**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 * TA)/ (I B * TB)

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**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*

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**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. 20000b) Rs. 400000c) Rs. 45000d) Rs. 18000 **

**Solution: **

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

Time of investment T(K) = 12 months Raunaq Invest I(R) = Rs?

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*

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**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. 200b) Rs. 300c) Rs. 400d) 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*

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* *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. 30,000b) Rs. 40,000c) Rs. 10,000d) 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 *

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**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 isa) Rs. 700b) Rs. 900c) Rs. 740d) 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 **

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**6. 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 **

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