A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,50

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Question
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?
Options
A. 4 months
B. 5 months
C. 6 months
D. 8 months

Correct Answer

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.

Partnership problems

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1. 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?
Options
A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60

2. 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:
Options
A. Rs. 1425
B. Rs. 1500
C. Rs. 1537.50
D. Rs. 1576

3. 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?
Options
A. Rs. 890
B. Rs. 1335
C. Rs. 1602
D. Rs. 1780

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?
Options
A. 3 : 5 : 2
B. 3 : 5 : 5
C. 6 : 10 : 5
D. Data inadequate

5. 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?
Options
A. 7 : 6 : 10
B. 12 : 15 : 16
C. 42 : 45 : 56
D. Cannot be determined

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:
Options
A. Rs. 8400
B. Rs. 11,900
C. Rs. 13,600
D. Rs. 14,700

7. 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?
Options
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

8. 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.
Options
A. Rs. 1900
B. Rs. 2660
C. Rs. 2800
D. Rs. 2840

9. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1⁄5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Options
A. Rs. 330
B. Rs. 360
C. Rs. 380
D. Rs. 430

10. 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?
Options
A. Rs. 9,423
B. Rs. 10,250
C. Rs. 12,500
D. Rs. 10,500

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