Partnership- Aptitude Questions and Answers

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Raju started a business by investing Rs.36000. After 4 months Kalu joined him with some investment. At the end of the year, the total profit was divided between them in the ratio of 9:7. Find the capital that was invested by Kalu ?

A)
42000

B)
36000

C)
56000

D)
58000


Correct Answer :

42000


Explanation :

Let Kalu invested X Amount for 8 months
then Ratio of Raju and Kalu Profit <=>
36000*12 : X*8 = 9 : 7
36000*12*7 / 9*8 = X
Hence Kalu investment X=>42000

A, B and C are partners in a business. A puts in Rs. 350, B Rs. 450 and C Rs. 550. What is the
share of C in a profit of Rs. 405 at the end of the year?

A)
Rs. 138

B)
Rs. 285

C)
Rs. 340

D)
Rs. 165


Correct Answer :

Rs. 165


Explanation :

A, B and C's investment 350 , 450 and 550
Profit Ratio A : B : C =350 : 450 : 550 => 7 : 9 : 11
Total Profit = 27 Parts =405

C's Profit = 405* 11 / 27 => 165

Three partners invest Rs. 2000, Rs. 2500 and Rs. 1000 in a business. How much will the last partner get out of a profit of Rs. 880 ?

A)
Rs.320

B)
Rs.350

C)
Rs.400

D)
Rs. 160


Correct Answer :

Rs. 160


Explanation :

Let the Partners are A, B and C.
Then, Profit Ratio
A : B : C =2000 : 2500 : 1000 => 4 : 5 : 2
Total Profit = 11 Parts =880

C's / last partner share = 880* 2 / 11
=160

Rs. 1900 is divide between A, B and C so that A's share is 1*(1/2) times B's and B's is 1*(1/2) times C’s. What C’s share?

A)
Rs.800

B)
Rs.420

C)
Rs.400

D)
Rs.900


Correct Answer :

Rs.400


Explanation :

Let C = x,
Then B = (3/2)* x and A = (3/2)*(3/2)* x = (9/4) * x
A : B : C = (9/4) * x : (3/2)* x : x = 9 : 6 : 4
So, C's capital = Rs. (1900×4/19)
= Rs. 400

A and B can do a work in 45 and 40 days respectively. They began the work together, but A left after some time and B finishes the remaining work in 23 days. After how many days did A leave?

A)
8 days

B)
7 days

C)
6 days

D)
9 days


Correct Answer :

9 days


Explanation :

(A+B)’s 1 day’s work = 1/45+1/40=17/360.

Work done by B in 23 days = (23 x 1)/40=23/40.
Remaining work = 1−23/40=17/40.

Now,17/360 work was done by (A+B) in 1 day.
Now,a work was done by (A+B) in 360/17 days.
Remaining work, 17/40 work was done by (A+B) in (360/17)×(17/40)=9 days.

Hence, A left after 9 days.

Three partners A, B and 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


Correct Answer :

Rs. 1700


Explanation :

If the partners A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:( A's share of profit) : (B's share of profit) = x : y


Ratio of shares of A, B, C = 26000 : 34000 : 10000 = 13 : 17 : 5
Hence, B's share = Rs. 3500 x (17/35) = Rs. 1700

A invests Rs. 30000 for one year in a shop. How much his partner B should invest in order that the profit after one year must be in the ratio 2 : 3 ?

A)
Rs. 20000

B)
Rs. 40000

C)
Rs. 45000

D)
Rs. 18000


Correct Answer :

Rs. 45000


Explanation :

If the partners A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:( A's share of profit) : (B's share of profit) = x : y

30000/X = 2/3
⇒ 2X = 90000
X = 45000

A and B start a business by investing 8000 and 72000, respectively. Find the ratio of their profits at the end of year.

A)
2 : 9

B)
5 : 9

C)
7 : 9

D)
1 : 9


Correct Answer :

1 : 9


Explanation :

if the partners A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:( A's share of profit) : (B's share of profit) = x : y

= 8000 : 72000 = 1 : 9

A starts a business with 300000 and B join him after 3 months with 1200000. Find the ratio of their profits at the end of the year .

A)
2 : 5

B)
3 : 5

C)
5 : 1

D)
1 : 3


Correct Answer :

1 : 3


Explanation :

if the partners A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:( A's share of profit) : (B's share of profit) = x : y

A's share : B's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3

A, B and C together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be 21000, what will be C's share in this profit ?

A)
12500

B)
10500

C)
15000

D)
10000


Correct Answer :

10500


Explanation :

if the partners A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:( A's share of profit) : (B's share of profit) = x : y

Ratio of profits of A, B and C = 3 : 4 : 7
C's share = [7/(3 + 4 + 7)] x 21000
= 7 x 1500 = 10500

A, B and C start a business with 2000. A's share is half the sum of the shares of B and C. The share
of B is 2/3 of the sum of the shares of A and C. Then, the share of C is?

A)
3200

B)
4800

C)
4000

D)
3000


Correct Answer :

3200


Explanation :

A + B + C = 12000 ...(i)
A =1 /2 (B + C)
B + C = 2A

By substituting the value of B + C = 2A in Eq. (i), then
3A = 12000
A = 4000

Also, B =2/3 (A +C)
A + C =3B/2
By substituting the value of A + C =3B/2 in Eq. (i), then
3B/2 + B = 12000
5B/2= 12000
B =4800

Share of C = 12000 -(4000 +4800) => 12000- 8800 => 3200

A started a business with an investment of 84000. After x months B joins A with a capital of 42000. If the ratio of profit at the end of the year is 3 : 1, then x is?

A)
6 months

B)
2 months

C)
4 months

D)
3 months


Correct Answer :

4 months


Explanation :

Ratio of profits of A and B = (84000 * 12) : 42000 * (12- x)
(84000 * 12) : 42000 * (12- x) =3 : 1
42000 * (12- x) *3 = 84000* 12
(12 - x) = (84000* 12) / (42000* 3)
x = 4
Hence, B joined after 4 months

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