# math

Assume x and y have 5:3 profit sharing ratio respectivly and a new member enters by taking 1/5 from x and 1/3 from y.what will be the new ratio of the three people?

1. 0
2. 0
3. 13
1. The original proportion: x : y = 5:3 ---> x/y = 5/3 ---> x = 5y/3
after change:
first member : (4/5)x or 4x/5
2nd member: (2/3)y or 2y/3
new member: (1/5)x + (1/3)y or x/5 + y/3
new ratio : 4x/5 : 2y/3 : (x/5 + y/3)
= 4(5y/3)/5 : 2y/3 : (5y/3)/5 + y/3)
= 4y/3 : 2y/3 : 2y/3
= 4 : 2 : 2
= 2 : 1 : 1

check: suppose the original investments were \$600 and \$360
(notice 600:360 = 5:3)
first member left with 480
2nd member left with 240
new member has 120+120 = 240
ratio = 480 : 240 : 240 = 2:1:1

1. 0
2. 0
posted by Reiny
2. how do we get the 4x/5 and 2y/3

1. 0
2. 0
posted by ruth
3. First member started with x
you took 1/5 away, leaving him with 4/5
(4/5)x = 4x/5

same steps for 2y/3

1. 0
2. 0
posted by Reiny

## Similar Questions

1. ### accounting ..urgent pls

can you help please.. PROB 1: A, B and C shared the profit of Rs. 9,00,000 in the ratio of 2:2:1 without providing for interest on B’s loan, B granted a loan of Rs. 4,00,000 in the beginning of accounting year. Where as the

asked by jessie on June 1, 2011
2. ### Busines Math

Pls heLp me..you decided to join the partnership of August and April . August has a capital of 50 pesos , while April puts up a capital of 75 pesos . the three of you decided that your profit and loss ratio would be 1:2:3 for

asked by Kenneth on January 7, 2018

You decided to join the partnership of august and april. August has a capital of 50,000 while april puts up a capital of 75,000. The three of you decided that your profit and loss ratio would be 1:2:3 for august,april and

asked by TRIS on December 1, 2016

can you help me please for this solving problem below... problem: A, B and C shared the profit of Rs. 9,00,000 in the ratio of 2:2:1 without providing for interest on B’s loan, B granted a loan of Rs. 4,00,000 in the beginning

asked by jessie on May 30, 2011
5. ### economics

Thank you so much economyst but i do'nt understand the ans for part (b) The demand function for a well known economics textbook is: P = 100 - .005Q The publisher must pay \$20 per book in printing and distribution costs and, in

asked by tinky on October 14, 2006
6. ### economics

1. Assume there are three markets: A: Wool; B: Synthetic Fiber; C: Business Travel. Assume we are in the years after the introduction of synthetic fibers. Using demand and supply analysis explain what happens in the SHORT RUN in

asked by mike Gee on July 26, 2010
7. ### Finance

Given the following information: profit margin = 10%; sales = \$100; retention ratio = 40%; assets = \$200; equity multiplier = 2.0. If the firm maintains a constant debt-equity ratio and no new equity is used, what is the maximum

asked by David on June 17, 2009
8. ### Economics

The demand function for a well known economics textbook is: P = 100 - .005Q The publisher must pay \$20 per book in printing and distribution costs and, in addition, it must pay the author a \$20 royalty for each book sold. (a) Your

asked by Daniel B on October 13, 2006
9. ### Finance help

Assume Williams inc has: Debt ratio= 40% Net profit margin= 10% Return on assets = 25% Find williams Total Asste Turnover Ratio

asked by Lance on September 24, 2009
10. ### Financing and Budget

This financial ratio measures the business's liquidity: A. profit margin. B. average daily rate ratio. C. current ratio. D. days receivable ratio. C.

asked by Amanda on November 19, 2014

More Similar Questions