A, B and C enter into a partnership in the ratio 7?2 : 4?3 : 6?5. After 4 months

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Question
A, B and C enter into a partnership in the ratio 7⁄2 : 4⁄3 : 6⁄5. After 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:
Options
A. Rs. 2100
B. Rs. 2400
C. Rs. 3600
D. Rs. 4000

Correct Answer

Rs. 4000

Explanation

Ratio of initial investments =	❨	7	:	4	:	6	❩	= 105 : 40 : 36.
		2		3		5

Let the initial investments be 105x, 40x and 36x.

∴ A : B : C =	❨	105x x 4 +	150	x 105x x 8	❩	: (40x x 12) : (36x x 12)
			100

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs.	❨	21600 x	10	❩	= Rs. 4000.
			54

Partnership problems

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1. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
Options
A. 625
B. 630
C. 640
D. 650

2. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Options
A. Rs. 1550
B. Rs. 1650
C. Rs. 1750
D. Rs. 2000

3. The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Options
A. 8
B. 10
C. 12
D. Cannot be determined
E. None of these

4. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
Options
A. 2
B.

2 1

2
C. 3
D. 4

5. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
Options
A. Rs. 2160
B. Rs. 3120
C. Rs. 3972
D. Rs. 6240
E. None of these

6. 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?
Options
A. Rs. 7500
B. Rs. 8000
C. Rs. 8500
D. Rs. 9000

7. 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?
Options
A. Rs. 7500
B. Rs. 9000
C. Rs. 9500
D. Rs. 10,000

8. 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

9. 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

10. 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

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