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.

A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months, B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit.

Answer:

Explanation:

$A:B:C$ $=\left(5000\times 4+2500\times 8\right)$ $:\left(4500\times 6+3000\times 6\right)$ $:\left(7000\times 6\right)$

$=40000:45000:42000$ $=40:45:42$.

A's share = Rs. $5080\times\frac{40}{127}$ = Rs. 1600.

B's share = Rs. $5080\times\frac{45}{127}$ = Rs. 1800.

C's share = Rs. $5080\times\frac{42}{127}$ = Rs. 1680.

Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999 ?

Answer:

Explanation:

Shekhar : Rajeev : Jatin

$=(25000\times 12+35000\times 12+45000\times 12)$ $:(35000\times 24)$ $:(35000\times 12)$

$= 1260000:840000:420000$ $= 3:2:1$.

Rajeev's share = Rs. $\left(150000\times \frac{2}{6}\right)$ = Rs. 50000.

A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?

Answer:

Explanation:

$A:B:C$ =(25 lakhs$\times$1)+(35 lakhs$\times$2) :(35 lakhs$\times$2+25 lakhs$\times$1) :(30 lakhs$\times$3)

= 95 lakhs : 95 lakhs : 90 lakhs $=19:19:18$.

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

Answer:

Explanation:

$A:B:C$ $=(40000\times 36)$ $:(80000\times 12+40000\times 24)$ $:(120000\times 24+40000\times 12)$

$=144:192:336$ $=3:4:7$.

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?

Answer:

Explanation:

Aman : Rakhi : Sagar $=(70000\times 36)$ $:(105000\times 30)$ $:(140000\times 24)$

$=12:15:16$.

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