Partnership Questions and Shortcut Tricks

Partnership Solved Examples - Page 2
Partnership Important Questions - Page 3

When two or more than two persons run a business jointly. They are called partners and the deal is known as partnership. Partnership is of two kinds : (i) Simple and (ii) Compound.

Simple Partnership : If the capitals of the partners are invested for the same period the partnership is called simple.

Rule. When investment of all the partners are for the same time, the profit or loss is divided among them in the ratio of their investments.

Compound Partnership : If the capitals of the partners are invested for different lengths of time, the partnership is called compound.
Rule. When investment are for different times then equivalent capitals are calculated for a unit of time by multiplying the capital with the number of units of time. The profit or loss is now divided in the ratio of these capitals.

Note I. If A and B invested their capitals for different length of time, then Images
Note II. A partner who manages the business is called a working partner and the one who simply invests the money is called a sleeping partner.
Note III. In every examination the questions are generally set on compound partnership. But such questions are first converted into simple partnership and then solved.

Partnership Important Examples

Example 1. A and B started a business in partnership with Rs.50,000 and Rs.60,000 respectively. A is also a working partner and gets 10% of the total profit for looking after the business. How much is the share or B less than the share of A in the profit of Rs.55,000 ?

Solution : Ratio of two Capital of A and B
= 50,000 : 60,000
= 5 : 6
$\because$ A gets 10% of the total profit for looking after the business.
$\therefore$ Income received by A for looking after the business.
= 10% Rs.55, 000
= Rs. 5500
Rest of the profit
= 55,000 – 5500
= Rs. 49500

Now, from this amounts of profit A and B will get their shares of profit in the ratio of their invested capitals.
Profit received by
A = $49,500\times \frac{5}{11}$
= Rs.22,500
$\therefore$ Total share of
A = 22500 + 5500
= Rs.28,000
Again share of
B = $49,500\times \frac{6}{11}$
= 27000
$\therefore$ Hence share of B is Rs 1,000 = [28,000-27,000] less than the share of A.

Short Method :
$\because$ Since A gets 10% of the total profit for looking after the business therefore, B will get the share of profit from 90% of the total point.
$\therefore$ Share of profit B gets
= $55000\times \frac{6}{11}\times \frac{90}{100}$
= Rs.27,000
$\therefore$ Share of income A gets
= 55,000 – 27,000
= Rs.28,000
$\therefore$ Required difference
= Rs. (28,000 – 27,000)
= 1000.

Example 2. The partners A, B, C start a business. Twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C. Find the share of each out of a profit of Rs. 2,97, 000.

Solution : Let C’s capital = Rs. x then B’s capital = Rs. 4x
Now, 2 (A,s capital)= 3 (B’s capital)= $3\times 4x$
$\therefore$ A’s capital= $\left ( \frac{3\times 4x}{2} \right )$ = 6x
So, ratio of share of A, B and C = 6x : 4x : x = 6 : 4 : 1.
$\therefore$ A’s share =Rs. $\left ( 297000\times \frac{6}{11} \right )$
= Rs.1,62,000
B’s share of =Rs. $\left ( 297000\times \frac{4}{11} \right )$
= Rs.108000
and C’s share =Rs. $\left ( 297000\times \frac{1}{11} \right )$
= Rs.27000.

Example 3: A began a business with Rs. 2100 and is joined afterwards by B with Rs. 3600. After how many months did B join, if the profits at the end of the year are divided equally ?

Solution : Suppose B joines after x months. Then B’s money remained invested for (12-x) months.
$\because 2100\times 12$ = $3600\times (12-x)$
$\Rightarrow$ 3600 x = 43200-25200
$\therefore$ x = 18000/3600 = 5
So, B, joined after 5 months.

Example 4: Dilip and Manohar started a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the share of each out of profit of Rs. 24,000.

Solution : Ratio of share of Dilip and manohar
= 100000 : 150000 = 2 : 3
$\therefore$ Dilip’s share
= Rs. $\left ( 24000\times \frac{2}{5} \right )$
= Rs.9600
Manohar’s share
= Rs. $\left ( 24000\times \frac{3}{5} \right )$
= Rs.14400

Example 5. Sanjay and Raju started a business and invested Rs.20,000 and Rs.25,000 respectively. After 4 months, Raju left Naresh jointed by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Naresh ?

Solution : Ratio of share of Sanjay, Raju and Naresh
= $20,000\times 12 : 25,000\times 4: 15000\times 8$
= 12 : 5 : 6:
$\therefore$ share of Naresh
= Rs. $\left ( 4600\times \frac{6}{23} \right )$ = Rs.1200

Partnership Questions from Previous Year Exam

Partnership QUESTIONS..

Question 1 of 40

1. Question
1 points
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs, 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000. A receives:
- Rs. 8400
- Rs. 11,900
- Rs. 13,600
- Rs. 14,700
Correct

Incorrect

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

3x = 36000

x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs. $\left ( 35000\times \frac{21}{50} \right )=14,700$
Question 2 of 40

2. Question
1 points
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital
- Rs 9000
- Rs 7000
- Rs 5000
- Rs 4000
Correct

Incorrect

Let B's capital be Rs. x.

$\left ( \frac{37000\times 12}{7x} =\frac{2}{3}\right )$

14x = 126000

x = 9000.
Question 3 of 40

3. Question
1 points
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
- 5 : 7 : 8
- 28 : 49 : 64
- 38 : 28 : 21
- None of these
Correct

Incorrect

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

$\frac{4x}{8y}=\frac{5}{7}\Leftrightarrow 98x=40y\Leftrightarrow y=\frac{49}{20}x$

$\frac{14x}{7z}=\frac{5}{8}\Leftrightarrow 112x=35z\Leftrightarrow z=\frac{112}{35}x=\frac{16}{5}x$

x : y : z =

$x:\frac{49}{20}x:\frac{16}{5}x=20 : 49: 64$
Question 4 of 40

4. Question
1 points
Jayant opened a shop investing Rs. 30000. Madhu joined him 2 months later, investing Rs. 45000. They earned a profit of Rs. 54000 after completion of one year. What will be Madhus share of profit ?
- Rs. 27000
- Rs. 30000
- Rs. 24000
- Rs. 36000
Correct

Incorrect

Jayant : Madhu = 30000×12 : 45000×10 = 4 : 5.
Madhus share = Rs. 54000×(5/9) = Rs. 30000.
Question 5 of 40

5. Question
1 points
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive:
- Rs. 465
- Rs. 900
- Rs. 1550
- Rs. 2250
Correct

Incorrect

Let 4A= 6B= 10C= K

Then, $A=\frac{k}{4}, \, \, B=\frac{k}{6},\, \, C=\frac{k}{10}$

$\therefore A:B:C=\frac{k}{4}:\frac{k}{6}:\frac{k}{10}$

Hence C's share= $\left ( 4650\times \frac{6}{31} \right )=Rs \, \,900$
Question 6 of 40

6. Question
1 points
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share init?
- Rs. 2000
- Rs. 1900
- Rs. 2600
- Rs. 2300
Correct

Incorrect

Nirmal : Kapil = 9000×12 : 12000×6 + 6000 × 6 = 1 : 1.
Kapils share = Rs. [4600 ×(1/2)) = Rs. 2300.
Question 7 of 40

7. Question
1 points
A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
- 10500, 13500, 19500
- 10500, 13500, 18500
- 10500, 13500, 17500
- 10500, 13500, 16500
Correct

Incorrect

A:B:C = 35000:45000:55000 = 7:9:11

A's share = (7/27) ×40500 = Rs 10500
B's share = (9/27) ×40500 = Rs 13500
C's share = (11/27)×40500 = Rs 16500

[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly]
Question 8 of 40

8. Question
1 points
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by:
- Rs. 2400
- Rs. 3600
- Rs. 3000
- Rs. 4800
Correct

Incorrect

A:B: C = 16000×3 + 11000×9:12000×3 + 17000×9:21000×6 = 147:189:126 = 7:9:6

Difference of B and C’s shares = Rs. [26400 ×(9/22) — 26400 ×(6/22)) = Rs. 3600.
Question 9 of 40

9. Question
1 points
A and B start a business jointly A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of total profit, B claims 2/7 How much money was contributed by B?
- Rs. 10,500
- Rs. 11,900
- Rs. 12,800
- Rs. 13,600
Correct

Incorrect

$\frac{A's\, \,capital\times A's time\, �in \, partnership}{B's\, \,capital\times B's time\, �in \, partnership}=\frac{A'\, \,capital}{B'\, \,capital}$

$\frac{16000\times 8}{B'captal\times 4 }=\frac{5/7}{2/7}$

B' capital= 12,800
Question 10 of 40

10. Question
1 points
Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
- Rs 200
- Rs 300
- Rs 400
- Rs 500
Correct

Incorrect

Let C = x.
Then B = x/2
and A = x/4

A:B:C = 1:2:4.
C's share Rs.[(4/7)×700) = 400
Question 11 of 40

11. Question
1 points
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
- Rs. 6000
- Rs. 4000
- Rs. 10000
- Rs. 5000
Correct

Incorrect

Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 × 6 : x ×12.
120000/12x : 6000/3000 or x = 120000/24 = 5000.
Question 12 of 40

12. Question
1 points
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of years?
- 2 : 3 : 5
- 3 : 4 : 7
- 4 : 5 : 9
- None of these
Correct

Incorrect

A : B : C = (40000 × 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336 = 3 : 4 : 7
Question 13 of 40

13. Question
1 points
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
- 3:7:5
- 6:10:5
- 6:10:7
- 6:7:5
Correct

Incorrect

Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment

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

A:B:C =(3x×12):(5x×12):(5x×6)

= 36 :60 :30

= 6 :10 :5
Question 14 of 40

14. Question
1 points
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Awl joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
- Rs. 4000
- Rs. 6000
- Rs. 4500
- Rs. 8000
Correct

Incorrect

Yogesh : Pranab : Atul = 45000 ×12 : 60000×9 : 90000 × 3 = 2 : 2 : 1
Atuls share = Rs. 20000 ×(1/5) = Rs. 4000.
Question 15 of 40

15. Question
1 points
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
- 4 months
- 5 months
- 6 months
- 8 months
Correct

Incorrect

Suppose B joined for x months. Then,

$\left (\frac{85000\times 12}{42500\times x}=\frac{3}{1}\right )$

$\Rightarrow \left (\frac{85000\times 12}{42500\times 3}\right )=8$
Question 16 of 40

16. Question
1 points
A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then theirtotal profit is:
- Rs. 16000
- Rs. 20000
- Rs. 24000
- Rs. 28000
Correct

Incorrect

Suppose B invested Rs. x for y months.

Then A invested Rs. 3x for 2y months.

A:B = 3x × 2y : x × y = 6:1

Bs profit: Total profit = 1: 7.

(1/7) = 4000/z or z = 28000

Hence, total profit Rs. 28000.
Question 17 of 40

17. Question
1 points
Rs. 700 is divided among A, B, C so that A receives half as mh as B and B half as much as C. Then C’s share is
- Rs. 200
- Rs. 400
- Rs. 300
- Rs. 600
Correct

Incorrect

Let C = x.Then B = x/2 and A = x/4

A:B:C = 1:2:4.

C’s share Rs.[700×(4/7)) = 400.
Question 18 of 40

18. Question
1 points
A man started a business investing Rs. 70,000 Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
- 7 : 6 : 10
- 12 : 15 : 16
- 42 : 45 : 56
- Cannot be determined
- None of these
Correct

Incorrect

Aman : Rakhi : Sagar = (70000× 36) : (105000 × 30) : (140000×24) = 12 : 15 : 16.
Question 19 of 40

19. Question
1 points
A, B andC enter into a partnership. A initially invests Rs. 25 Iakhs and ádds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs aiid withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
- 20:19:18
- 20 : 20 : 19
- 10:10:9
- 19 : 19 : 18
Correct

Incorrect

Ratio of their shares = (25 lakhs ×1) + ( 35 lakhs× 2) : (35 lakhs×2 + 25 lakhs ×1) : (30 lakhs × 3)

= 95 lakhs : 95 lakhs : 90lakhs = 19 : 19 : 18.
Question 20 of 40

20. Question
1 points
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
- 4
- 5
- 6
- 7
Correct

Incorrect

Suppose B joined after x months then,

21000 × 12=36000 × (12-x)

=> 36x = 180

=> x = 5
Question 21 of 40

21. Question
1 points
Alok started a business investing Rs. 90000. After 3 months Shabir joined him with a capital of Rs. 120000. If at the end of 2 years, the total profit made by them was Rs. 96000, what will be the differencebetween their shares?
- Rs. 20000
- Rs. 7384
- Rs. 24000
- none of these
Correct

Incorrect

Alok: Shabir = 90000 x 24: 120000 x 21 = 6 : 7. Difference of their shares

= Rs. [96000× (7/13) - 96000×(6/13)] = Rs. (96000/13) = Rs.7384.62.
Question 22 of 40

22. Question
1 points
In a business, A and C invested amounts in the ratio 2 :1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57,300 was their profit, how much amount did B receive?
- Rs. 24,200
- Rs. 36,300
- Rs. 48,400
- Rs. 72,600
Correct

Incorrect

A:B = 3:2 = 6:4

=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13) ×157300= 48400
Question 23 of 40

23. Question
1 points
A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
- Rs 690
- Rs 790
- Rs 890
- Rs 990
Correct

Incorrect

A: B :C = (8000× 6):(4000×8):(8000×8)

= 48 : 32 :64

= 3 : 2 : 4

So B share =(2/9)× 4005 = Rs 890
Question 24 of 40

24. Question
1 points
Mohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000, What is the share of Sudhir in a half yearly profit of Rs. 9500?
- Rs. 3500
- Rs. 2500
- Rs. 3000
- Rs. 4000
Correct

Incorrect

Mohinder : Surinder : Sudhir = 12000×6 : 9000×6 : 15000×3 = 8: 6: 5

sudhirs share =Rs. (9500×(5/19)) = 2500
Question 25 of 40

25. Question
1 points
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800 Deepak’s share is:
- Rs. 5400
- Rs. 7200
- Rs. 8400
- Rs. 9600
Correct

Incorrect

Ratio of their shares= 22500: 35000=9:14

Deepak share= $\left (13800\times \frac{14}{23}\right)= Rs 8400$
Question 26 of 40

26. Question
1 points
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?
- Rs 2300
- Rs 2400
- Rs 2500
- None of above
Correct

Incorrect

Nirmal:Kapil =9000×12:(12000×6+6000×6) = 1 : 1$$

Kapils share = Rs. [4600×(1/2)) =Rs. 2300
Question 27 of 40

27. Question
1 points
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
- Rs. 2000
- Rs. 3000
- Rs. 4000
- Rs. 5000
Correct

Incorrect

Suppose Ramesh invested Rs. x. Then,

Manoj : Ramesh = 20000 ×6 : x ×12.

120000/12x : 6000/3000

=> x = 120000/24 = 5000
Question 28 of 40

28. Question
1 points
A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is:
- Rs. 16,000
- Rs. 20,000
- Rs. 24,000
- Rs. 28,000
Correct

Incorrect

Suppose B invest Rs x for y month. the, A invest Rs 3x for 2y months.

So, A:B $=\left (3x\times 2y \right ):\left ( x:y \right )=6xy:xy=6:1$

B's total : Total profit= 1: 7

let the profit be Rs x.= 1/7=4000/x=28000
Question 29 of 40

29. Question
1 points
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
- Rs 7000
- Rs 6000
- Rs 5000
- Rs 4000
Correct

Incorrect

Just take care of the months of investment, rest all will be simple.

Yogesh : Pranab : Atul = 45000×12:60000×9:90000×3

= 2:2:1

Atul's share = Rs. 20000 ×(1/5) = Rs. 4000
Question 30 of 40

30. Question
1 points
In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive.
- Rs 48000
- Rs 47000
- Rs 47400
- Rs 48400
Correct

Incorrect

A:B = 3:2 = 6:4

=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13)×157300 = 48400
Question 31 of 40

31. Question
1 points
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, C’s share is :
- Rs. 8625
- Rs. 9000
- Rs. 10,800
- Rs. 11,250
Correct

Incorrect

Let A's investment be x.

Then, the ratio of capital= $\left (x\times 12\right ):\left ( 2x\times 6 \right ):\left ( 3x\times 4 \right )=12x : 12x : 12x=1 : 1 : 1$

$\therefore C's \, \,share=Rs\left ( 27000\times\frac{1}{3} \right )=9000$
Question 32 of 40

32. Question
1 points
A, B and C started a shop by investing Rs. 27,000, Rs. 72,000 and Rs. 81,000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 36,000, then the total profit was :
- Rs. 80,000
- Rs. 95,600
- Rs. 1,08,000
- Rs. 1,16,000
Correct

Incorrect

A : B : C = 27000 : 72000 : 81000 = 3 : 8 : 9. So, C's share : Total Profit = 9 : 20.

Let the total profit be Rs. x. Then,

$\frac{9}{20}=\frac{36000}{x}\, \,or \, \,x=\frac{36000\times 20}{9}=80,000$
Question 33 of 40

33. Question
1 points
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of sameer in the profit?
- Rs. 1883.78
- Rs. 2380
- Rs. 3690
- Rs. 3864
Correct

Incorrect

Kamal : Sameer = (9000 x 12) : (8000 x 7) = 108 : 56 = 27 : 14

Sameer's share = Rs. $\left (6970\times\frac{14}{41} \right )=Rs\, \,2380$
Question 34 of 40

34. Question
1 points
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C ?
- 3 : 5 : 2
- 3 : 5 : 5
- 6 : 10 : 5
- Data inadequate
- None of these
Correct

Incorrect

Let the initial investments of A and B be 3x and 5x.

A : B : C = (3x × 12) : (5x × 12) : (5x ×6) = 36 : 60 : 30 = 6 : 10 : 5.
Question 35 of 40

35. Question
1 points
Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
- 8 months
- 10 months
- 11 months
- 17 months
Correct

Incorrect

Let the total profit be Rs. Z

Bharti's share = (2/3)Z

Rahul's Share = Z - (2/3)Z = Z/3

Rahul:Bharti = Z/3 : (2/3)Z = 1:2

Now let the total capital be Rs X, and Bharti capital was used for Y months

then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4

$\frac{\frac{1}{4}x\times 15}{\frac{3}{4}x\times Y}=\frac{1}{2}=10$

So Bharti's money was used for 10 months
Question 36 of 40

36. Question
1 points
A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdraw Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by:
- Rs. 2400
- Rs. 3000
- Rs. 3600
- Rs. 4800
Correct

Incorrect

A : B : C = 16000×3 + 11000×9 : 12000×3 + 17000×9 : 21000×6

= 147 : 189 : 126 = 7 : 9 : 6

Difference of B and C’s shares =

Rs. [26400×(9/22) - 26400×(6/22)]= Rs. 3600
Question 37 of 40

37. Question
1 points
Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
- 17:1
- 17:2
- 17:3
- 17:4
Correct

Incorrect

Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.

P:Q = 85000:15000 = 17:3

Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
Question 38 of 40

38. Question
1 points
X and Y invested in a business, They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
- Rs. 45,000
- Rs. 50,000
- Rs. 60,000
- Rs. 80,000
Correct

Incorrect

For X,

$\frac{2}{5}\times x=40000\Rightarrow x=100000$

For Y,

$\frac{3}{5}\times 100000=60,000$
Question 39 of 40

39. Question
1 points
Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
- 19:49:64
- 20:49:64
- 20:49:65
- 20:50:64
Correct

Incorrect

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively

Then, 14x : 8y : 7z = 5 : 7 : 8

Now, 14x/8x = 5/7
=> y = (49/20)x

14x/7z = 5/8

=> z = (16/5)x

=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64
Question 40 of 40

40. Question
1 points
Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is
- Rs 9600
- Rs 8500
- Rs 8450
- Rs 8400
Correct

Incorrect

Ratio of their shares = 22500 : 35000
=9 : 14

Deepak's share = Rs.(13800×14/23)
= Rs. 8400