PARTNERSHIP

A,B,C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A,B,C in an annual profit of Rs. 40,500 are:

A : B : C = 35000 : 45000 : 55000 =7 : 9 : 11

7 9 11=27

A’s  share = Rs.(40500*7/27)=Rs. 10500

B’s share = Rs.( 40500*9/27)=Rs. 13500

C’s share = Rs.(40500*11/27)=Rs. 16500

Arun, Kamal and Vinay invested Rs. 8000, Rs 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

Arun : Kamal : Vinay = (8000*6) : (4000*8) : (8000*8)

= 48 : 32 : 64

= 3 : 2 : 4

Kamal’s share = Rs. (4005*2/9)

=Rs. 890

A,B,C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profits of Rs. 35,000 A receives:

Let C= x. Then, B = x 5000 and A=x 5000 4000=x 9000

so x x 5000 x 9000= 50000

3x =36000

x=12000

A : B :C = 21000 : 17000 : 12000

21 : 17 : 12

A’s share = Rs (35000*21/50)

Rs. 14700

A,B,C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen fr 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C may as his share of rent?

A: B : C =10*7 : 12*5 : 15*3

=70 : 60 : 45

=14 : 12 : 9

C’s rent = Rs. (175*9/35)

Rs.45

In a business, A and C invested amounts in the ratio 2: 1, whereas the ratio between amounts invested by A and B was 3 : 2 if Rs. 1,57,300 was their profit , how much amount did B receive ?

A : B = 3 : 2  B : A = 2 : 3 =4 : 6

A : C = 2 : 1 =6 : 3

B : A :C =4: 6 : 3

A: B: C= 6 : 4 : 3

B’s share = Rs ( 157300* 4/13)

Rs 48400

A, B,C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : /4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3

Let their initial investments  be 6x, 2x  and 3x

A : B : C = (6x *2 3x* 10 ): (4x * 12 ) : (3x*12)

= 42 : 48 : 36

= 7 :8:6

B’s share =Rs.(378*8/21)

Rs. 144

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join if the profits at the end of the year are divided in the ratio of 3:1?

B joined for x months

then 85000*12/42500*x=3/1

x=85000*12/42500*3=8

B joined for 8 months

A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2: 3 What is B’s contribution in the capital?

B’s capital be Rs x

12-5=7

Then 3500*12/7x=2/3

14x=126000

x=9000

Three partners shared the profit in a business in the ratio 5: 7: 8 They had partnered for 14 months 8 months and 7 months respectively. What was the ratio of their investment?

14x : 8y : 7z= 5 : 7 : 8

14x/8y=5/7

70x=40y

y = 7/4x

14x/7z= 5/8

112x= 35z

z=112/35x

16/5x

x: y : z = x:7/4x : 16/5x

= 20 : 35 : 64

A and B are partners in a s business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B’s money was used?

B’s share = Rs.2z/3

A’s share = Rs. (z-2z/3)

Rs. z/3

A: B =z/3 : 2z/3 = 1:2

the lotal capital be Rs x and suppose B’s money was used for x months.

(1/4x*15)/ (3/4x*y)=1/2

y = (15*2/3)

=10

B’s money was used for 10 months

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 the total profit is :

Let the total profit be Rs. 100

After paying to charity A’s share = Rs. (95*3/5)

=56

If A ‘s share is Rs 57 total profit = Rs. 100

If A’s share is Rs 855 total profit= (100/57*855)

=1500

N and M started a business investing Rs. 85000 and Rs. 15000 respectively. In what ratio the profit earned after 2 years be divided between N and M respectively ?

N : M = 85000 : 15000 = 85 : 15

= 17 : 3

Four milkmen rented a pasture. A grazed 24 cows for 3 months B 10 cows for 5 months C 35 cows for 4 months and D 21 cows for 3 months. If A;s share of rent is Rs . 720 Find the total rent of the fiels

Ratio  shares A : B : C : D = (24*3 ) : (10*5) : ( 35 * 4 ) 🙁 21 * 3 )

= 72 : 50 : 140 : 63

total rent be Rs x then A’s share = Rs. 72x/32572x/325=720

x=720*325/72

3250

A and B together invested Rs. 12000 in a business. At the end of the year, out of the total profit of Rs. 1800/ A’s share was Rs. 750 What was the investment of A?

A’s investment  / B’s investment= profit share of A/ profit share of B

750 /1800-750= 750 / 1050

= 5/7

Investment of A = 5/5 7*12000

Rs. 5000

P is working and Q is sleeping partner. P puts in Rs. 3400 and Q puts Rs. 6500. P receives 20 % of the profits for managing. The rest is distributed in proportion to their capitals. Out of a total profit of Rs. 990, how much did P get?

Total  profit = Rs. 990

ratio of capital = 34000: 65000

34 : 65

profit amount got by P = 20 % of total profit P’s share in balance 80 % profit for his capital

= [ 0.2 0.8*(34/34 65)]*990

470

Out of a total amount of Rs. 4898, B receives 20 % more than A and 25% more than C What is B’s share?

Hint : A B C=100/120

B B 100/125

B=4898

b= Rs. 1860

Rs 750 is distributed among A,B and C such that A’s share: B’s share =2:3 and B’s share : c’s share= 6 : 5 the share of A is

A:B:C

A=2*6/3*6=12/18

B= 6*2/5*2=12/10

A=10, B= 18, C=12

18x 12x 10x=30x

30x=750

x=750/30

x= 25

x=25*10

x= 250

In partnership A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C the rest of the capital for whole time. Find A’s share of the total profit of the 2300

1/6*(1/6*12):1/3*(1/2*12):1/2*12

1/3: 4/3:6

1:4:18

share A= 1/1 4 18*2300

Rs. 100

Three students A,B,C hired a computer for a month A runs 27 floppy discs for 19 days B run 21 for 17 days and C runs 24 for 23 days if at the end of the month, the rent amounts to Rs 23700 how much ought to be paid by each?

A=8550

B= 5950

C= 9200

P,Q and R invest in the ratio 2 : 7 : 11 The percentage of return on their investment are in the ratio 6 : 7 : 5 Find the total earnings if R earn Rs 2150 more than P

Right Answer is 5800