Arithmetic aptitude :: Partnership :: General

• Partnership - General
• Partnership - Data Sufficiency 1
• Partnership - Data Sufficiency 2
• Partnership - Data Sufficiency 3
• Partnership - Important Formulas and Facts

Partnership:

When two or more people runs a joint business, they are called partners and the deal is known as partnership.

Ratio of Divisions of Gains

If two partners, $A$ and $B$ invest Rs. $x$ and Rs. $y$ respectively for a year in a business, then at the end of the year:
($A$'s share of profit) : ($B$'s share of profit) $=x:y$.

If $A$ invests Rs. $x$ for $p$ months and $B$ invests Rs. $y$ for $q$ months then,
($A$'s share of profit) : ($B$'s share of profit) $=xp:yq$.

Working and Sleeping Partners:

working partner is the one who runs the business and sleeping partner is the one who simply invests the money in the business.

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

Answer:

Explanation:

Simran : Nanda $=(50000\times 36):(80000\times 30)$ $=3:4$.  

Simran's share = Rs. $\left(24500\times\frac{3}{7}\right)$ = Rs. 10500.

Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

Answer:

Explanation:

Kamal : Sameer $=(9000\times 12)$ $:(8000\times 7)$

$=108:56$ $=27:14$.

Sameer's share = Rs. $\left(6970\times\frac{14}{41}\right)$ = Rs. 2380.

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives :

Answer:

Explanation:

Let $C=x$ Then, $B=x+5000$ and $A=x+5000+4000$ $=x+ 9000$.

So, $x+x+5000+x+9000$ $= 50000$    

$\Leftrightarrow 3x = 36000$ $x=12000$.

$A:B:C$ $=21000:17000:12000$ $= 21:17:12$.

A's share = Rs.  $\left(35000\times\frac{21}{50}\right)$ = Rs. 14,700.

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal ?

Answer:

Explanation:

Arun : Kamal : Vinay $=(8000\times 6)$ $:(4000\times 8)$ $:(8000\times 8)$

$=48:32:64$

$=3:2:4$.

$\therefore$ Kamal's share = Rs. $\left(4005\times\frac{2}{9}\right)$ = Rs. 890.

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?

Answer:

Explanation:

$A:B:C$ $=\left(20000\times 24\right)$ $:\left(15000\times 24\right)$ $:\left(20000\times 18\right)$ $= 4:3:3$.

B's share = Rs. $\left(25000\times\frac{3}{10}\right)$ = Rs. 7500.

• Partnership - General
• Partnership - Data Sufficiency 1
• Partnership - Data Sufficiency 2
• Partnership - Data Sufficiency 3