Learn and practice Problems on partnership with easy explaination and shortcut tricks. All questions and answers on partnership covered for various Competitive Exams
Solve Problems:
1) Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit?
2) A, B and C are partners. They have invested Rs.35000, Rs. 25000 and 10,000 respectively for the same period. If the total profit is Rs. 18000, find the share of A.
Apply formula: Profit of A/ Profit of B = C1*T1 / C2*T2
5/3=C1*T1 / C2*T2
5/3= 70000*12 / 60000*x
300000 X = 2520000
x=252/30
=8.4 months
4) Suresh started a business by investing a certain amount of money. Rakesh joined him after four months by investing Rs. 50000. If after one year Suresh and Rakesh share the profit in the ratio of 10:8, how much capital did Suresh invest?
Apply formula: Profit of Suresh/ Profit of Rakesh = C1*T1 / C2*T2
10/8= x*12 / 50000*8
X = 41666.7
5) A and B enter into a partnership by investing Rs.14000 and Rs. 16000 respectively. After 8 months, C joins them with a capital of Rs.12000. Find the share of C in a total profit of Rs. 57000 after 2 years.
6) Ramesh and Suresh enter into a partnership with capitals in the ratio of 10:12. At the end of 8 months, Ramesh withdraws. If they receive profits in the ratio of 10:18. Find how long Suresh’s capital was used.
Let the capital of Ramesh (C1) =10 And the capital of Suresh is (C2) = 12
Time period spend by Ramesh (T1) = 8 months Let, time period spend by Suresh (T2) = x months
The ratio of their profit (p1:p2) is 10: 18 Apply formula: (C1 * T1)/ (C2 * T2) = p1/p2 (10 * 8)/ (12*x) = (10/18) (80/12x) = (5/9) 20/3x = 5/9 180 = 15x Hence, x=12 months
Try to solve more problems on partnership.
7) Raju started a business with Rs. 900. Kamal joined him after few months with an amount of 600. If the profits at the end of the year were divided in the ratio of 2:1, after how many months Kamal joined the business?
The capital of Raju (C1) =900 And the capital of Kamal is (C2) = 600
Time period spend by Raju (T1) = 12 months Let the time period spend by Kamal (T2) = x months
The ratio of their profit (p1:p2) is 2: 1
Apply the formula: (C1 * T1)/ (C2 * T2) = p1/p2 (900 * 12)/ (600*x) = (2/1) 10800/600 = 2* x x= 18/2 x= 9 months, i.e., Kamal spend 9 months. So, Kamal joined after, 12 – 9= 3 months.
Try to solve more problems on partnership.
8) Mahesh and Suresh rent a pasture for 12 months. Mahesh puts in 200 cows for 8 months. How many cows can Suresh put in the pasture for the remaining 4 months if he pays 1(1/2) as much as Mahesh?
Let Mahesh’s cow (C1) = 200 cows, and time spend T1 = 8 months Suresh’s cow (C2) = y cows, and time spend T2 = 4 months Let the profit of Mahesh = x Then the profit of Suresh = 1(1/2)*x
Hence, Suresh can put 600 cows for the remaining 4 months.
Try to solve more problems on partnership.
9) X and Y enter into a partnership for a year. X invests Rs. 6000, and Y invests Rs. 8000. After 4 months, they admit Z, who invests Rs. 9000. If Y withdraws his contribution after 6 months, how would they share a profit of Rs 1000 at the end of the year?
X’s capital be C1 = 6000 Y’s capital be C2 = 8000 Z’s capital be C3 = 9000 X’s time be T1 = 12 months Y’s time be T2 = 6 months Z’s time be T3 = 8 months Profit = 1000
The profit will be divided in the ratio:-
(C1 * T1): (C2 * T2): (C3 * T3) (6000*12): (8000*6): (9000*8) i.e., 72000: 48000: 72000 Or, 72:48:72 Divide the whole equation by 24. The ratio will be 3: 2: 3 Sum of the ratios will be 3+2+3= 8
Apply formula:
X’s share = (X’s ratio/ sum of all three ratios)* total profit Hence, X’s share is (3/8) * 10000 = 375 X’s and Z’s share are equal in ratio, so Z’s share =375 Y’s share = 1000 – (A + B)’s share = 1000 – 750 = 250
10) Praveen and Sunny enter into a partnership. Praveen puts in Rs. 50 and Sunny put in Rs. 45. At the end of 4 months Praveen withdraws half of his capital, and at the end of 6 months, Sunny withdraws half of his capital. Ashu Bhati then enters with a capital of Rs. 70. At the end of 12 months, in what ratio will the profit be divided?
Let Praveen’s capital is C1 = 50 for period T1= 4 months, and C11= 25 for period T11= 8 Sunny’s capital is C2 = 45 for period T2 = 6 months, and C22 = 45/2 for period T22= 6 months. Ashu Bhati’s capital is C3 = 70 for period T3 = 6 months.
Now, apply the profit ratio formula:
(C1 * T1): (C2 * T2): (C3 * T3) = p1: p2: p3 But here we have 2 different values for Praveen and Sunny. So, (C1 * T1 + C11 * T11): (C2 * T2 + C22 * T22): (C3 * T3) = p1: p2: p3 Now, (50*4 + 25*8): (45*6 + (45*2)/6): (70*6) = p1: p2: p3 The ratio of their profit is p1: p2: p3 = 400: 405: 420 Divide all ratios by 25. Hence, the ratio will be 80: 81: 84