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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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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?

A.

Rs 2300

B.

Rs 2260

C.

Rs 2380

D.

Rs 2280

Answer with explanation

Answer: Option CExplanation

Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.

So

Kamal:Sameer = (9000*12):(8000*7)

= 108:56

= 27:14

Sameer Ratio in profit will be

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A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?

A.

37:45

B.

20:23

C.

34:43

D.

32:45

Answer with explanation

Answer: Option DExplanation

A : B

(8000*4)+(4000*8) : (9000*6)+(6000*6)

64000 : 90000

32 : 45

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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.

Rs. 18245

B.

Rs. 12628

C.

Rs. 10253

D.

Rs. 11235

Answer with explanation

Answer: Option BExplanation

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

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

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A starts a 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?

A.

Rs. 8000

B.

Rs. 8500

C.

Rs. 9000

D.

Rs. 9500

Answer with explanation

Answer: Option CExplanation

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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?

A.

8 Months

B.

4 months

C.

6 months

D.

5 months

Answer with explanation

Answer: Option AExplanation

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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

A.

6:10:5

B.

6:7:5

C.

3:7:5

D.

6:10:7

Answer with explanation

Answer: Option AExplanation

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 the 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

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