# Partnerships - Questions and Solved Examples - Quantitative Aptitude Quiz

## Questions and Solved Examples on Partnerships

1. 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. 40,000
B. Rs. 45,000
C. Rs. 49,600
D. Rs. 48,500

A. Rs 40,000
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
3. 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. 24,000
B. Rs. 25,000
C. Rs. 26,200
D. Rs. 27,800

B. Rs 25,000
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 Aptitude Test & Logical Reasoning Test

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5. 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. 9,500
D. Rs. 10,000

D. Rs. 10,000
Profits ratio = 8000*6 : x*5 = 9600 : x
So, [x/(9600+x)] * 19,600 = 10,000
Solve, x = 10,000
7. 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. 54,000
B. Rs. 66,000
C. Rs. 72,000
D. Rs. 78,000

D. Rs. 78,000
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
9. 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. 7,000
B. Rs. 9,500
C. Rs. 10,800
D. Rs. 11,000

C. Rs. 10,800
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
11. 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. 4 months
B. 5 months
C. 6 months
D. 7 months

B. 5 months
1000*8 : 1200*6 : 1500*x
80 : 72 : 15x
So, 80/(80+72+15x) * 5675 = 2000
Solve, x = 5 months
13. P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q. At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months?
A. 7 months
B. 8 months
C. 9 months
D. 10 months

B. 8 months
500*12 : 600*x : 540*x+2
500*12 : 600*8 : 540*10
6000:4800:5400 = 60:48:54 = 10:6:9
Q = 2000*6/25 = 480
15. A, B, C start a business. A contributes 1/5 of total capital invested in business. B contributes as much as A and C together. Total profit at the end of the year was Rs.7200.What was B’s Share in the profit?
A. Rs.2,400
B. Rs.2,700
C. Rs.3,600
D. Rs.4,200

C. Rs.3,600
A = x/5
Remaining = 4x/5 = B+C
B = x/2 ,C = 4x/5 –x/2 =3x/10
x/5 : x/2 : 3x/10 = 2:5:3
P = 7200*5/10 = 3600
17. Prabu, Hari and Riya started a business in partnership by investing Rs.38500, Rs.49500 and X respectively. At the end of the year they earned a total profit of Rs.101500 and Riya’s share in the profit is 45500 find X?
A. Rs.40,000
B. Rs.50,200
C. Rs.71,500
D. Rs.75,000

C. Rs.71,500
We need to calculate the accumulation of these profits for one year which is 12 months.
Prabhu's investment = 12 × 38500 = 462000
Hari's investment = 12 × 49500 = 594000
Riya's investment = 12 × x = 12x
We can obtain the ratios as follows:
462000 : 594000 : 12x
Let the fraction of Riya's profit be y then we can get the fraction as follows:
y × 101500 = 45500
y = 45500/101500
y = 13/29
The ratio of Prabu's to Hari's contribution is:
462000/59400 = 7 : 9
7 : 9 : y = 7 : 9 : 13
=>13/7 × 38500 = 71500
Thus, Riya's contribution is Rs. 71,500/-
19. A Company makes a profit of Rs.7,60,000, 20% of which is paid as taxes. If the rest is divided among the partners X, Y and Z in the ratio 5:3:4 then the share of X is:
A. Rs.1,20,000
B. Rs.1,40,000
C. Rs.1,52,000
D. Rs.2,00,000