Partnership- Aptitude Questions and Answers

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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

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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

Hence ( A's share of profit) : (B's share of profit) = 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 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

A, B and C started a business with 45000. If their profits are 2400,4000 and 5600. Find the investment of A.?

A)
9000

B)
15000

C)
21000

D)
8000


Correct Answer :

9000


Explanation :

The ratio of the profit of three persons= 2400 : 4000 : 56000 = 3 : 5 : 7
A's investment =(3/15) * 45000 = 9000

Five people are planning to share equally the cost of a rental apartment.If one person withdraws from the agreement and others share equally the entire rental of the apartment, then the share of each of the remaining persons is increased by?

A)
4%

B)
5%

C)
6%

D)
7%


Correct Answer :

5%


Explanation :

5 persons share equally,so share of one person = 1/5
New share, 4 persons share equally,so share of one person = 1/4
Increase in the share= 1/5 - 1/4 = 1/20

Required % = (1/20)*100 = 5%

A, B and C started a business with their investment 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 their profits at the end of the year is?

A)

1 : 2 : 3


B)

3 : 4 : 15


C)

3 : 5 : 10


D)

5 : 6 : 10



Correct Answer :

5 : 6 : 10


Explanation :

Let, money invested by A, B and C are respectively x, 3x and 5x for the4 months.

After 4 months invested by A, B and C are respectively 2x, 3x/2 and 5x/2 for next 8 months.
Required ratio of profit, A:B:C = 4*x+8*(2x) : 4*3x+8*(3x/2) : 4*5x+8*(5x/2)
= 20x : 24x : 40x
= 5 : 6 : 10

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