Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Partnership,** which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

**2 friends – A and B invested in a business by investing Rs 4000 and Rs 6000 respectively. After 8 months, A added Rs 400 more and B withdrew Rs 400. What is the profit of B from a total profit of Rs 14,250 after the end of a year?**

A) Rs 8,090

B) Rs 10,500

C) Rs 9,500

D) Rs 8,360

E) Rs 7,850**D) Rs 8,360**

Explanation:

A : B

4000*8 + 4400*4 : 6000*8 + 5600*4

31 : 44

So B gets = (44/75) * 14,250**2 friends – A and B invested in a business by investing Rs 10,000 and Rs 12,000 respectively. After 8 months, both took out Rs 2,000. What is the profit of B from a total profit of Rs 24,800 after the end of a year?**

A) Rs 13,600

B) Rs 12,600

C) Rs 16,200

D) Rs 13,800

E) Rs 20,700**A) Rs 13,600**

Explanation:

A : B

10000*8 + 8000*4 : 12000*8 + 10000*4

14 : 17

So B gets = (17/31) * 24,800**3 partners started a business. A, B and C invested Rs 5000, Rs 6000 and Rs 7000 respectively. After 4 months all invested the same amount as before for another 4 months. And then each of them invested Rs 1000 more. If after a year a total profit of Rs 46,500 is made, what is the profit of C?**

A) Rs 20,000

B) Rs 16,700

C) Rs 17,050

D) Rs 18,000

E) Rs 18,500**D) Rs 18,000**

Explanation:

5000*4 +10,000*4 + 11,000*4 : 6000*4 +12,000*4 + 13,000*4 : 7000*4 +14,000*4 + 15,000*4

26 : 31 : 36

So C gets = (36/93) * 46,500**The investment of A is twice as that of B and thrice as that of C. B invested for twice the months than A and thrice the months than C. Who will earn the highest profit?**

A) A

B) B

C) C

D) Cannot be determined

E) None of these**E) None of these**

Explanation:

If A invested Rs x, then B Rs (x/2) and C invests Rs (x/3).

Let B invested for y months, then A for (y/2)months, and C for (y/3) months

So ratio of profit shares-

A : B : C

x*(y/2) : (x/2)*(y) : (x/3)*(y/3)

1/2 : 1/2 : 1/9 = 9 : 9 : 2

Both A and B gets equal and highest profits.**Out of the total investment, A invested 1/4th , B invested 1/3rd of the remaining and C the remaining. B earned Rs 10,000 after a year. Find the yearly profit of all.**

A) Rs 45,000

B) Rs 40,000

C) Rs 58,500

D) Rs 49,600

E) Rs 65,900**B) Rs 40,000**

Explanation:

Let total investment = Rs x

Then A’s = (1/4)*x

Remaining = 3/4th of x

So B’s investment = (1/3)*(3x/4) = x/4

And C’s = x – (x/4 + x/4) = x/2

so ratio of profits = x/4 : x/4 : x/2 = 1 : 1 : 2

so 1/4 * x = 10,000

x = 40,000**A and B invested Rs 20,000 and Rs 25,000 in a business for 1 year and 8 months respectively. A being a working partner earned 25/3% profit out of a total profit of Rs 60,000 and after this the profit was divided in the ratio of their investments. What is the share of B in the annual profit?**

A) Rs 30,000

B) Rs 26,000

C) Rs 25,600

D) Rs 27,800

E) Rs 25,000**E) Rs 25,000**

Explanation:

A’s share : B’s share

20,000*12 : 25,000*8

6 : 5

A got its salary as = [(25/3)/100] * 60,000 = 5000

Remaining profit = 60,000 – 5000 = 55,000

So B gets = 5/11 * 55000**Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?**

A) Rs 6,000

B) Rs 8,500

C) Rs 8,500

D) Rs 10,000

E) None of these**D) Rs 10,000**

Explanation:

Profits ratio = 8000*6 : x*5 = 9600 : x

So

[x/(9600+x)] * 19,600 = 10,000

Solve, x = 10,000**A, B and C received their profit shares in the raio 4 : 6 : 9 respectively. A and B received a total of Rs 60,000. What is the amount that C and A got together?**

A) Rs 66,000

B) Rs 90,000

C) Rs 54,000

D) Rs 78,000

E) Rs 59,140**D) Rs 78,000**

Explanation:

Their shares are 4x, 6x, 9x resp.

4x + 6x = 60,000

x = 6,000

So C got 9*6000 = 54,000 and A got 4*6000 = 24000

So total = 78,000**A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 500 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of A in the total profits?**

A) Rs 9,500

B) Rs 11,500

C) Rs 10,800

D) Rs 10,000

E) Rs 12,800**C) Rs 10,800**

Explanation:

After a year C gets salary = 500*6 = Rs 3,000 [Since C was for 6 months in the business with each month earning 500]

So 10% of total profit after a year = 3,000

Total profit = Rs 30,000

A invested for 12 months, B for 12, and C for 6 months

Ratio of profit shares =

4*12 : 3*12 : 6*6 = 4 : 3 : 3

Profit left after deducting salary of C = 30,000 – 3,000 = 27,000

So share of A = [4/(4+3+3)] * 27,000**A, B and C invested Rs 1000 for 8 months, Rs 1200 for 6 months and Rs 1500 for some months. Out of a total profit of Rs 5,675 as profit, A received Rs 2000. For how much months did C invested?**

A) 7

B) 4

C) 5

D) 6

E) None of these**C) 5**

Explanation:

1000*8 : 1200*6 : 1500*x

80 : 72 : 15x

So 80/(80+72+15x) * 5675 = 2000

Solve, x = 5

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