Sample Material SSC CGL TIER-2 Online Coaching

Numerical Aptitude (Chapter: Partnership)

Partnership

When two or more than two persons run a business jointly, they are called partners in the business and the deal between them is known as partnership.

Partnership is of two types

1. Simple Partnership
2. Compound Partnership

1. Simple Partnership: When investments of all the partners are for the same period of time, the profit or loss is distributed among the partners in the ratio of their original investments.
Suppose A and B invest Rs p and Rs q respectively for a year in a business, then at the end of the year. Share of A’s profit (loss) : Share of B’s profit (loss) = p : q.

2. Compound Partnership: When investments of all the partners are for different period of time, then equivalent capitals are calculated for a unit of time and the profit or loss is divided in the ratio of the product of time and investment.
Suppose A and B invest Rs p and Rs q for x months and y months respectively, then Share of A’s profit (loss): Share of B’s profit (loss) = px : qy.

Partners are of two types

(i) Working Partner, and
(ii) Sleeping Partner

(i) Working Partner: A partner who manages the business is called a working partner.
(ii) Sleeping Partner: A partner who only invests the money is called a sleeping partner.

Example 1: A, B and C start a business each investing Rs 16000. After 3 months A withdrew Rs 2000, B withdrew Rs 4000 and C invests Rs 8000 more. At the end of year a total profit of Rs 41580 made. Find the share of A, B and C.

Solution. Ratio of capitals of A, B and C
= (16000 × 3 + 14000 × 9) : (16000 × 3 + 12000 × 9) : (16000 × 3 + 24000 × 9)
= 174000 : 156000 : 264000 = 29 : 26 : 44
A’s share = Rs {(29/99) x 41580} = Rs 12180
B’s share = Rs {(26/99) x 41580}= Rs 10920
C’s share = Rs {(44/99) x 41580} = Rs 18480

Example 2: A, B and C enter into a partnership with a total of Rs 8200. A’s capital is Rs 1000 more than B’s and Rs 2000 less than C’s. What is B’s share of the year’s profit of Rs 2,460?

Solution. Given, A = B + 1000 = C – 2000
C = B + 3000
A + B + C = (B + 1000) + (B) + (B + 3000)
8200 = 3B + 4000 Þ 3B = 8200 – 4000 Þ B = Rs 1400
Share of profit of B = Rs (1400 / 8200) x 2460 = Rs 420

:: Home Assignment for Practice ::

1. A, B and C started a business by investing  Rs 28000, Rs 35000 and Rs 14000 respectively. At the end of a year they got a total profit of  Rs 5225. Find A’s share.

(a) Rs 1740
(b) Rs 1850
(c) Rs 1900
(d) Rs 1650

2. A, B and C started a business by investing  Rs 45000, Rs 55000 and Rs 60000 respectively. At the end of a year they got a total profit of  Rs 11200. Find how much B gets more than A in the profit.

3. A and B started a business with investments of Rs 42000 and Rs 63000 respectively. After 4 months B withdraws from the business. At the end of a year they got Rs 9600 as total profit. Find the share of B.

(a) Rs 5600
(b) Rs 2800
(c) Rs 3200
(d) Rs 6400

4. Ajay and Abhay started a business with investments of Rs 13000 and Rs 39000 respectively. After 5 months Arun joins with a capital of Rs 52000. At the end of a year they got a profit of Rs 14250. Find the share of C.

(a) Rs 3650
(b) Rs 5250
(c) Rs 6750
(d) Rs 2250

5. A and B entered into a partnership with investments of Rs 15000 and Rs 40000 respectively. After 3 months A left from the business, at the same time C joins with  Rs 30000. At the end of 9 months they got Rs 7800 as profit. Find the share of B.

(a) Rs 4800
(b) Rs 600
(c) Rs 2400
(d) Rs 1200

This is Only Sample Material for Full Material Join SSC CGL (Tier - 2) Online Coaching

Buy SSC CGL (Tier -2) Study Kit in Hard Copy