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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 gain be Rs.18000. A’s share is?

A.

Rs.7500

B.

Rs.7200

C.

Rs.6000

D.

Rs.5750

Answer with explanation

Answer: Option CExplanation

x* 12 : 2x* 6: 3x* 4

1:1:1

1/3 * 18000 = 6000

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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 ?

A.

Rs. 820

B.

Rs. 830

C.

Rs. 840

D.

Rs. 850

Answer with explanation

Answer: Option BExplanation

Let the total amount in the partnership be ‘x’.

Then A’s share = x/3

B’s share = x/4

C’s share = x/5

D’s share = x – (x/3 + x/4 +x/5) = 13x/60

A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13

A’s share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

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A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?

A.

Rs.270

B.

Rs.185

C.

Rs.215

D.

Rs.380

Answer with explanation

Answer: Option AExplanation

12*8 :16*9 = 18*6

8: 12: 9

9/29 * 870 = 270

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A.

Ram – 800rs, Raj – 900rs, Rakesh – 840rs

B.

Ram – 900rs, Raj -800rs, Rakesh -840rs

C.

Ram – 840rs, Raj -920rs, Rakesh -840rs

D.

Ram -800rs, Raj -900rs, Rakesh -940rs

Answer with explanation

Answer: Option AExplanation

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 = (2500×2 + 1250×4):(2250×3 + 1500×3):(3500×3)

= (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

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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 with explanation

Answer: Option CExplanation

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.

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A.

3500

B.

3600

C.

3700

D.

3800

Answer with explanation

Answer: Option BExplanation

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.

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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 with explanation

Answer: Option BExplanation

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.

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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 with explanation

Answer: Option AExplanation

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.

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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 with explanation

Answer: Option AExplanation

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

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

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A.

11 : 13 : 15

B.

11 : 13 : 17

C.

12 : 17 : 18

D.

12 : 15 :16

Answer with explanation

Answer: Option DExplanation

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

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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 with explanation

Answer: Option CExplanation

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

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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.

10110

B.

10500

C.

12000

D.

13000

Answer with explanation

Answer: Option BExplanation

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.

Simran’s share = Rs. ( 24500 * 3/7) = Rs. 10500.

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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 with explanation

Answer: Option AExplanation

A:B:C = (10×7):(12×5):(15×3)

= 70 :60 :45

= 14 :12 :9

C’s rent = Rs.(175×9/35)

=Rs. 45.

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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 with explanation

Answer: Option CExplanation

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.

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A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B’s capital was used?

A.

6 months

B.

8 months

C.

10 months

D.

7 months

Answer with explanation

Answer: Option DExplanation

7 * 8 : 9 * x = 8:9 => x= 7

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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

Answer with explanation

Answer: Option AExplanation

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.

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A.

5:3:4

B.

4:6:2

C.

5:3:2

D.

4:6:3

Answer with explanation

Answer: Option DExplanation

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

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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. 200

B.

Rs. 300

C.

Rs. 800

D.

Rs. 600

Answer with explanation

Answer: Option CExplanation

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

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Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

A.

Rs. 890

B.

Rs. 1335

C.

Rs. 1602

D.

Rs. 1780

Answer with explanation

Answer: Option AExplanation

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)

= 48 : 32 : 64

= 3 : 2 : 4.

Kamal’s share = Rs. | 4005 x | 2 | = Rs. 890. | ||

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A.

Rs. 45

B.

Rs. 50

C.

Rs. 55

D.

Rs. 60

Answer with explanation

Answer: Option AExplanation

A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.

C’s rent = Rs. | 175 x | 9 | = Rs. 45. | ||

35 |

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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:

A.

Rs. 8400

B.

Rs. 11,900

C.

Rs. 13,600

D.

Rs. 14,700

Answer with explanation

Answer: Option DExplanation

Let C = *x*.

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

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

3*x* = 36000

*x* = 12000

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

A’s share = Rs. | 35000 x | 21 | = Rs. 14,700. | ||

50 |

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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.

A.

17:4

B.

17:3

C.

17:2

D.

17:1

Answer with explanation

Answer: Option BExplanation

Note: If you have a 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 here that if both have invested for a different period of times then we had to multiply with the number of months to get the desired ratio.

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A.

Rs. 120

B.

Rs. 100

C.

Rs. 90

D.

Rs. 80

Answer with explanation

Answer: Option CExplanation

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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. 500

B.

Rs. 400

C.

Rs. 300

D.

Rs. 200

Answer with explanation

Answer: Option BExplanation

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

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A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:

A.

Rs. 11,500, Rs. 13,000, Rs. 16,000

B.

Rs. 11,000, Rs. 14,000, Rs. 15,500

C.

Rs. 11,500, Rs. 12,500, Rs. 16,500

D.

Rs. 10,500, Rs. 13,500, Rs. 16,500

Answer with explanation

Answer: Option DExplanation

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

A’s share = 40500 * 7/27 = Rs. 10500

B’s share = 40500 * 9/27 = Rs. 13500

C’s share = 40500 * 11/27 = Rs. 16500

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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.

4:7:8

B.

4:6:8

C.

4:9:16

D.

4:8:16

Answer with explanation

Answer: Option CExplanation

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

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A.

Rs. 2840

B.

Rs. 2800

C.

Rs. 2660

D.

Rs. 1900

Answer with explanation

Answer: Option CExplanation

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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.

Rs. 12,500

B.

Rs. 10,500

C.

Rs. 10,250

D.

Rs. 9,423

Answer with explanation

Answer: Option BExplanation

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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 ?

A.

Rs. 2200

B.

Rs. 2300

C.

Rs. 2400

D.

Rs. 2500

Answer with explanation

Answer: Option BExplanation

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

Kapils share = Rs. [4600 *(1/2)) = Rs. 2300

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Priya, Roja and Riya divide an amount of Rs. 8400 amongst themselves in the ratio of 7 : 8 : 6, respectively. If an amount of Rs. 400 is added to each of their shares, What will be the new respective ratio of their shares of amount?

A.

8 : 9 : 7

B.

8 : 9 : 5

C.

7 : 8 : 6

D.

7 : 9 : 5

Answer with explanation

Answer: Option AExplanation

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