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If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?

A.

Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750

B.

Ram = Rs.1200, Shyam = Rs.1300, Mohan = Rs.750

C.

Ram = Rs.2500, Shyam = Rs.500, Mohan = Rs.250

D.

None

Answer with explanation

Answer: Option AExplanation

Explanation:

1/2:1/3:1/4 = 6:4:3

Ram = 6/13 * 3250 = 1500

Shyam = 4/13 * 3250 = 1000

Mohan = 3/13 * 3250 = 750

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Rs. 15000 were invested by Ram and Shyam together to start a small business. They got a profit of Rs. 2000 at the end of the year. Shyam took his profit share of Rs. 600. How much did Ram invest?

A.

Rs. 9000

B.

Rs. 10500

C.

Rs. 4500

D.

Rs. 11000

Answer with explanation

Answer: Option BExplanation

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A.

5 months

B.

4 months

C.

6 months

D.

7 months

Answer with explanation

Answer: Option CExplanation

4 months

Step-by-step explanation:

Assume that C was there in the business for x months

A:B:C = 40000*12 : 60000*10 : 120000*x

= 40*12 : 60*10 : 120x = 40 : 5*10 : 10x

=8 : 10 : 2x

= 4 : 5 : x

C’s share = 375000*x/(9+x) = 150000

=> 375x/(9+x) = 150

=> 15x = 6(9+x)

=> 5x = 18 + 2x

=> 3x = 18

=> x = 18/3 = 6

It means C was there in the business for 6 months. Given that B joined the business

after 2 months. Hence C joined after 4 months after B joined

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A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A.

7500

B.

8500

C.

9000

D.

8000

Answer with explanation

Answer: Option AExplanation

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X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

A.

Rs.26400

B.

Rs.12500

C.

Rs.12000

D.

Rs.14400

Answer with explanation

Answer: Option DExplanation

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A and B start a business jointly. A invests Rs 16000 for 8 month and B remains in the business for 4 months. Out of total profit, B claims 2/7 of the profit . How much money was contributed by B?

A.

12400

B.

12800

C.

11200

D.

12000

Answer with explanation

Answer: Option BExplanation

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A and B enter into partnership. At the end of 9 months B withdraws but A’s capitals is used for one month more. If they receive profit in the ratio of 5 : 6, then the ratio of their capital is ?

A.

4 : 3

B.

3 : 4

C.

5 : 6

D.

6 : 5

Answer with explanation

Answer: Option BExplanation

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The ratio of investments of two partners X and Y is 11 : 12 and the ratio of their profit is 2 : 3. If X invested the money for 8 months, then the time for which Y invested the money is ?

A.

10 months

B.

11 months

C.

8 months

D.

9 months

Answer with explanation

Answer: Option BExplanation

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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. 13,600

B.

Rs. 11,900

C.

Rs. 8400

D.

Rs. 14,700

Answer with explanation

Answer: Option DExplanation

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A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A.

Rs. 7500

B.

Rs. 9500

C.

Rs. 9000

D.

Rs. 10,000

Answer with explanation

Answer: Option AExplanation

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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. 30

B.

Rs. 45

C.

Rs. 50

D.

Rs. 40

Answer with explanation

Answer: Option BExplanation

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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?

A.

5 : 7 : 8

B.

C.

20 : 49 : 64

D.

None of these

Answer with explanation

Answer: Option CExplanation

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Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A.

A) A = 48000 B = 40000 C = 30000

B.

A = 30000 B = 40000 C = 48000

C.

A = 30000 B = 48000 C = 40000

D.

A = 40000 B = 48000 C = 30000

Answer with explanation

Answer: Option BExplanation

Compound ratio of A:B:C

A:B = 3:4

B:C = 5:6

———-

A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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A.

Rs. 5250

B.

Rs. 4500

C.

Rs. 6150

D.

Rs. 4800

Answer with explanation

Answer: Option CExplanation

The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15

= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60

Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.

The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k

It is given that A paid Rs. 1125

45k = 1125 => k = 25

246k = 246(25) = Rs. 6150

Thus the total rent paid by all the four agencies is Rs. 6150.

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A.

Rs 8000

B.

Rs 5000

C.

Rs 6000

D.

Rs 7000

Answer with explanation

Answer: Option AExplanation

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

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Rs. 1087 was divided among A, B and C. Such that if Rs. 10, Rs. 13 and Rs. 14 be diminished from their shares respectively, the remainders will be in the ratio of 3 : 5 : 7. What is the share of A?

A.

Rs. 320

B.

Rs. 310

C.

Rs. 210

D.

Rs. 220

Answer with explanation

Answer: Option DExplanation

Total money divided among three = Rs. 1087

Total amount of money diminished = (10 + 13 + 14) = Rs. 37

Remaining money = 1087 – 37 = Rs. 1050.

Given that, remaining amount is in the ratio of 3 : 5 : 7.

So, share of A = (3/15)*1050 + 10

= 210 + 10 = Rs. 220

Therefore, share of A = Rs. 220.

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A.

Rs. 13,923

B.

Rs. 10,920

C.

Rs. 14,940

D.

Rs. 10,993

Answer with explanation

Answer: Option BExplanation

Ratio of share of profit between A, B and C = Ratio of investment

= 1600 : 3600 : 4800

= 4 : 9 : 12

Given, Total Profit earned by A = Rs. 5330

–> A’s share of Rs.5330 includes a fifth (ie., 1/5) of the total profit for his services and the share of the balance four fifths (i.e, 4/5) of the profit in the ratio of their investments.

A will get (4/25)th, B will get (9/25)th and C will get (12/25)th of four-fifths of the total profit as they share the remaining four-fifths of the profit in the ratio of their investments.

So, Total Profit earned by A = (1/5)x + (4/25)x * (4/5) = 5330

—> (x/5) + (16x/125) = 5330

—> (25x + 16x)/ 125 = 5330

—> 41x / 125 = 5330

—> x = (5330 * 125) / 41

—> x = 16,250

Then, B’s profit= (4/5) * (9/25) * x

= (4/5) * (9/25) * 16,250

= Rs. 4,680

C’s profit= (4/5) * (12/25) * x

= (4/5) * (12/25) * 16,250

= Rs. 6,240

Sum of the profit of B and C= Rs. 4,680 + Rs. 6,240 = Rs. 10,920

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A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?

A.

Rs.8000, Rs.17000

B.

Rs.9000, Rs.16000

C.

Rs.18000, Rs.7000

D.

Rs.10000, Rs.15000

Answer with explanation

Answer: Option DExplanation

The ratio of their profits A:B = 8:12 = 2:3

Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000

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Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join?

A.

7 months

B.

8 months

C.

3 months

D.

4 months

Answer with explanation

Answer: Option DExplanation

we can assume that Amar join into business after x months. So Amar money was invest into (12 – x ) months.

(76000×12)/(57000×(12−x))=2/1

–> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

–> x = 4

After 4 months amar join the business.

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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. 6200

B.

Rs. 6400

C.

Rs. 4200

D.

Rs. 7750

Answer with explanation

Answer: Option AExplanation

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.

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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?

A.

Rs. 2000

B.

Rs. 3000

C.

Rs. 4000

D.

Rs. 5000

Answer with explanation

Answer: Option DExplanation

Suppose Ramesh invested Rs. x. Then,

Manoj : Ramesh = 20000 * 6 : x * 12.

120000/12x : 6000/3000

x = 120000/24 = 5000

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A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?

A.

6:6:5

B.

12:23:11

C.

36:46:55

D.

3:15:25

Answer with explanation

Answer: Option CExplanation

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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.

169

B.

225

C.

144

D.

339

Answer with explanation

Answer: Option CExplanation

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.

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Arun started a business investing Rs. 38000. After 5 months Bakul joined him with a capital of Rs. 55000. At the end of the year the total profit was Rs. 22000. What is the approximate difference between the share of profits Arun and Bakul ?

A.

Rs. 1007

B.

Rs. 1857

C.

Rs. 1568

D.

Rs. 1928

Answer with explanation

Answer: Option BExplanation

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Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:

A.

Rs. 4000

B.

Rs. 5000

C.

Rs. 6000

D.

Rs. 7000

Answer with explanation

Answer: Option CExplanation

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P being a working partner gets 10% of the profit as salary, the remaining is shared between P, Q, R in the ratio 2 : 3 : 4, If P gets Rs. 300000, find the share of Q?

A.

Rs.200,000

B.

Rs.300,000

C.

Rs.400,000

D.

Rs.500,000

Answer with explanation

Answer: Option BExplanation

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X and Y enter into a partnership and invested Rs. 900 and Rs. 700 respectively. If they split half of the profit equally for their efforts and the balance in the ratio of their investments and X got Rs. 47 more than Y. what was the profit made by the company?

A.

Rs. 752

B.

Rs. 954

C.

Rs. 854

D.

Rs. 652

Answer with explanation

Answer: Option AExplanation

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A and B started a business by investing money in ratio of 5:6. C joined them after few months by sharing an amount equal to B’s share. At the end of year 20% profit was earned which was equal equal to Rs 98,000. How much money was invested by C ?

A.

215000

B.

172941

C.

172955

D.

172865

Answer with explanation

Answer: Option BExplanation

20%(5x+6x+6x)=98000

20%17x=98000

x=98000*5/17

=490000/17

money invested by c is =490000/17*6

2940000/17=172941rs

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