- Out of the total investment, A invested 1/4th, B invested 1/3rd of the remaining and C the remaining. B earned Rs 10,000 after a year. Find the yearly profit of all.

A. Rs. 40,000

B. Rs. 45,000

C. Rs. 49,600

D. Rs. 48,500 - A and B invested Rs 20,000 and Rs 25,000 in a business for 1 year and 8 months respectively. A being a working partner earned 25/3% profit out of a total profit of Rs 60,000 and after this the profit was divided in the ratio of their investments. What is the share of B in the annual profit?

A. Rs. 24,000

B. Rs. 25,000

C. Rs. 26,200

D. Rs. 27,800 - Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?

A. Rs. 6,000

B. Rs. 8,500

C. Rs. 9,500

D. Rs. 10,000 - A, B and C received their profit shares in the raio 4 : 6 : 9 respectively. A and B received a total of Rs 60,000. What is the amount that C and A got together?

A. Rs. 54,000

B. Rs. 66,000

C. Rs. 72,000

D. Rs. 78,000 - A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 500 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of A in the total profits?

A. Rs. 7,000

B. Rs. 9,500

C. Rs. 10,800

D. Rs. 11,000 - A, B and C invested Rs 1000 for 8 months, Rs 1200 for 6 months and Rs 1500 for some months. Out of a total profit of Rs 5,675 as profit, A received Rs 2000. For how much months did C invested?

A. 4 months

B. 5 months

C. 6 months

D. 7 months - P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q. At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months?

A. 7 months

B. 8 months

C. 9 months

D. 10 months - A, B, C start a business. A contributes 1/5 of total capital invested in business. B contributes as much as A and C together. Total profit at the end of the year was Rs.7200.What was B’s Share in the profit?

A. Rs.2,400

B. Rs.2,700

C. Rs.3,600

D. Rs.4,200 - Prabu, Hari and Riya started a business in partnership by investing Rs.38500, Rs.49500 and X respectively. At the end of the year they earned a total profit of Rs.101500 and Riya’s share in the profit is 45500 find X?

A. Rs.40,000

B. Rs.50,200

C. Rs.71,500

D. Rs.75,000 - A Company makes a profit of Rs.7,60,000, 20% of which is paid as taxes. If the rest is divided among the partners X, Y and Z in the ratio 5:3:4 then the share of X is:

A. Rs.1,20,000

B. Rs.1,40,000

C. Rs.1,52,000

D. Rs.2,00,000

Let total investment = Rs x

Then A’s = (1/4)*x

Remaining = 3/4th of x

So, B’s investment = (1/3)*(3x/4) = x/4

And C’s = x – (x/4 + x/4) = x/2

So, ratio of profits = x/4 : x/4 : x/2 = 1 : 1 : 2

So, 1/4 * x = 10,000

x = 40,000

A’s share : B’s share

20,000*12 : 25,000*8

=>6:5

A got its salary as = [(25/3)/100] * 60,000 = 5000

Remaining profit = 60,000 – 5000 = 55,000

So, B gets = 5/11 * 55000

Profits ratio = 8000*6 : x*5 = 9600 : x

So, [x/(9600+x)] * 19,600 = 10,000

Solve, x = 10,000

Their shares are 4x, 6x, 9x resp.

4x + 6x = 60,000

x = 6,000

So, C got 9*6000 = 54,000 and A got 4*6000 = 24000

So, total = 78,000

After a year C gets salary = 500*6 = Rs 3,000 [Since C was for 6 months in the business with each month earning 500]

So, 10% of total profit after a year = 3,000

Total profit = Rs 30,000

A invested for 12 months, B for 12, and C for 6 months

Ratio of profit shares = 4*12 : 3*12 : 6*6 = 4 : 3 : 3

Profit left after deducting salary of C = 30,000 – 3,000 = 27,000

So, share of A = [4/(4+3+3)] * 27,000

1000*8 : 1200*6 : 1500*x

80 : 72 : 15x

So, 80/(80+72+15x) * 5675 = 2000

Solve, x = 5 months

500*12 : 600*x : 540*x+2

500*12 : 600*8 : 540*10

6000:4800:5400 = 60:48:54 = 10:6:9

Q = 2000*6/25 = 480

A = x/5

Remaining = 4x/5 = B+C

B = x/2 ,C = 4x/5 –x/2 =3x/10

x/5 : x/2 : 3x/10 = 2:5:3

P = 7200*5/10 = 3600

We need to calculate the accumulation of these profits for one year which is 12 months.

Prabhu's investment = 12 × 38500 = 462000

Hari's investment = 12 × 49500 = 594000

Riya's investment = 12 × x = 12x

We can obtain the ratios as follows:

462000 : 594000 : 12x

Let the fraction of Riya's profit be y then we can get the fraction as follows:

y × 101500 = 45500

y = 45500/101500

y = 13/29

The ratio of Prabu's to Hari's contribution is:

462000/59400 = 7 : 9

7 : 9 : y = 7 : 9 : 13

=>13/7 × 38500 = 71500

Thus, Riya's contribution is Rs. 71,500/-

20% = 760000*20/100 = 152000

Remaining = Rs.6,08,000

X = 6,08,000*3/12 = 1,52,000

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