Detailed Solution for Test: Partnership - 2 - Question 7

For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
∴ B's share = Rs.= Rs. 2660.

Test: Partnership - 2 - Question 8

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?

Detailed Solution for Test: Partnership - 2 - Question 8

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.= Rs. 890.

Test: Partnership - 2 - Question 9

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?

Detailed Solution for Test: Partnership - 2 - Question 9

Suppose B joined for x months. Then,
Then, 
⇒ x = = 8.
So, B joined for 8 months.

Test: Partnership - 2 - Question 10

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?

Detailed Solution for Test: Partnership - 2 - Question 10

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

Test: Partnership - 2 - Question 11

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:

Detailed Solution for Test: Partnership - 2 - Question 11


= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
∴ A's share = Rs.= Rs. 330.

Test: Partnership - 2 - Question 12

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?

Detailed Solution for Test: Partnership - 2 - Question 12

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.

Test: Partnership - 2 - Question 13

A, B and C enter into a partnership in the ratioAfter 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.

Detailed Solution for Test: Partnership - 2 - Question 13

Ratio of initial investments == 105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
∴ A : B : C =: (40x x 12) : (36x x 12)
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = Rs.= Rs. 4000.

Test: Partnership - 2 - Question 14

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:

Detailed Solution for Test: Partnership - 2 - Question 14

Let the total profit be Rs. 100.
After paying to charity, A's share = Rs.= Rs. 57.
If A's share is Rs. 57, total profit = Rs. 100.
If A's share Rs. 855, total profit == 1500.

Test: Partnership - 2 - Question 15

Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.

Detailed Solution for Test: Partnership - 2 - Question 15

Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share = 16500 × 4/11 = 1500 × 4 = 6000.

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