Partnerships in Business

Three men A, B and C subscribe $₹4,700$ for a business. A subscribes $₹700$ more than B and B subscribe $₹300$ more than C. How much will each receive out of the profit of $₹846$?

P, Q, and R complete a work, if the ratio of their wages is $5:4:4$. P works for $4$ days, Q works for $4$ days and R works for$8$ days.if they got $₹3400$ then find out the difference between P and Q wages?

Heena and Yumi started a business with capitals $\mathrm{Rs}.25000$ and $\mathrm{Rs}.35000$. After few months Sadas joined them with a capital of $\mathrm{Rs}.30000$. If the share of Sadas in the annual profit of $\mathrm{Rs}.60000$ is $\mathrm{Rs}.15000$, then after how many months from beginning side the join?

Rinku and Raju started a business by investing $\mathrm{Rs}.4000$ and $\mathrm{Rs}.4800$respectively. After 8 months Rinku added $\mathrm{Rs}.500$ and Raju added $\mathrm{Rs}.300$. At the same time, Roni joined them with $\mathrm{Rs}.4600$. Find the share of Roni and Ratio of share to Raju is they get a profit of $\mathrm{Rs}.34662$ after a year.

Amit, Bhoomi, and Chirag started a business with an investment of $Rs. 5,400, Rs.4,500,$ and $Rs. 2,700$ respectively. After $6$ months from the start of the business, Chirag invested $Rs.2,000$ more. After $8$ months of the start of the business, Amit and Bhoomi invested additional amounts in the respective ratio of $2:3$. If at the end of the year they received a profit of $Rs.3,200$ and Chirag's share in the profit was $Rs.800$, then what was the difference between the additional amounts that Amit and Bhoomi invested?

Ashoka, Bindusara, and Chandragupta jointly start a trading venture. Ashoka invested $Rs. 65,000$ for $12$ months, Bindusara invested $Rs. 84,000$ for $10$months and Chandragupta invested $Rs. 100,000$ for $6$ months. Ashoka is the manager in the trading company and hence he gets $20\%$ of the profits as his fees. The profit earned was $Rs. 74,000$. Calculate the difference in the shares of Chandragupta and Bindusara in the profit. 

A person P started a business with a capital of Rs. 2525 and another person Q joined P after some months with a capital of Rs. 1200. Out of the total annual profit of Rs. 1644, P’s share was Rs. 1212. When did Q join as partners ?

Anju, Binisha and Sujata enter into a partnership with Rs 4000, Rs 6000 and Rs 8000 respectively. After 4 months Anju withdrew 25% and after 6 months Binisha add  \( 16\tfrac{2}{3}\% \)  and after 8 months Sujata withdrew 25%, find the profit earned by Anju if they get a total profit of Rs 7500 after 1 year.

Read the following information carefully and answer the question given below-
Abhinav, Mahesh and Surendra had some money with which they decided to buy the shares of two banks – SBI and PNB. The amount with Mahesh was 1/3rd of the total money available with the three of them. Abhinav and Mahesh spent equal amounts of money in buying SBI shares. The amount spent by Mahesh on buying PNB shares was twice that of Surendra. The amount spent by Abhinav on buying PNB shares was 50% more than the amount spent on PNB shares by Mahesh and Surendra together. The amount spent by Surendra on SBI shares was 1/9th of the total initial money with the three of them. The amount spent on PNB shares by the three of them together was 1/3rd of the total initial money with them. Mahesh and Surendra had equal amounts of money left with them after making the purchases. The amount spent by Surendra in buying PNB shares was equal to the amount left with Mahesh after making the purchases. The money left with Abhinav after making the purchases was 1/15th of the total initial money with the three of them. The amount spent on PNB shares by Mahesh and Surendra together was Rs. 2,00,000 more than the money that was left with the two of them after making the purchases.

What was the money available with Abhinav in the beginning?

Pankaj started a business with an investment of 42,000. After 4 months, Nitin joined him with a capital of 57,000. The total profit at the end of the year was 26,000. What was the difference in profit share between Pankaj and Nitin?

$\mathrm{P}$ invests $30\%$ of the amount invested by $\mathrm{Q}$. $\mathrm{Q}$ withdraws the whole amount from the business after $6$ months. $\mathrm{R}$ joins the business with the investment of $₹\mathrm{x}$ in a month after $\mathrm{Q}$ had withdrawn from the business. At the end of the year, $\mathrm{P}$ and $\mathrm{R}$ share the same amount of profit. If the investment of $\mathrm{Q}$ is $₹1200$ then which of the following may be the investment of the $\mathrm{R}$?

(i) $₹720$

(ii) $₹1080$

(iii) $₹2160$

(iv) $₹2700$

(v) $₹3200$

Three people A, B and C started a business. The ratio of capital investment of A and B was 2:3 and B and C was 4:5. A took his amount after 6 months, B took his amount after 9 months and C took his amount after 12 months. If after one year the profit was Rs. 8400. What was the share of A in the profit?

X and Y entered into partnership with $Rs.700$ and $Rs.600$ respectively. After $3$ months, X withdrew two-sevenths of his stock but after $3$ months, he puts back three-fifths of what he had withdrawn. The profit at the end of the year is $Rs.4356$. How much of this should X receive?

Bhavya and Vikas enter into a partnership with investment 3 : 8 and ratio of time period of investment of Vikas and Bhavya is 3 : 4 respectively. Find total profit obtained by both if Vikas got Rs. 750 more than Bhavya as profit.

Kiran started a business by investing $\mathrm{Rs}. 46000$ . After $5$  months, Divya joined her with a capital of $\mathrm{RS}. 59000$ . At the end of the year, the total profit was$\mathrm{Rs}. 27020$ . What is the Divya’s share of the profit?

A invested 50% of the amount invested by B and C together. A and B together invested Rs 44000. C invested Rs 8000 less than B. A, B and C invested their amount for 6 months, 8 months and 12 months respectively. If B and C share the profit equal amount, then which of the following may be the investment of the A. 

(i) 18000

(ii) 20000

(iii) 25000

(iv)30000

(iv) 36000

Mamta and Ritika started a business together by investing Rs. 8000 and Rs. 12000 respectively. Mamta got 25% of the total profit for managing the business while rest profit is divided between Mamta and Ritika according to their investments. Find the total profit both get if Mamta got Rs.1500 more than Ritika

Two persons A and B started a business by investing $\mathrm{Rs}.4000$ and $\mathrm{Rs}.7500$ respectively. After $3$ years from the start, person B left the business and a new person C joins the business with initial capital of $\mathrm{Rs}.3750$, then out of total profit of Rs.40600 from the business after $5$ years what is the difference between the profit share of A and C?

Aman, Biman and Chaman started a business together investing Rs 14000, Rs 18000 and Rs 21000 respectively. After 3 months Aman invested Rs 6000, next after 3 months Biman invested Rs 7000 and next after 3 months Chaman invested Rs 4000. If at the end of the year total profit earned was Rs 14880, then the share of Aman in the profit was:

Pankaj start a business with $Rs. 20000$, Jai joins him after $2$ month with $40\%$ more investment than Pankaj, after $2$ months Rohit joins him with $60\%$ less than Jai. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Pankaj and ten times the investment of Rohit, profit of Jai will be: