A and B entered into partnership A invests Rs. 16,000 for 8 months and B remains

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Question
A and B entered into partnership A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit. B contributed?
Options
A. Rs. 11900
B. Rs. 10500
C. 13600
D. 12800

Correct Answer

12800

Explanation

Ratio of profits of A and B = 5/7 : 2/7 = 5 : 2
? (16000 x 8)/(N x 4) = 5/2
? 20N = 256000
? N = 128000
So, B contributed Rs. 12800.

Partnership problems

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1.
A, B and C entered into partnership by making investments in the ratio 3 : 5 : 7 After a year, C invests another Rs. 3,37,600 while A withdrew Rs. 45,600. The ratio of investment then changes to 24 : 59 : 167. How much did A invest initially?
Options
A. Rs. 45,600
B. Rs. 96,000
C. Rs. 1,41,600
D. None of these

2.
In a partnership A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4,600 B's share is?
Options
A. Rs. 800
B. Rs. 1000
C. Rs. 650
D. Rs. 960

3.
Rajan and Sajan started a business initially with ? 14200 and ? 15600, respectively. If total profits at the end of year is ? 74500, what is the Rajan's share in the profit?
Options
A. ? 39000
B. ? 39600
C. ? 35000
D. ? 35500

4.
P and Q entered a partnership for 3 yr. At the start of the business, they invested ? 13000 and ? 25000, respectively. At the end of 3 yr their total profit was ? 76000. What will be share of Q out of this profit?
Options
A. ? 50000
B. ? 26000
C. ? 55000
D. ? 21000

5.
A and B started a business with ? 20000 and ? 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership with the condition that A, B and C will share profit equally and pays ? 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of?
Options
A. 10 : 1
B. 1 : 10
C. 9 : 10
D. 10 : 9

6.
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months. C joins of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year, by?
Options
A. Rs. 1200
B. Rs. 2400
C. Rs. 3600
D. Rs. 4800

7.
Kanti started a business investing Rs. 90000. Five months later Sudhakar joined him by investing Rs. 8000. If they make a profit of Rs. 6970 at the end of year. Sudhakar's share of profit is?
Options
A. Rs. 3690
B. Rs. 1883.73
C. Rs. 2380
D. Rs. 3864

8.
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, total profit is?
Options
A. Rs. 1576
B. Rs. 1537.50
C. Rs. 1500
D. Rs. 1425

9.
Sanjay and Komal started a business with Rs. 15000 each. After 8 months Komal withdrew Rs. 10000. If at the end of a year there was a profit of Rs. 32000. What was the share of Sanjay in the profit?
Options
A. Rs. 18000
B. Rs. 18500
C. Rs. 16500
D. Rs. 16000

10.
A is a working and B is a sleeping partner in a business. A puts in Rs. 12,000 and B Rs. 20,000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600 the money received by A is?
Options
A. Rs. 3240
B. Rs. 4200
C. Rs. 3600
D. Rs. 4500

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