Quant Quiz - Topic: Partnership

Q1)-Three partners A, B , C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital . Out of a total profit of Rs. 16,500 at the end of the year, B's share is

Rs 4000

RS 6000

Rs 7500

Rs 6600

Ans.- B
Let C = x. Then B =4x and 2A = 3 X 4x = 12x or A= 6x
A : B : C =6x : 4x :x = 6 : 4 : 1
So B's capital is ( 16500 X 4/11) = Rs 6000

Q2)-If 4 (A's Capital) = 6(B's capital) = 10 (C's capital) , then out of a profit of Rs 4650, C will receive :

Rs 465

Rs 900

Rs 1550

Rs 2250

Ans.- B
LEt 4A = 6B = 10C = k
Then, A : B : C = k/4 : k/6 : k/10 = 15 : 10 : 6
Hence , C's share = rs ( 4650 X 6/31) = Rs 900

Q3)-A , B and C enter into partnership. A invests some money at the beginning , B invests double the amount after 6 months and C invests thrice the amount after 8 months If the annual profit be Rs 27000, C's share is

Rs 8625

Rs 9000

Rs 10800

Rs 11250

Ans.- B
Let A's investment be Rs x.
Then, Ratio of capitals = (x X 12) : (2x X 6) : (3x X 4)= 1 : 1 : 1
C's Share = Rs ( 27000 X 1/3) =Rs 9000

Q4)-A, B , C hired a car for Rs 520 and used it for 7 , 8 and 11 hours respectively. Hire charges paid by B were

Rs 140

Rs 160

Rs 180

Rs 220

Ans.- B
A : B : C = 7 : 8 : 11
Hire charges paid by B = Rs ( 520 X 8/26) =RS 160

Q5)-A , B and C rent a pasture. A puts 10 oxen for 7 months , B puts 12 oxen for 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 pay as his share of rent ?

Rs 45

Rs 50

Rs 55

Rs 60

Ans.- A
A : B : C = 10 x 7 : 12 x 5 : 15 x 3= 14 : 12 :9
C's rent= Rs ( 175 x 9/35) =rs 45

Q6)-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 157300 was their profit, how much did B receive ?

Rs 24200

Rs 36300

Rs 48400

Rs 72600

Ans.- C
A : B = 3 : 2
B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3
So , B : A : C = 4 : 6 : 3
B's share = Rs ( 157300 x 4/13 ) = Rs 48400

Q7)-A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A , B and C ?

3 : 5 : 2

3 : 5 :5

6 : 10 : 5

Data inadequate

Ans.- C
Let the initial investments of A and B be 3x and 5x
A : B : C= (3x X 12) : (5x X 12): (5x X 6) = 6 : 10 : 5

Q8)-A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4 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 ?

Rs 129

Rs 144

Rs 156

Rs 168

Ans.- B
Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
Let their initial investments be 6x , 2x and 3x respectively.
A : B : C = ( 6x X 2 + 3x X 10 ) : (4x X 12) : ( 3x X 12) = 42 : 48 : 36 = 7 : 8 : 6
B's share = Rs ( 378 x 8/21) =Rs 144

Q9)-A , B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months , A increases his share by 50 % . If the total profit at the end of one year be Rs 21600. then B's share in the profit is

Rs 2100

Rs 2400

Rs 3600

Rs 4000

Ans.- D
Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let the initial investments be 105x , 40x and 36x
A : B : C= ( 105x X 4 + 150/100 X 105x X 8) : (40x X 12) : (36x X 12)
=35 : 10 : 9
Hence, B's share = Rs (21600 X 10/54) =Rs 4000

Q10)-A, B , C started a business with their investments in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments . The ratio of theirs profits at the end of the year is

4 : 3 : 5

5 : 6 : 10

6 : 5 : 10

10 : 5 : 6

Ans.- B
Let their initial investments be x , 3x and 5x respectively. Then, A: B : C= ( x X 4 + 2x X 8) : (3x X 4 + 3x/2 X 8) : (5x X 4 + 5x/2 X 8)
5 : 6 :10