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Q 1.

Correct2

Incorrect-0.5

A and B invest in the ratio of 3 : 5 respectively. After 6 months , C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A,B and C at the end of year?

6 : 10 : 5

3 : 5 : 5

3 : 5 : 2

6 : 2 : 3

Let investment of A = 3x

Investment of B = 5x

Investment of C = 5x

As we know ratio of profits = Ratio of investments

A's share : B's share : C's share

= 3x X 12 : 5x X 12 :5x X (12 - 6)

= 3x X 12 : 5x X 12 :5x X 6 = 6 : 10 : 5

Q 2.

Correct2

Incorrect-0.5

A and B started business by investing Rs.35000 and 20000 respectively. After 5 months B left the business and C joined the business with the sum of Rs.15000. The profit earned at the end of year is Rs.84125. What is the share of B in profit?

Rs.14133

Rs.15000

Rs.13460

Could not be determined

Ratio of equivalent capitals of A, B and C

= (35000 X 12) : (20000 X 5) : (15000 X 7)

=35 X 12 : 20 X 5 : 15 X 7

= 84 : 20 : 21

Let A's share = 84x

B's share = 20x

C's share = 21x

According to the question, 84x + 20x + 21x = 84125

= > 125x = 84125

X = (84125 / 125) = 673

B's share = 20x = 20 X 673 = Rs.13460

Q 3.

Correct2

Incorrect-0.5

A and B invest Rs. 3000 and Rs. 4000, respectively in a business. A received Rs. 10 per month out of the profit as a remuneration for running the business and the rest of the profit is divided in proportion to the investments. If in a year A totally receives Rs. 390, what does B receive?

Rs.630

Rs.360

Rs.480

Rs.380

Let the annual profit be Rs.x

Then, Rs.(x - 120) will be distributed between A and B as their shares of profit.

Ratio of profits = Ratio of investments

So, A : B = 3000 : 4000 = 3 : 4

A's share = 120 + (x - 120) X {tex} \frac{3}{7} {/tex}

= > 120 + (x - 120) X {tex} \frac{3}{7} {/tex} = 390

= > (x - 120) X {tex} \frac{3}{7} {/tex} = 390 - 120 = 270

= > x - 120 = 270 X {tex} \frac{7}{3} {/tex} = 630

B's share = {tex} \frac{4}{7} \times (x - 120) {/tex}

= {tex} \frac{4}{7} \times 630 {/tex} = Rs. 360

Q 4.

Correct2

Incorrect-0.5

Amit and Brijesh started a business with initial investments in the ratio of 12 : 11 and their annual profits were in the ratio of 4 : 1. If Amit invested the money for 11 months, then for what time Brijesh invested the money?

9 months

3 months

5 months

10 months

Let investment of Amit = 12x

And investment of Brijesh = 11x

Let Bijesh invested the money for Y months.

Then

Amit's investment : Brijesh's investment

= (12x X 11) : (11x X y) = 132x : 11xy

= 12 : y

So {tex} \frac{12}{y} = \frac{4}{1} {/tex} [so ratio of profit is 4 : 1]

= > 4y = 12

So y = {tex} \frac{12}{4} {/tex} = 3 months

Hence, Brijesh invested money for 3 months.

Q 5.

Correct2

Incorrect-0.5

A started the business investing RS. 35,000.After 6 month B Joined him with a capital of RS. 60,000. At the end of the year, total profit was RS. 26,000. What Will be the difference between shares of profits of A and B?

RS.1000

RS.2000

RS.2500

RS.3000

A : B => {tex} 35000\times 12 {/tex} : {tex} 60000\times 6 {/tex}

A : B => 7 : 6

{tex} \frac{7-6}{7+6} {/tex}={tex} \frac{?}{26000} {/tex}

? =RS. 2000

Q 6.

Correct2

Incorrect-0.5

Prabeer started a business investing RS.80,000 three month's after he started Sunder joined him With a capital of RS. 60,000. If at the end of the year, the total profit is RS.22,000, then What will be Sunder's share in it?

RS. 16,000

RS.14000

RS. 8000

RS. 7920

Prabeer : Sundar => {tex} 80,000\times 12 {/tex} : {tex} 60,000\times 9{/tex}

Prabeer : Sundar => 16 : 9

{tex} \frac{9}{16+9} {/tex}={tex} \frac{?}{22000} {/tex}

? =RS. 7920

Q 7.

Correct2

Incorrect-0.5

Jeevan started the business investing RS. 50,000 4 month after he started Anil joined him with a capital of RS. 90,000. If at the end of year, total profit in the bussiness was RS. 22,000, then what will be Anil's share in it?

RS.16,000

RS. 15,000

RS. 12,000

RS.10,000

Jeevan : Anil => {tex} 50,000\times 12 {/tex} : {tex} 90,000\times 8 {/tex}

Jeevan : Anil => 5 : 6

Anil's share = {tex} \frac{6}{11} \times 22000 {/tex}

=RS. 12000

Q 8.

Correct2

Incorrect-0.5

Prakash and Prabeer started a business investing RS. 80,000 and RS. 60,000 respectively. After 6 months, Prakash withdraw RS. 40,000. If at the end of the year they have a return of RS. 24,000, their shares of profit will be

RS. 1000, RS. 1400

RS. 12000, RS. 12000

RS.1400, RS. 1000

RS. 8000, RS. 1600

Prakash : Prabeer => 80,000 x 6 + 40,000 x 6 : 60,000 x 12

Prakash : Prabeer => 1:1

Hence partner will get RS. 12000.

Q 9.

Correct2

Incorrect-0.5

A began business with RS. 42,000 and was later joined by B with RS. 72000. When did B join if profits at the end of year was divided equally?

5 months after

7 months after

Can't say

None of these

A: B

42000 x 12 : 72000 x n = 1 : 1

n = 7

Hence B joined after 5 months.

Q 10.

Correct2

Incorrect-0.5

Three partners invest RS. 2000, RS. 2500 and RS. 1100 in a business and earn a profit of RS. 560. Then share of the person who invested RS. 2500 is

RS. 200

RS. 250

RS. 300

RS. 350

2000 : 2500 : 1100

20 : 25 : 11

Required share = 25/56 x 560

= RS. 250

Q 11.

Correct2

Incorrect-0.5

Three partners A, B and C start a business. Twice the Investment of A is equal to thrice the capital of B and capital of B is 4 times the capital of C. The difference of profits of B and C out of a total profit of RS. 2, 97,000 will be

RS. 1,62,000

RS. 1,08,000

RS. 27,000

RS. 81,000

2A = 3B => A : B = 3:2

B = 4C => B : C = 4 : 1

A:B:C = 6:4:1

B - C = 4 - 1 = 3

Also 3/11 = ?/ 2, 97,000

? = RS. 81,000

Q 12.

Correct2

Incorrect-0.5

A, B and C hire a meadow for RS. 4,650. A puts in 10 oxen for 20 days, B puts in 50 oxen for 8 days and C puts in 16 oxen for 9 days. The rent paid by B is

RS. 1,005

RS.1,500

RS. 1,550

RS. 2,500

A : B : C => 10x20 : 50x8 : 16x9

A : B : C => 25 : 50 : 18

Rent paid by B = 50/93 x4650

= RS. 2,500

Q 13.

Correct2

Incorrect-0.5

A began a business with RS. 2100 and is joined afterwards by B with RS. 3,600. After how many month did B join if profit at the end of the year are divided equally?

5

6

7

Can't say

A : B

2,100 x 12 : 3,600 x n = 1:1

7 : n = 1:1

n=7

Hence B joined after 5 months

Q 14.

Correct2

Incorrect-0.5

RS. 700 is divided among A, B and 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. 600

A = 1/2B => A : B = 1 : 2

B = 1/2C => B : C = 1 : 2

A : B : C = 1 : 2 : 4

C's share = 4/7 x 700

= RS. 400

Q 15.

Correct2

Incorrect-0.5

Manoj got RS. 6,000 as his share out of total profit of RS. 9,000 which he and Ramesh earned at the end of 1 year. If Manoj invested RS. 2,000 for 6 month whereas Ramesh invested his amount for the whole year, the amount invested by Ramesh was

RS. 4,000

RS. 3,000

RS. 1,000

RS. 500

Manoj : Ramesh => 2,000 x 6 : x X 12

Manoj : Ramesh => 6000 : 3000 = 2 : 1

{tex} \frac{2000 \times 6}{x \times 12} = \frac{6}{3}{/tex}

=> x= RS. 500

Q 16.

Correct2

Incorrect-0.5

Dilip, Ram and Amar started a shop by investing RS. 27,000, RS. 81,000 and RS. 72,000 respectively. At the end of 1 year, the profit was distributed. If Ram's share of profit be RS. 36,000, then total profit was

RS. 1,16,000

RS. 1,08,000

RS. 80,000

None of these

Dilip : Ram : Amar => 27 : 81 : 72

Dilip : Ram : Amar => 3 : 9 : 8

9/20 = 36,000/?

? =RS. 80,000

Q 17.

Correct2

Incorrect-0.5

In a partnership, A invests 1/6 of the capital for 1/6 of the time. B invests 1/3 of the capital for 1/3 of the time and C rest of the capital for whole time. Out Of a profit Of RS. 4,600, B's share is

RS. 1000

RS. 960

RS. 800

RS. 600

A : B : C => 2x2 : 4x4 : 6x12

A : B : C => 1 : 4 : 18

B's share = 4/23 x 4600

= RS. 800

Q 18.

Correct2

Incorrect-0.5

Four milkmen rented a pasture. A grazed 18 cows for 4 months, B grazed 25 cows for 2 months, C grazed 28 cows for 5 months and D grazed 21 cows for 3 months. If A's share of rent be RS. 360, then total rent of the field is

RS. 1,500

RS. 1,600

RS. 1,625

RS. 1,650

A : B : C : D => 18x4 : 25x2 : 28x5 : 21x3

A : B : C : D => 72 : 50 : 140 : 63

72/325 = 360/?

? = RS. 1625

Q 19.

Correct2

Incorrect-0.5

Three partners A, B and C invest RS. 3,000 RS. 4,000 and RS. 5,000 respectively. A get 15% of the profit as manager's salary and B gets 10% of the profit as Asst. Manager's salary. The remaining part of the profit is distributed among them in the ratio of their investments. If A receives RS. 540, the shares of B and C respectively are

RS. 560, RS. 500

RS.500, RS. 560

RS. 160, RS. 500

none of these

Total profit = x

Salary = 25/100 x = 1/4 x

Profit to be distributed is 3/4 of x in ratio 3 : 4 : 5.

A = 15/100x+ 3/12 X 3/4x

540 = 60x+75x/400

=> x = 1600

>B's share = 160+4/12 X 1200

= RS. 560

and C's share =5/12 X 1200

= RS. 500

Q 20.

Correct2

Incorrect-0.5

Sam invested Rs.7000 in a shop and Gupta joined him after 4 months by investing Rs.3000. After one year if the net profit be Rs.13500, then Gupta's share in the profit is

Rs.3600

Rs.3000

Rs.3800

Rs.3900

Sam's investment for 12 months = {tex} 12 \times 7000 = Rs.84000 {/tex}

Gupta's investment for 8 months = {tex} 8 \times 3000 = Rs.24000 {/tex}

Ratio of share : Ratio of investment = 84000 : 24000 = 84 : 24 = 7 : 2

Total profit = Rs.13500

Gupta's share = {tex} 13500 \times \frac{2}{9} {/tex} = Rs.3000

Q 21.

Correct2

Incorrect-0.5

A and B enter into partnership. A contributes Rs.8000 and B contributes Rs.10,000. At the end of 6 months they introduce C who contributes Rs.6000. After the gap of three years, they find that firm has made a profit of Rs.9660, find the share of each of them.

Rs.4200, 3360, 2100

Rs.3360, 4200, 2100

Rs.2100, 3360, 4200

Rs.2600, 4000, 3060

A's investment for 36 months = {tex} Rs.8000 \times 36 {/tex} = Rs.288000

B's investment for 36 months = {tex} Rs.10000 \times 36 {/tex} = Rs.360000

C's investment for 30 months = {tex} Rs.6000 \times 30 {/tex} = Rs.180000

A : B : C's ratio of shares = 288 : 360 : 180 = 48 : 60 : 30 = 24 : 30 : 15

Total profit = Rs.9660

A's share = {tex} 9600 \times \frac{24}{69} {/tex}

= {tex} 140 \times 24 {/tex} = Rs.3360

B's share = {tex} 9600 \times \frac{30}{24} {/tex}

= {tex} 140 \times 30 {/tex} = Rs.4200

C's share = {tex} 9660 \times \frac{15}{24} {/tex}

= {tex} 140 \times 15 {/tex} = Rs.2100

Q 22.

Correct2

Incorrect-0.5

A' began a small business with a certain amount of money. After four months from the start of the business. 'B' joined the business with an amount which was Rs.6,000 less than 'A's initial investment. 'C' joined the business after seven months from the start of business with an amount which was Rs.2,000 less than A's initial investment. At the end of the year total investment repented was Rs.1,42,000. What will be A's share in the profit. if B received Rs.8,000 as profit share? (in Rupees)

Rs.48,000

Rs.46.500

Rs.46.000

Rs.42,000

Let initial investment of A be Rs. x

Total investment at the end of year = 12x + 8 (x - 6000) + 5 (x - 2000)

= 12x + 8x + 5x - 48000 - 10000

= Rs.(25x - 58000)

25x - 58000 = 142000

=> 25x = 142000 + 58000

= 200000

=> x = 200000/25

= Rs. 8000

Ratio of profit sharing for A, B and C = (12 x 8000) : (8 x 2000) : (5 x 6000)

= 96000 : 16000 : 30000

= 48 : 8 : 15

B's share = Rs.8000

A's share = 48/8 x 8000

Q 23.

Correct2

Incorrect-0.5

A and B started a business with the investments in the ratio of 5:3 respectively. After 6 months from the start ofthe business, C joined them and the respective ratio between the investments of B and C was 2:3. If the annual profit earned by them was Rs.12,300. What was the difference between B's share and C's share in the profit?

Rs.900

Rs.800

Rs.600

Rs.400

A : B = 5:3 = 10 :6

B : C = 2 : 3 = 6 : 9

A : B : C = 10 : 6 : 9

Ratio of the equivalent capitals of A, B and C for 1 month = 10x x 12 : 6x x 12 : 9x x 6

= 20 : 12 : 9

Sum of the terms of ratio

= 20 + 12 + 9 = 41

Difference between the shares of B and C = (12-9/41) x 12300

= Rs. 900

Q 24.

Correct2

Incorrect-0.5

A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested Rs.2000 more and B invested Rs.7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?

Rs.50,000

Rs.25,000

Rs.1,50,000

Rs.75,000

A's initial investment = RS.18x B's initial investment = Rs.7x According to the question,

18x x 4 + (18x + 2000) x 8 / 7x x 4 + (7x + 7000) x 8

= 2/1

=> 18x x 4 + (18x + 2000)x2 /

7x x 4 + (7x + 7000) x 8

= 2/1

=> 18x + 36x + 4000

= 14x + 28x + 28000

=> 54x - 42x = 28000 - 4000

=> 12x = 24000

=> x=24000/12 = 2000

Total initial investment of A and B = 25x

= 25 x 2000

= Rs.50000

Q 25.

Correct2

Incorrect-0.5

Sunetra invested an amount of Rs.50,000 to start a software business. After six months Nikhil joined her with an amount of Rs.80,000. At the end of 3 years they earned a profit of Rs.24,500. What is Sunetra's share in the profit?

Rs.14,000

Rs.9423

Rs.10,250

None of these

The ratio of capital invested by each partner i.e. Sunetra and Nikhil for 1 month in order to get the same profit is :

36 x 50000 : 30 x 80000

= 3 : 4

Share of Sunetra out of

Rs.24500 = Rs.3/7 x 24500

= Rs.10,500

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