Partnership Question And Answer-Quantitative Aptitude Test

Partnership Question And Answer :-

Here i am going to give you Partnership Question And Answer. if you are looking online Quantitative Aptitude Test you can stop at Jobriya.co.in in this plate form  i am putting Partnership Question and answer on the behalf of latest pattern on SSC, Bank and other Government Jobs. so simply candidates can give Online Quantitative Aptitude Test . 

Introducation:- When more than one person agree to invest their money to run a business or firm then this kind of agreement is called partnership

Types of Partnership:-  there are 2 types

  • Sleeping Partner: Sleeping partner is the person who provides only investment but does not take part in running the business.
  • Working Partner: Working partner is the person who not only invests the money but also takes part in running the business. For this work he is paid some salary or some percent of profit in addition.

Formula of Partnership, Partnership Tricks:-

  • If two partners A and B are investing their money to run a business then
    (Simple Partnership)

Partnership Shortcut Methods

where Capital of A : Capital of B = Profit of A : Profit of B

  • If two partners A and B are investing their money for different period of time to run a business then
    (Compound Partnership)

Partnership Shortcuts

Capital of A × Time period of A : Capital of B × Time period of B = Profit of A : Profit of B

Example:-

If n partners are investing for different period of time then

C1T1 : C2T2 : C3T3 : … : CnTn = P1 : P2 : P3 : … : Pn

Where C is the capital invested, T is time period of capital invested and P is profit earned.

Partnership Short Tricks 1

  • If two partners are investing their money C1 and C2 for equal period of time and their total profit is P then their shares of profit are

Partnership Shortcut Methods

  • If these partners are investing their money for different period of time which is T1 and T2, then their profits are

Partnership shortcut Formulas

Partnership Short Tricks 2:- If n partners are investing their money C1, C2, …, Cn for equal period of time and their total profit is P then their shares of profit are

Partnership Shortcut Formulas

If these partners are investing their money for different period of time which is T1, T2,… , Tn then their profits are

Partnership Shortcut Methods

Partnership Solved Problems 

Ex. 1. A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
Sol. Ratio of shares of A, Band C = Ratio of their investments
= 120000 : 135000 : 150000 = 8 : 9 : 10.
A’s share = Rs. (56700 x (8/27))= Rs. 16800.
B’s share = Rs. ( 56700 x (9/27)) = Rs. 18900.
C’s share = Rs. ( 56700 x (10/27))=Rs. 21000.

Ex. 2. Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the lire of each.
Sol. Clearly, Alfred invested his capital for 12 months, Peter for 9 months and Ronald
for 3 months.
So, ratio of their capitals = (45000 x 12) : (60000 x 9) : (90000 x 3)
= 540000 : 540000 : 270000 = 2 : 2 : 1.
Alfred’s share = Rs. (16500 x (2/5)) = Rs. 6600
Peter’s share = Rs. (16500 x (2/5)) = Rs. 6600
Ronald’s share = Rs. (16500 x (1/5)) = Rs. 3300.

Ex. 3. A, Band C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.6000 B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.
Sol. Ratio of the capitals of A, Band C
= 20000 x 5 + 15000 x 7 : 20000 x 5 + 16000 x 7 : 20000 x 5 + 26000 x 7
= 205000:212000 : 282000 = 205 : 212 : 282.
A’s share = Rs. 69900 x (205/699) = Rs. 20500 I
B’s share = Rs. 69900 x (212/699) = Rs. 21200;
C’s share = Rs. 69900 x (282/699) = Rs. 28200.

Ex. 4. A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B ?
Sol. Let C’s capital = Rs. x. Then, B’s capital = Rs. (2/3)x
A’s capital = Rs. (3 x (2/3).x) = Rs. 2x.
Ratio of their capitals = 2x : (2/3)x 😡 = 6 : 2 : 3.
Hence, B’s share = Rs. ( 6600 x (2/11))= Rs. 1200.

Ex. 5. Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A’s share of rent is Rs. 720, find the total rent of the field.
Sol. Ratio of shares of A, B, C, D = (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72 : 50 : 140: 63.
Let total rent be Rs. x. Then, A’s share = Rs. (72x)/325
(72x)/325=720 = x=(720 x 325)/72 = 3250
Hence, total rent of the field is Rs. 3250.

Ex.6. A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 :1. After bow many months did B join?
Sol. Suppose B joined after x months. Then, B’s money was invested for (12 – x)
(76000 x 12)/(57000 x (12-x) =2/1 = 912000=114000(12-x)
114 (12 – x) = 912=12-x=8x=4
Hence, B joined after 4 months.

Ex.7. A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.
Sol. Let the initial investments of A, Band C be Rs. 3x, Rs. 2x and Rs. 4x respectively.
Then,
(3x x 36) : [(2x x 12) + (2x + 270000) x 24] : [(4x x 24) + (4x +270000) x 12]=3:4:5
1O8x : (72x + 6480000) : (144x + 3240000) = 3 : 4 : 5
108x /(72x+6480000)=3/4 = 432x = 216x + 19440000
=216x = 19440000
x=90000
Hence, A’s initial investment = 3x = Rs. 2,70,000;
B’s initial investment = 2x = Rs. 1,80,000;
C’s initial investment = 4x = Rs. 3,60,000.

Partnership Quiz 

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