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.

Reena and Shaloo are partners in a business. Reena invests Rs. 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months. Out of a profit of Rs. 31,570, Reena's share is :

Answer:

Explanation:

Ratio of their shares $=(35000\times 8)$ $:(42000\times 10)$ $=2:3$.

Reena's share = Rs. $\left(31570\times\frac{2}{5}\right)$ = Rs. 12628.

A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in an annual profit of Rs. 40,500 are :

Answer:

Explanation:

$A:B:C$ $=35000:45000:55000$ $=7:9:11$.

A's share = Rs. $\left(40500\times\frac{7}{27}\right)$ = Rs. 10500.

B's share = Rs. $\left(40500\times\frac{9}{27}\right)$ = Rs. 13500.

C's share = Rs. $\left(40500\times\frac{11}{27}\right)$ = Rs. 16500.

Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :

Answer:

Explanation:

Ratio of their shares $=22500:35000$ $=9:14$.

Deepak's share = Rs. $\left(13800\times\frac{14}{23}\right)$ = Rs. 8400.

P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively ?

Answer:

Explanation:

P : Q = 85000 : 15000 = 85 : 15 = 17 : 3.

A, B and C enter into a partnership by investing in the ratio of 3 : 2: 4. After one 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 the initial investment of each.

Answer:

Explanation:

Let the initial investments of $A$, $B$ and $C$ be Rs. $3x$, Rs. $2x$ and Rs. $4x$ respectively.

Then, $(3x\times 36)$ $:\left[(2x\times 12)+(2x+270000)\times 24\right]$ $:\left[(4x\times 24)+(4x+270000)\times 12\right]$

$=3:4:5$.

$\Rightarrow 108x$ $:(72x+6480000)$ $: (144x+3240000)$ $= 3:4:5$

$=\frac{108}{72x+6480000}$ $=\frac{3}{4}$ $=432x$ $=216x+19440000$

$\Rightarrow 216x$ $=19440000$ $\Rightarrow x=90000$.

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