IBPS - QUANTITATIVE APTITUDE - PARTNERSHIP

PARTNERSHIP

   If two or more than two persons agree to start a business jointly then the persons are called partners and this dealing is called partnership.

Partnership is of two kinds :

       I. Simple Partnership --- When the capital of partners are invested for the same time, then this type of partnership is called simple partnership. In such a case the profit or loss is distributed in proportional to the capital invested.

  

      II. Compound Partnership ---- When  the capital which is equal or unequal,

of the partners are invested for different times, this type of partnership is called compound partnership. In such a case profit or loss is distributed in proportional to the products of the capital and the periods of their investments.

 NOTE : Sleeping partner--- A sleeping partner only provides capital for the business whereas a working partner not only provides capital for the business but also takes part in the management of the business.

  An important formula for solving the problems of partnership is :

  If A and B are two partners then

  Capital of A * time invested in the capital of A       Profit of A

  ______________________________________________   =  ___________

  Capital of B * time invested in the capital of B        Profit of B

Example 1

     If Naveen and vikash start a business. Naveen invests Rs.1000 for 8 months

      and vikash  Rs. 1,500 for 6 months. they gain Rs 340. what is vikash's share?

Solution :

   Naveen puts Rs. 1000 for 8 months. If he wants to have same amount of profit  as before in one month he has to increase his investment 8 time

He must invest Rs. 8,000 for 1 month.

Similarly Vikash must also invest Rs. 6 *1500 Rs. i.e 9000 for 1 month

Hence Rs.340 must divided in the ratio of 

    8000 : 9000  or  8 : 9

                           

Vikash's share ==Rs.160 Ans.

Example 2

     If Sanjay and vinod are two partners. If Sanjay puts in Rs. 400 for 12 months, how mush Vinod's capital must be used for 8 months so that the profits may be divided in the ratio 2:1 ?

Solution :

    Sanjay's investment for 1 month in order to have the same profit as before =Rs 400 * 12=RS. 4,800

  

Now profits are distributed in 2 :1

      Vinod is investment=  = Rs. 2,400 for 1 month  Ans.

Example 3

          Ajay, vijay and Anand started a shop by investing Rs. 2,700, Rs. 8,100 and Rs. 7,200 respectively. At the end of the one year , the profit was distributed. If vijay's share was Rs 3600. What their total profit ?

Solution :

  

            Ajay : Vijay : Anand = 2700 : 8100 : 7200  =  3 : 9 : 8

                 

                   Vijay = 9 = 3600                  3+9+8=20

                    

                                     20= =Rs. 8000 Ans.

Example 4

         A, B and C rented a video cassette for one week at a rent of Rs. 350. If they use it for 6 months , 10 months and 12 months respectively. what is the rent to be paid by C's ?

Solution :

         A : B : C = 6 :10 :12  = 3 : 5 : 6

3+5+6=14

     C's amount == Rs.150 Ans.

 Example 5

          A and B entered into partnership with capitals in the ratio of 4 and 5. After three months A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. Find their shares of profit.

Solution :

   Suppose A invests Rs. 4 and B invests Rs.5

   Money withdrawn by A= =Re 1.

   Money withdrawn by B= =Re 1.

   Calculating equivalent capital for 1 month for each we have

   A's capital = Rs. (4 * 3 + 3 * 7)  = Rs. 33 

   B's capital = Rs. (5* 3 + 4 * 7)  = Rs. 43

   Ratio of the capital    =  33 : 43

  A's share = Rs. =Rs. 330

  B's share = Rs. =Rs. 430