Partnership Practice Questions

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

Question 6
Hard
A invested Rs 60000 in a business. After few months, B joined him with Rs 24000. The total profit was divided between them in the ratio 3 : 1 at the end of the year. After how many months did B join?
A 1 month
B 2 months
C 3 months
D 4 months
Correct Answer: B

Explanation:

Let B invest for t months. (60,000 * 12) / (24,000 * t) = 3 / 1 => 720,000 / 24,000t = 3 => 30 / t = 3 => t = 10 months. Hence, B joined after 12 - 10 = 2 months.
Question 7
Easy
P, Q and R start a business each investing Rs. 20,000 after 6 months P withdrew Rs.5000, Q withdrew Rs.4000 and R invests Rs.6000 more. At the end of the year, a total profit of Rs.39,780 was recorded. Find the share of P.
A Rs. 11,200
B Rs. 11,700
C Rs. 11,900
D Rs. 12,200
Correct Answer: C

Explanation:

P = (20k * 6) + (15k * 6) = 210k. Q = (20k * 6) + (16k * 6) = 216k. R = (20k * 6) + (26k * 6) = 276k. Ratio = 210 : 216 : 276 = 35 : 36 : 46. Total parts = 117. P's share = (35 / 117) * 39,780 = 35 * 340 = Rs. 11,900.
Question 8
Hard
2 friends – A and B invested in a business by investing Rs 4000 and Rs 6000 respectively. After 8 months, A added Rs 400 more and B withdrew Rs 400. What is the profit of B from a total profit of Rs 14,250 after the end of a year?
A Rs. 7,850
B Rs. 8,100
C Rs. 8,360
D Rs. 8,500
Correct Answer: C

Explanation:

A = 4,000 × 8 + 4,400 × 4 = 32,000 + 17,600 = 49,600. B = 6,000 × 8 + 5,600 × 4 = 48,000 + 22,400 = 70,400. Ratio = 496 : 704 = 31 : 44 (sum 75). B's share = (44 / 75) × 14,250 = 44 × 190 = Rs. 8,360.
Question 9
Medium
Three partners partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments, if they shared a profit in the ratio 5 : 7 : 8.
A 20 : 49 : 64
B 15 : 28 : 32
C 10 : 21 : 35
D 25 : 42 : 56
Correct Answer: A

Explanation:

Investment ratio = Profit / Time = 5/14 : 7/8 : 8/7. Multiplying by LCM(14, 8, 7) = 56: (5/14)*56 : (7/8)*56 : (8/7)*56 = 20 : 49 : 64.
Question 10
Medium
A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?
A Rs. 90,000
B Rs. 95,000
C Rs. 1,00,000
D Rs. 1,05,000
Correct Answer: A

Explanation:

Capitals = 20, 30, 50. A = (20 * 2) + (24 * 10) = 40 + 240 = 280. B = (30 * 2) + (33 * 10) = 60 + 330 = 390. C = 50 * 12 = 600. Ratio = 28 : 39 : 60. Total parts = 28 + 39 + 60 = 127. C's share = (60 / 127) * 1,90,500 = 60 * 1,500 = Rs. 90,000.