PARTNERSHIP EXAMPLE QUESTIONS

Partnership Example Questions:

Solve the given practice questions based on partnership. Also, the answer key and explanations are given for the same.

1.Mehak and Shavi invest their money in a business with the amount of Rs. 30000 and Rs. 35000 for 1 year. Find the Ratio of their profit.

1. 4:5

2. 7:3

3. 6.7

4. None of these

Answer & Explanation

Answer : Option 3

When time period is same then ratio of investment is equal to the ratio of their profit.

Required ratio = Mehak : Shavi= 30000:35000 = 6 : 7

2.Rohit started a partnership business with Mohit with investing amount of Rs. 50000 and 45000 respectively. After 8 months Deepak joined them with the amount of 30000. At the end of year, they get the profit of Rs. 4200. How much money Deepak get as his profit?

1. Rs. 300

2. Rs. 400

3. Rs. 500

4. None of these

Answer & Explanation

Answer : Option 2

Ratio of their profit = Rohit : Mohit : Deepak= 50000×12: 45000×12: 30000× 4= 10:9:2

Deepak’s profit’s share= 4200 × 2/21= Rs. 400

3.Sahil & Nitish rent a stable for 9 months. Sahil puts in 84 horses for 5 months. How many horses can Nitish put in remaining month, if Nitish pay twice of Sahil?

1. 210

2. 310

3. 120

4. None of these

Answer & Explanation

Answer : Option 1

Let X be the number of horses put by the Nitish for 4 months;

(84 × 5)/(X × 4)= 1/2

X=210

4.Shina and Bhuwan started a business of utensils in Jagadhari by investing their money in the ratio of 4:3 respectively. After seven months, Preeti joined them by investing her money equal to Shina’s investment. After 2 years, they get 25% profit which is equal to the amount Rs. 14750. Find the Investment of Preeti.

1. Rs. 24000

2. Rs. 17000

3. Rs.18000

4. None of these

Answer & Explanation

Answer : Option 2

Let their weighted ratio be 4x, 3x, and 4x

First of all, to calculate their weighted ratios

⇒ Shina =4 × 24 (2 years = 24 months) = 96

⇒ Bhuwan = 3 × 24 (2 years = 24 months) = 72

⇒ Preeti= 4 × 17 (24 months – 7 months) = 68

Ratio will be: 24:18:17

Total profit after 2 years = 14750 × 100/25 = Rs 59000

⇒ Investment by Preeti = 59000 × 17 / 59 = Rs 17000

5.Poonam, Swami & Deepa started a partnership business investing their money in the ratio of 3:5:7. After 3 months Kusum joined them and investing her money which is equal to the swami’s investment. Find the ratio of their profit at the end of the year.

1. 15 : 17 :18:232. 12:20:28:15

3. 12:20:28:254. None of these

Answer & Explanation

Answer : Option 2

Let initial investment of Poonam, Swami & Deepa is 3x, 5x & 7x respectively, then Kusum’s investment is also 5x.

Like Poonam , Swami , Deepa invested for 12 months and Kusum invested for 9months.

Ratio of profit is equal to the product of their Investment & Time Period.

Therefore, Poonam: Swami : Deepa: Kusum = (3x*12):(5x*12):(7x*12):(5x*9)

= 12:20:28:15

6.Mini started a business with investment amount of Rs. 54000 and after some months Mice joined her with investment money of Rs.72000. Mice invested his money for how many months if at the end of year profit is equally divided between them.

1. 42. 7

3. 94. None of these

Answer & Explanation

Answer : Option 3

Let Mice joins after x months.

Then Mice’s investments was for (12-x) months

Since the profits was divided equally.

54000×12=72000(12-x)

X=3

Mice’s joined after 3 months or we can also say that he invested his money for 9 months.

7.Prince and Nakul stared a partnership business by investing Rs. 5400 and Rs 4620 respectively. After 9 months, Nakul Leaves and took his capital. At the end of year they earned a profit of Rs. 3940. What was Nakul’s Profit?

1. Rs. 13002. Rs. 1540

3. Rs. 15004. None of these

Answer & Explanation

Answer : Option 2

Prince: Nakul = (5400 x 12) : (4620 x 9) = 120 : 77.

∴ Nakul's share = Rs (3940 × (77/197) ) = Rs 1540

8.Three partners Meena, Sheena and Love shared the profit in a partnership business in the ratio 3:4:7. They had partnered for 7 months, 7 months and 9 months respectively. Find their investment ratio?

1. 27:36:492. 29:37:49

3. 30:29:474. None of these

Answer & Explanation

Answer : Option 1

Let their investments be Rs. x for 7 months, Rs. y for 7 months and Rs. z for 9 months respectively.

Then, 7x : 7y : 9z = 3:4:7.

Now, (7x/7y) = (3/4) ⇒ 4x= 3y ⇒ y = (4/3)x

And, (7x / 9z) = (3/7) ⇒ 49x = 27z ⇒ z = (49/27) x

By substituting the values of y and z in the form of x

Therefore, x : y : z = x : (4/3)x : (49/27)x

Hence, x:y:z = 27:36:49

9.Anu started a business with the amount of Rs. 27000 and after some months Kusum with the investing amount of Rs. 36000. At the end of year, the ratio of their profit is 3:2. After how many months Kusum joined?

1. 42. 6

3. 74. None of these

Answer & Explanation

Answer : Option 2

Suppose Kusum joined for x months. Then, (27000 × 12)/ (36000 × x) = 3/2.

By solving for x, we get the value of x = 6.

Hence, Kusum joined for 6 months.

10.Manika and Neetu went to a trip to Jaipur. They had 15 and 12 breads respectively. Swati joined them and contributed Rs. 81 and each get equal number of breads. How much amount should be paid by Swati to Neetu?

1. Rs. 272. Rs. 29

3. Rs. 504. None of these

Answer & Explanation

Answer : Option 1

Total number of breads with Neetu and Manika is 27. So, each of them will have 9 breads each.

The cost of 9 breads is Rs. 81.

Therefore, cost of 1 bread is 81/9= Rs. 9

Swati got 3 breads from Neetu. So she has to pay = 9×3=Rs. 27

11.A, B and C started a business each investing Rs.10000. After 4 month A withdraws Rs.3000, B withdraws Rs.4000, C invest Rs.3000 more At the end of the years, a total profit was Rs.32800. Find the share of C.

A. Rs. 10000

B. Rs. 14400

C. Rs. 17600

D. Rs. 19200

E. None of These

Answer & Explanation

Answer : Option B

Ratio of capital of A, B and C.

= ( 10,000 × 4 + 7000 × 8 ) : ( 10,000 × 4 + 6000 × 8 ) : ( 10,000 × 4 + 13000 x 8 )

= 96000 : 88000 : 144000

So, Ratio becomes 12 : 11:18

Distributing the final profit of Rs. 32800 in the given ratio, the share of C becomes 14400.

12.Joey started a business and he invested in 38000, After some month, amar came to join with him and invest 28500.The end of the year the total profit was divided among them into ratio form 16: 8.Find after how many months did amar join.

A. 4

B. 6

C. 8

D. 3

E. None of These

Answer & Explanation

Answer : Option A

Step 1: we can assume that amar join into business after x months. So amar money was invested for (12 – x) months.

Step 2: 38000 x 12 / 28500 x ( 12 – x ) = 2 / 1 (The given ratio of 16 :8 is equivalent to 2 :1)

456000 = 28500 ( 12 – x ) = 57 ( 12 – x ) = 456 = x = 4

After 4 months amar join the business.

13.Shakeel started a software business by investing Rs. 20,000. After six months, Neel joined him with a capital of Rs. 30,000. After 3 years, they earned a profit of Rs. 13,950. What was Shakeel’s share in the profit?

A. Rs. 6200B. Rs. 6400C. Rs. 4200

D .Rs. 7750E. None of These

Answer & Explanation

Answer : Option A

Ratio of capitals of Shakeel and Neel

= (20,000 × 36): (30,000 × 30) = 720000: 900000 = 4: 5.

Shakeel’s share is = Rs. 13950 × 4 / 9 = Rs. 6200.

14.A, B and C started a business by investing Rs. 250000 Rs. 300000 and Rs.350000 respectively.Find the share of B, out of an annual profit of Rs.187200.

A. Rs. 65400B. Rs. 62400C. Rs. 63400

D. Rs. 66200E. None of These

Answer & Explanation

Answer : Option B

Ratio of shares of A, B and C = Ratio of their investment

A : B : C = 250000 : 300000 : 350000 = 5 : 6 : 7

Share of B = Rs. [187200 x 6 / 18] = 62400.

15.Abu and Salim started a partnership business investing some amount of money in the ratio of 4 : 6 . Shakeel joined them after six months with an amount equal to that of Salim . In what proportion should the profit at the end of one year be distributed among Abu, Salim and Shakeel ?

A. 5:3:4B. 4:6:2C. 5:3:2

D. 4:6:3E. None of These

Answer & Explanation

Answer : Option D

As (4:6 is equivalent to 2:3) So let the initial investment of money ratio of Abu and Salim is 2x and 3x. So Abu , Salim and Shakeel ratio of investment will be ( Abu : Salim : Shakeel ) = (2x × 12 ) : ( 3x × 12 ) : ( 3x × 6 ) = 24 : 36 : 18 = 4 : 6 : 3

16.Munna received Rs. 3000 as his share out of the total profit of Rs. 4500 which he and Raju earned at the end of one year. If Munna invested Rs.60000 for 6 months, whereas Raju invested his amount for the whole year, what was the amount invested by Raju?

A. Rs. 12000B. Rs. 15000C. Rs. 18000

D. Rs. 50000E. None of These

Answer & Explanation

Answer : Option B

Suppose Raju invested Rs. x. Then, Ratio of their investments will be:

Munna : Raju = 60000 * 6 : x *12.

360000/12x= 3000/1500

x = 15000

17.Vimla started a business investing Rs. 90000. After 3 months, Pulkit joined him with a capital of Rs. 120000. After another 6 months, Alia joined them with a capital of Rs. 180000. At the end of the year, they made a profit of Rs. 40000. What would be Alia’s share in it?

A. Rs 7000B. Rs 6000C. Rs 5000

D. Rs 8000E. None of These

Answer & Explanation

Answer : Option D

Ratio of investments of Vimla, Pulkit and Alia

Vimla:Pulkit:Alia = 90000*12:120000*9:180000*3 = 2:2:1

Alia share = Rs. 40000 * (1/5) = Rs. 8000

18.In business, Anuj and Chirag invested amounts in the ratio 4:2, whereas the ratio between amounts invested by Anuj and Bimal was 6:4, If Rs 314600 was their profit, how much amount did Bimal receive?

A. Rs 88000B. Rs 98000C. Rs 94400

D. Rs 96800E. None of These

Answer & Explanation

Answer : Option D

Anuj:Bimal = 6:4 = 3:2

Anuj:Chirag = 4:2 = 2:1

Anuj:Bimal:Chirag = 6:4:3

Bimal’s share = (4/13)*314600 = 96800

19.Clark got Rs.3000 as his share out of a total profit of Rs.4500 which he and Chintu earned at the end of one year. If Clark invested Rs.10000 for 6 months, where as Chintu invested his amount for the whole year, what was the amount invested by Chintu ?

A. Rs. 1000B. Rs. 5000C. Rs. 2200

D. Rs. 2500E. None of These

Answer & Explanation

Answer : Option D

Clark got 3000 so Chintu got 1500 .(The ratio becomes 2:1)

Now as Clark invested 10000 for 6 months and chintu invested x for the whole year so the ratio becomes:

(10000*6)/(x*12) = 2:1

Solving for x we get ⇒ 2500

20.Rs.1400 is divided among Amla,Bimla and Simla so that Amla receives half as much as Bimla and Bimla half as much as Simla. Then Simla's share is:

A. Rs. 200B. Rs. 300C. Rs. 800

D. Rs. 600E. None of These

Answer & Explanation

Answer : Option C

Let Amla's share = Rs.x. Then

Bimla's share = Rs.2x

Simla's share = Rs.4x

Amla:Bimla:Simla = x:2x:4x=1:2:4

Hence, Simla's share = 1400*4/7 = Rs.800

21.A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is :

A) 500

B) 1000

C) 1500

D) 2000

Answer & Explanation

Answer: C) 1500

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A's share = (95*3/5) = Rs. 57.

If A's share is Rs. 57, total profit = Rs. 100.

If A's share is Rs. 855, total profit = (100/57*855) = 1500

22.A, B, C started a business with their investments 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

Answer & Explanation

Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

20x : 24x : 40x = 5 : 6 : 10

23.A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 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 ?

A) 4 months B) 5 months

C) 6 months D) 8 months

Answer & Explanation

Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

24.A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A) Rs. 45 B) Rs. 50

C) Rs. 55 D) Rs. 60

Answer & Explanation

Answer: A) Rs. 45

Explanation:

A:B:C = (10×7):(12×5):(15×3)

= 70 :60 :45

= 14 :12 :9

C's rent = Rs.(175×9/35)

=Rs. 45.

25.A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?

A) 3 months B) 6 months

C) 10 months D) 12 months

Answer & Explanation

Answer: C) 10 months

Explanation:

Let the total profit be Rs. z. Then,

B's share = Rs. 2z/3, A's share = Rs. ( z - 2z/3 ) = Rs. z/3.

A : B = z/3 : 2z/3 = 1:2

Let the total capital be Rs, X and suppose B's money was used for x months. Then.

(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .

Thus, B's money was used for 10 months.

26.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 :

A) 22000 B) 28000

C) 32000 D) 36000

Answer & Explanation

Answer: B) 28000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit = 1 : 7.

Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.

27.Aman 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 ?

A) 11 : 13 : 15 B) 11 : 13 : 17

C) 12 : 17 : 18 D) 12 : 15 :16

Answer & Explanation

Answer: D) 12 : 15 :16

Explanation:

Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.

28.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 :

A) 20000 B) 40000

C) 60000 D) 80000

Answer & Explanation

Answer: C) 60000

Explanation:

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

29.Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

A) 12628 B) 18245

C) 11235 D) 10253

Answer & Explanation

Answer: A) 12628

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

30.A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

A) Rs. 240 B) Rs. 75

C) Rs. 125 D) Rs. 354

Answer & Explanation

Answer: A) Rs. 240

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

31.A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

A) 150 B) 160

C) 170 D) 180

Answer & ExplanationAnswer: B) 160

Explanation:

A : B : C = 7 : 8 : 11.

Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.

32.A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :

A) 14700 B) 15000

C) 12000 D) 13500

Answer & Explanation

Answer: A) 14700

Explanation:

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. (35000 * 21/50 ) = Rs. 14,700.

33.A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144 B) 169

C) 225 D) 339

Answer & Explanation

Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share = Rs. (378*8/21) = Rs. 144.

34.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 ?

A) 48400 B) 54200

C) 64000 D) 74000

Answer & Explanation

Answer: A) 48400

Explanation:

A : B = 3 : 2 => B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3.

So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3.

B's share = Rs. (157300 x 4/13 ) = Rs. 48400.

35.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 :

A) 8400 B) 8200

C) 8100 D) 8000

Answer & Explanation

Answer: A) 8400

Explanation:

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

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

36.Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?

a. Total amount invested in the business in Rs. 22,000.

b. Profit earned at the end of 3 years is 3/8 of the total investment.

c. The average amount of profit earned per year is Rs. 2750.

A) Only c is sufficient

B) Both a & b are sufficient

C) Both A & B gives result

D) None

Answer & Explanation

Answer: C) Both A & B gives result

Explanation:

a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250.

From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

∴ P's share = Rs.(8250 x 5/11) = Rs. 3750.

Thus, (either C is redundant) or (a and b are redundant).

37.Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

A) Rs. 1100 B) Rs. 500

C) Rs. 1200 D) Rs. 700

Answer & Explanation

Answer: B) Rs. 500

Explanation:

Let the amounts to be received by P, Q and R be p, q and r.

p + q + r = 1200

p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200

=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200

=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

38.Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8 B) 4:7:8

C) 4:8:16 D) 4:9:16

Answer & Explanation

Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4

And, 12x/6z = 4/8 <=> 4x=z <=> z=4x

Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16

39.P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?

A) 17:23 B) 17:3

C) 17:33 D) 3:4

Answer & Explanation

Answer: B) 17:3

Explanation:

P : Q = 85000 : 15000 = 86 : 15 = 17 : 3 .

40.Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489

C) Rs. 4511 D) Rs. 6145

Answer & Explanation

Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

Satish Ratio in profit will be= 16970×21/79 = Rs. 4511

41.Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

A) 11/3 B) 2/13

C) 3/11 D) 13/4

Answer & Explanation

Answer: C) 3/11

Explanation:

Let Veena paid x,

so Akshitha paid 2x/3 , and Lasya paid 2x,

So total bill paid is given by

x+(2x/3) +2x = 1, we get

i.e. x = 3/11

42.Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840

C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840 D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940

Answer & Explanation

Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.

After 2 months he withdraw Rs.1250 from his capital.

Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:

Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)

= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540

Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800

Raj's share = Rs.(2540 x 45/127) = Rs.900

Rakesh's share = Rs.(2540 x 42/127) = Rs.840

43.A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 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. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by

A) 3500 B) 3600

C) 3700 D) 3800

Answer & Explanation

Answer: B) 3600

Explanation:

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.

44.Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

A) Rs.2010 B) Rs.2200

C) Rs.2000 D) Rs.2100

Answer & Explanation

Answer: C) Rs.2000

Explanation:

Let money invested by Raghu = Rs. x

Money invested by Trishul = 9/10 x = 0.9x

Money invested by Vishal = 9/10x * 110/100 = 0.99x

Also, x+0.9x+0.99x = 5780

= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

45.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

A) Rs 200 B) Rs 300

C) Rs 400 D) Rs 500

Answer & ExplanationAnswer: C) Rs 400

Explanation:

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

46.Deepa started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Sushma joined her with an amount of Rs.70,000. Deepa invested another Rs. 20,000 in 2011 and Avanthi joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Sushma's share ?

A) Rs. 75,000 B) Rs. 85,000

C) Rs. 98,000 D) Rs. 1,00,000

Answer & Explanation

Answer: D) Rs. 1,00,000

Explanation:

Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.

i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.

Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 months

And, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months.

Their investing ratio:

Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)

= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1

Total profit for 3 years = Rs.3,00,000

Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.

47.A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76

C) 84 D) 98

Answer & Explanation

Answer: C) 84

Explanation:

Given total sum = Rs. 427

And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.

=> 3A = 4B = 7C

But given

=> A + B + C = 427

Now express A and B in terms of C i.e

=> (7C/3) + (7C/4) + C = 427

=> C = 84

48.Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423

C) 11,600 D) 10,500

Answer & Explanation

Answer: D) 10,500

Explanation:

The ratio of their investments:

50000x36 : 80000x30 = 3 : 4

Simran's share of profit = (24500x3/7) = Rs.10,500.

49.Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rajeev and ten times the investment of Shakti. Find the profit of Rajeev ?

A) 50000 B) 48000

C) 38000 D) 40000

Answer & Explanation

Answer: C) 38000

Explanation:

Here from the given information,

The ratio of investments of Rajeev, Deepu & Shakti is

R : D : S = (10000 × 12) : (12000 × 10) : (7200 × 8)

= 25 : 25 : 12

Now the Profit = 2 × (72000-10000) = 124000

Share of Rajeev = 124000 x 25/62 = 48000

Profit of Rajeev = 48000 - 10000 = 38000

50.A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?

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