Quantitative Aptitude
Partnership Tricks and Questions
Shikha Adya
shikha
April 13, 2020

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)    

IR= 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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For more Partnership based Problems, visit Pratice Papers