Partnership Questions and Answers updated daily – Aptitude

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Partnership Questions

1. In a business, A in invests 1/4 th of the total capital for 1/4 th of the time. B invests 1/5 th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?




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Correct Ans:Rs 5720
Explanation:
Explanation:

Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
Contribution of C = 1 – (1/4 + 1/5) = 11/20

So A’s share : B’s share : C’s share
1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44

Share of C in profit = 44/(5+8+44) * 7410 = 5720
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2. A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?




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Correct Ans:Rs 90,000
Explanation:
Explanation:

Let amounts invested be 2x, 3x, 5x resp.
Then ratio of profits = A : B : C
2x*2 + (120/100)*2x*10 : 3x*2 + (110/100)*3x*10 : 5x*12
28x : 39x : 60x
C’s share = [60/(28+39+60)] * 190500 = 90,000
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3. A and B starts a business and invests Rs. 20,000 and Rs. 30,000 respectively. B is an active partner and he gets 25% of the profit separately. If their business yields them a total of Rs. 30,000 as profit, what is the share of B at the end of a year?




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Correct Ans:Rs 21,000
Explanation:
Explanation:

Ratio in which they get profits is = 20,000 : 30,000 = 2 : 3
B gets 25% of 30,000 = 7,500
Profit left which is to be divided in ratio 2 : 3 = 30,000 – 7,500 = 22,500
Now B gets = [3/(2+3)] * 22,500 = 13,500

So total share of B = 7500+13500 = 21,000
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4. X and Y invested the amount for a year in the ratio of 3:5. If the next year X invested 10% more money and Y took back 12% of his investment and X gets Rs. 3450 of the total profit. Find the total profit?




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Correct Ans:Rs. 8050
Explanation:
----> Current Ratio = 3 : 5

----> Ratio of Next year = 3 * 110% : 5 * 88% = 3 : 4

----> A's Profit = Rs. 3450

----> Total Profit = 3450 ÷ 3 * 7 = Rs. 8050

Hence, option D is correct.
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5. Azad invested Rs 55000 in a cosmetic shop for the whole year. After 4 months of Azad, Hind joined him and invested Rs 70000. Next year Azad invested Rs 10000 more and Hind withdrew Rs 10000 and at the end of two years profit earned by Azad is Rs 32375. Find the total profit if they distributed half of the total profit equally and rest in the capital ratio.




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Correct Ans:62900
Explanation:
----> Azad invested Rs 55000 for a year and Rs 65000 for the next year.

----> Hind invested Rs 70000 for 8 months and Rs 60000 for the next year.

----> Capital Ratio = 55000 * 12 + 65000 * 12 : 70000 * 8 + 60000 * 12

----> = 660000 + 780000 : 560000 + 720000

----> = 1440000 : 1280000 = 9 : 8

----> Let total profit = Rs x

----> Azad's profit = x * 50% * 50% + x * 50% * 9/17
----> 32375 = x/4 + 9x/34

----> 32375 = 35x/68

----> x = 62900

Hence, option D is correct.
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6. Mukul, Atul and Rahul started a business. Mukul invested 2/7th of the total investment and the total investment of Mukul and Atul is equals to the investment of Rahul. If they distributed profit in the capital ratio and Atul received Rs 1530, find the total profit.




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Correct Ans:Rs 7140
Explanation:
Let the total investment = Rs x

Mukul's investment = x * 2/7

Rest investment = x – x * 2 /7 = 5x/7

Let Atul's investment = Rs a, Rahul's investment = Rs b

Rahul's investment + Atul's investment = 5x/7

a + b = 5x/7

b = 5x/7 – a ... 1


According to the question,

2x/7 + a = b

5x /7 – a = 2x/7 + a (value of b is taken out from equation 1)

5x/7 – 2x /7 = a + a

3x /7 = 2a

a = 3x/14 = Atul's investment

Rahul's investment = x – 3x /14 – 2x/7
= 14x – 3x – 4x/14

= 7x/14 = x/2
Investment Ratio,

Mukul : Atul : Rahul = 2x/7 : 3x/14 : x/2

= 4 : 3 : 7

As Atul's Profit = Rs.1530

Total profit = 1530/3 * 14 = Rs 7140

Hence, option C is correct.
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7. Anu is working partner and Vidhya is sleeping partner in an organization. Anu puts 6000 and vidhya puts 5000. Anu receives 12.5% from profit for maintaining and running an organization. The rest is divided between according to their capital. What does vidhya get if the profit at the end of year is 880?




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Correct Ans:350
Explanation:
---> Investment ratio = ( 6:5)

---> Anu’s extra profit = (12.5/100) * 880 = 110

---> Now the profit remaining = 880-110 = 770

---> Profit ratio = investment ratio = (6:5)

---> Anu’a profit = ( 6/11) * 770 = 420

---> Total profit of anu = 420+110 = 530

---> Therefore vidhya’s profit = 880-530 = 350
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8. P,Q and R are partners. They all together invested Rs.14000 in business. At the end of year, P got Rs. 337.50 , Q got Rs.637.50 and R got 1125 and . what is the difference between the investment of R and P ?




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Correct Ans:5250
Explanation:
----> Investment ratio = Profit ratio

----> Profit ratio = 3375: 6375:11250 = 9:17:30

----> Investment difference R and P = 30 – 9 = 21

----> Difference = (21 /56) * 14000 = 5250
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9. Anu and Kamal started a business with a investment ratio of 5:8. After 7 month Arun joined with an investment of 12000. Profit obtained at the end of the year is 8480. What is value of X and What is sum of profit earned by Anu and Kamal?      




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Correct Ans:1500, 6240
Explanation:
---> Let the investment of Anu and Kamal be X
---> 5x*12+8x*12+12000 *7 = total investment
---> Total profit = 8480
---> 60x+96x+84000 = total investment
---> For this problem we have to go from choice
---> Let us take x = 1500
---> 60*1500 : 96*1500 : 84000 = 15:24:14
---> Profit earned by Anu and Kamal = (15+24) /(15+24+14) *8480
---> = (39 /53) * 8480 = 6240
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10. Vinesh, Aswanth and Mithul enter into a Partnership with investment in the ratio of (3/2) : (8/5) : (5/3). After six months, Vinesh increases his share by 40%. If the total profit at the end of the year be Rs. 136800, then what will be the share of Aswanth in the profit?




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Correct Ans:Rs. 43200
Explanation:
The investment ratio = (3/2): (8/5): (5/3)
L.C.M of denominators 2, 5 and 3 = 30
The investment ratio becomes (3 * 15)/30 : (8 * 6)/30 : (5 * 10)/30
= 45/30 : 48/30 : 50/30
= 45 : 48 : 50

Given, After six months, Vinesh increases his share by 40%.
Ratio of share of Vinesh, Aswanth and Mithul = {[45 * 6] + [45 * (140/100) * 6]} : [48 * 12] : [50 * 12]
= {270 + 378} : 576 : 600
= 648 : 576 : 600
= 27 : 24 : 25

Given, total profit = Rs. 136800
Then, share of Aswanth in the profit = [24/(27 + 24 + 25)] * 136800
= [24/76] * 136800
= 24 * 1800
= Rs. 43,200
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11. Neeraj and Rakesh started a business in partnership by investing Rs. 10,000 and Rs. 4000 respectively. Condition of partnership is that Rakesh got Rs. 100 per month for management of the business. After paying 5% interest on the capital, annual profit has distributed in the ratio of their investment. Find the share of their profit, if the annual profit is Rs. 4000.




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Correct Ans:Rs. 2000 each
Explanation:
Given that, Rakesh got Rs. 100 per month for management of the business
---> Profit share of Rakesh in 1 year = Rs. 100 * 12 months = Rs. 1200

Given, Neeraj and Rakesh pay 5% interest on the capital
---> Interest of Neeraj = (p * n * r)/100 = (10,000 * 1 * 5)/100 = Rs. 500
---> Interest of Rakesh = (4000 * 1 * 5)/100 = Rs. 200

Now, total profit share of Neeraj and Rakesh = (1200 + 500 + 200) = Rs. 1900
Given, Total annual profit = Rs. 4000
Thus, Remaining profit = 4000 - 1900 = Rs. 2100
--> which is distributed among Neeraj and Rakesh in the ratio of their investment.

Ratio of investment of Neeraj and Rakesh = (10,000 * 12) : (4000 * 12)
= 10 : 4
= 5 : 2

Thus, Share of Neeraj in remaining profit = [5/(5 + 2)] * 2100 = Rs. 1500
Share of Rakesh in remaining profit = [2/(5 + 2)] * 2100 = Rs. 600

Now, Total profit of Neeraj = Interest of Neeraj + Share of Neeraj in remaining profit
= 500 + 1500
= Rs. 2000

Total profit of Rakesh = Profit share of Rakesh in 1 year for managing business + Interest of Rakesh + Share of Rakesh in remaining profit
= 1200 + 200 + 600
= Rs. 2000

Thus, share of profit of Neeraj and Rakesh = Rs. 2000 each.
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12. P and Q started a business with Rs. 35000 and Rs. 20000 respectively. They agreed to share the profit in the ratio of their capital. R joins the partnership with the condition that P, Q and R will share profit equally and pays Rs. 220000 as premium for this to be shared between P and Q. This is to be divided between P and Q in the ratio of ____.




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Correct Ans:(1 : 10)
Explanation:
Ratio of total capital of P and Q = 35000 * 12 : 20000 * 12
= 4,20,000 : 2,40,000

Now, R gives Rs. 2,20,000 to P and Q to make their capital equal.
If P gets Rs. 20,000 from R and Q gets Rs. 2,00,000 from R, then both have the equal capital
New Ratio of total capital of P and Q = (4,20,000 + 20,000) : (2,40,000 + 2,00,000)
= 4,40,000 : 4,40,000

Therefore, Required ratio of divided amount between P and Q = 20,000 : 2,00,000
= 1 : 10
Hence, P and Q should divide the amount in the ratio of 1 : 10.
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13. A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?




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Correct Ans:Rs. 10000
Explanation:
A : B : C = 3 : 6*(3/4) : 5
= 6 : 9 : 10
Profit = 50,000
50% Reinvested
Hence 50% is distributed which is 50% of 50000 = 25000
From remaining
Share of C = 10/25 * 25000
= Rs. 10,000
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14. A, B, C and D purchased a cine-multiplex for Rs. 56 lakhs. The contribution of B, C and D together is 460% that of A, alone. The contribution of A, C and D together is 366.66% that of B"™s contribution and the contribution of C is 40% that of A, B and D together. The amount contributed by D is:




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Correct Ans:18 lakh
Explanation:
A + B + C + D = 56
B + C + D = 4.6A
⇒ A + B + C + D = 5.6 A (by adding A on both side)
56 lakh = 5.6 A
⇒ A = 10 lakh
Similarly, A + C + D = 366.66/100 = 3.66 = (11/3) B
⇒ A + B + C + D = (14/3) B (by adding B on both side)
56 lakh = (14/3) B
⇒ B = 12 lakh
Similarly, 40/100(A + B + D) = C
⇒ A + B + D = (5/2) C
⇒ A + B + C + D = (7/2) C (by adding C on both side)
56 lakh = (7/2) C
⇒ C = 16 lakh
Therefore, D = (A + B + C + D) – (A + B + C)
= 56 - (10 + 12 + 16) = 56 - 38
= 18 lakh
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15. Swati invested an amount of Rs.60000 to start a software business . After 8 months, vaishali joined her with an amount of Rs . 30000 . they earned profit RS . 24500 after one year what is vaishali profit ?




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Correct Ans:3500
Explanation:
Ratio of capital invested by each partner.
i.e swati and vaishali for one year in order to get same profit.
= 12*60000 : 4*30000
= 720000 : 120000
= 6 : 1
Share of vaishali out of Rs .24500
= 1/7 * 24500
= 3500
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16. Three persons enter into a partnership by investing in the ratio of 4:5:8. After one year A invest more 4300 and B withdraws 3200. Now, the ratio of investment changes to 5:4:7. Approximately how much A invested initially?




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Correct Ans:14755
Explanation:
Let find the values :
---> after one year (- 4x+4300 : 5x-3200 : 8x )
---> so, to find X - ((4x+4300)/(5x-3200)) = (5/4 )
---> so investment made by A = (33200/9) *4
----> = 14755.55

Hence the answer is : 14755.55
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17. Ram and shyam entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, Ram withdrew Rs. 5000 while shyam invested additional Rs. 5000. After another 3 months Ghanshyam joined the business with a capital of Rs. 21000. The share of Shyam exceeds that of Ghanshyam, out of a total profit of Rs. 26400 after one year, by how much amount ?     




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Correct Ans:Rs. 3600
Explanation:
Let find the values:
Ram: Shyam : Ghanshyam
----> = [(16000 * 3 + 11000 * 9) : (12000* 3 + 17000 * 9) : (21000 *6)]
----> = (48000 + 99000) : (36000 + 153000 ) : (126000)
----> = (147000 : 189000 : 126000)
----> = (7 : 9 : 6 )
----> Share of shyam
----> = Rs (9/22)* 26400
----> Share of Ghanshyam
----> = Rs (6/22)* 26400
----> Therefore the share of Shyam exceeds that of Ghanshyam by
----> = Rs (9/22)* 26400 - Rs (6/22)* 26400 = Rs 3600

Hence the answer is : Rs 3600
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18. A and B invested in a business in which A invest 250 rupee more than B. B invested for 6 months while A invested for 4 months. If A get 200 more than B out of a total profit of 1000. Then the total amount invested in the business.




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Correct Ans:650
Explanation:
Let find values :

---> Let B invest 'x' rupees
---> so A will invest (x+250)
---> Total investment made by A = (x+250)*4
---> and by B = 6x

---> According to the problem
---> = ((4(x+250) - 6x )/(1000+10x)) *1000 = 200
---> X = 200.

---> Total investment = (200+250+200) = 650

Hence the answer is : 650
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19. P, Q and R signed for a project of Rs. 23600. P invested Rs. 5000 more than Q and Q invested Rs. 3000 more than R. If the profit is Rs. 35400, find the share of Q.




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Correct Ans:Rs. 10800
Explanation:
P, Q and R signed for a project of Rs. 23600.
P invested Rs. 5000 more than Q and Q invested Rs. 3000 more than R.
Let the investment of R = Rs. x
So, investment of Q = Rs. (x + 3000)
And, investment of P = Rs. (x + 3000 + 5000) = Rs. (x + 8000)
Now, we can write,
x + (x + 3000) + (x + 8000) = 23600
3x + 11000 = 23600
3x = 12600
x = 4200
So, the ratio of their shares;
P : Q : R = (4200 + 8000) : (4200 + 3000) : 4200
= 12200 : 7200 : 4200
= 61 : 36 : 21
The profit is Rs. 35400.
∴ The share of Q = Rs. 35400 × (36/118) = Rs. 10800.
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20. A, B and C are partners. A got the (2/3)rd of the total profit. B and C got the rest amount in equal ratio. When the rate of profit is increased from 5 to 7%, there is a increase of Rs. 400 in profit of A. What will be the profit of B?




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Correct Ans:Rs. 5000
Explanation:
Let the total profit be 'Rs. x'.
A's profit = 2x/3
Remaining profit = x - 2x/3 = (3x - 2x)/3 = x/3
B's profit = C's profit = x/6

According to the question increase in 2% of the rate of profit increase of A's profit = Rs. 400
So, 2% of the total profit of A = Rs. 400
Total profit of A= 400*(100/2) = Rs. 20000

A's profit = 2x/3
2x/3 = 20000
x = Rs. 30000
so, B's profit = x/6
= 30000/6
= Rs. 5000.
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