**Important Facts and Tricks of Partnership:**

Partnership: It is calculated when two or
more persons run a business jointly, they are called partners and the deal is
known as partnership .

**The Ratio of Division of Gain/ Loss**

·
When Investment of all the partners is for
the same period, the gain or loss is distributed in the ratio of their
investment

Example: As Let A and B invests Rs X and
Rs Y for a year, then at the end

A’s share of profit: B’s share of
profit = X : Y

·
When investments are for a different period,
then equivalent capitals are calculated for a unit of time by taking (capital * a number of units of time). Now, gain or loss is divided in the ratio of these
capitals.

Example: Let A invest 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

Profit
= Investment * Time

PA/PB= (I A * T A) / (I B * TB)

**1.**

**The partners A, B, C invest Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. Out of a profit of Rs. 3500,**B's share is

**a)**

Rs .
1300

**b)**

Rs . 1700

**c)**

Rs . 500

**d)**

Rs . 1500

*Solution:*
Partner A invest = Rs. 26000

Partner B invests= Rs. 34000

Partner C invests = Rs. 10000

Take all
investment in ratio

=26000: 34000:10000

= 13: 17:5

Adding ratios and supposing P as net profit

35*P = 3500

P= Rs.100

B’share profit = 17 * P = 17 *100= 1700

B
option is correct

*----------------------------------------------------------------------------------*

**2.**

**Karim invests Rs. 30,000 for one year in a shop. How much his partner**Raunaq should invest
in order that the profit after one year may be in the ratio 2:3?

**a)**

Rs . 20000

**b)**

Rs . 400000

**c)**

Rs . 45000

**d)**

Rs . 18000

**Solution:**

Karim Invest I( K) = Rs. 30,000

Time of investment T( K)

_{ }= 12 months
Time of investment T( R) = 12 months

Using Profit = Investment * Time

P (K): P(R) = 2:3 = I (K) * T
(K): I(R) * T(R)

I (R) = (30, 000 * 12): (I( R) * 12)

I

_{R}= Rs. 45,000

*C option is correct*

*---------------------------------------------------------------------------------------------*

**3.**

Rs .
700 is divided among A, B and C so that A receives half as much as B and B half
as much as C. then C' share is

**a)**

Rs . 200

**b)**

Rs . 300

**c)**

Rs . 400

**d)**

Rs . 600

**Solution:**

A receives half as much as B

A = ½ B

B half as much as C

B= ½ C

A: B: C= 1:2:4 =700

7x= 700

X=100

Putting in ratios

C share = 4*X = 4 * 100= Rs. 400

*C option is correct*

*--------------------------------------------------------------------------------------------------*

**4.**

**Manoj got Rs. 6000 as his share out of a total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount Invested by Ramesh?**

**a)**

Rs . 30,000

**b)**

Rs . 40,000

**c)**

Rs . 10,000

**d)**

Rs . 5000

**Solution:**

Total Profit = Rs. 9000

Manoj share of Profit = Rs. 6000

Ramesh share of Profit = 9000- 6000= Rs. 3000

Ramesh Time of Investment T( R) = 12 months

Manoj Invested I (M) = Rs. 20,000

Time of investment
T (M) = 6 months

Ratio of Profits P (M): P (R) = 6000: 3000 = 2:1

Profit = Investment * Time

2: 1 = (20,000 *6): I (R) * 12

I( R) = Rs. 5000

*D is the right option*

*---------------------------------------------------------------------------------------------------*

**5.**

**A. B, and C are three partners in a business. If twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C, out a total profit of Rs 5940, the share of C is**

**a)**

Rs . 700

**b)**

Rs . 900

**c)**

Rs . 740

**d)**

Rs . 540

**Solution:**

If twice the investment of A is equal to thrice the
capital of B

2A=3B

The capital of B is four times the capital of C

B= 4C

A: B: C= 6:4:1

Total Profit = 5940

6:4:1 = 5940

11 X= 5940

X= 540

C share = 1* X = Rs.540

**D is the right option**

*---------------------------------------------------------------------------------------------------***7.**

**A and B invest in a business in the ratio 3:2.**if 5% of the total profit goes to
charity and A's share is Rs. 855, total profit is

**a)**

Rs . 1576

**b)**

Rs . 1537.50

**c)**

Rs . 1500

**d)**

Rs . 1425

**Solution:**

Investment of A and B = I (A): I (B) = 3:2

Total Profit - total charity = Left Profit

100- 5% = 95% of the left profit that to be shared between A
and B

Investment of A : B = 3: 2

Profit= Investment * Time

A’s share = 855/3 = 285

B’s share = 2 * 285 = 570

5% of A’s share = 5* 285 = 1425

95% of the total profit= 1425

Total profit = Rs. 1500

**C option is right**

**------------------------------------------------------------------------------------------------------**

**For more Partnership based Problems, visit Pratice Papers**