Partnership Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 16
Easy
A, B and C has Rs 40000, Rs 60000 and Rs 42000 with them. B invests half of his money in partnership with A and the remaining amount in partnership with C. 6 months later B withdraws half the amount invested with A and puts that in the partnership with C. Two years later the profit received by A and C are Rs 6400 and Rs 6720, what is the total profit received by B?
A Rs. 8,200
B Rs. 8,800
C Rs. 9,600
D Rs. 9,920
Correct Answer: C

Explanation:

B puts Rs. 30,000 with A and Rs. 30,000 with C. With A: A = 40,000 × 24 = 9,60,000; B = 30,000 × 6 + 15,000 × 18 = 4,50,000 => 32 : 15. A's profit 6,400 => B gets 6,400 × (15 / 32) = Rs. 3,000. With C: C = 42,000 × 24 = 10,08,000; B = 30,000 × 6 + 45,000 × 18 = 9,90,000 => 56 : 55. C's profit 6,720 => B gets 6,720 × (55 / 56) = Rs. 6,600. B's total profit = 3,000 + 6,600 = Rs. 9,600.
Question 17
Easy
Rahul and Rohan enter into a partnership with their capitals in the ratio 7:9. At the end of 8th month, Rahul withdraws his capital. If they receive the profits in the ratio 8:9, find how long Rohan’s capital was used.
A 6 months
B 7 months
C 8 months
D 9 months
Correct Answer: B

Explanation:

(C1 * T1) / (C2 * T2) = P1 / P2 => (7 * 8) / (9 * T2) = 8 / 9 => 56 / (9 * T2) = 8 / 9 => T2 = 56 / 8 = 7 months.
Question 18
Easy
Pradeep invested 20% more than Manu, Manu invested 10% less than Ram. If the total sum of their investments is Rs. 14,900, how much amount did Ram invest?
A Rs. 4,500
B Rs. 5,000
C Rs. 5,200
D Rs. 5,500
Correct Answer: B

Explanation:

Let Ram = 100. Manu = 90. Pradeep = 90 * 1.20 = 108. Total = 100 + 90 + 108 = 298. 298 parts = Rs. 14,900 => 1 part = 50. Ram's investment = 100 * 50 = Rs. 5,000.
Question 19
Easy
A and B started a business by investing Rs 8,000 and Rs 9,000 respectively. After 4 months A withdrew Rs 400 and B added Rs 400 more. What is the share of B from the profit of Rs 10,200?
A Rs. 5,400
B Rs. 5,560
C Rs. 5,800
D Rs. 6,000
Correct Answer: B

Explanation:

A = 8,000 × 4 + 7,600 × 8 = 92,800. B = 9,000 × 4 + 9,400 × 8 = 1,11,200. Ratio = 928 : 1,112 = 116 : 139 (sum 255). B's share = (139 / 255) × 10,200 = 139 × 40 = Rs. 5,560.
Question 20
Easy
A and B had a joint business in which A invested Rs. 60,000 in the business for one year. After 3 months B invested Rs. 80,000. At the beginning of the second year, A invested Rs. 30,000 more and B withdrew Rs. 5,000. At the end of two years, profit earned by A Rs. 35,880. What is the profit (in Rs.) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?
A Rs. 34,040
B Rs. 38,060
C Rs. 39,240
D Rs. 40,120
Correct Answer: A

Explanation:

Year 1: A = 60,000 × 12 = 7,20,000; B = 80,000 × 9 = 7,20,000. Year 2: A = 90,000 × 12 = 10,80,000; B = 75,000 × 12 = 9,00,000. Totals: A = 18,00,000; B = 16,20,000 => 10 : 9. Half the profit is shared equally and half in the capital ratio, so A's share = 0.25P + (10/19) × 0.5P = (39 / 76)P = 35,880 => P = 69,920. B's share = 69,920 - 35,880 = Rs. 34,040.