Exam (elaborations) Math 301

PARTNERSHIP PROBLEMS WITH
SOLUTIONS
Key Concept
Partnership :

When a business is run by two or more persons, it is known as partnership
and the people who are running the business are called partners.We have the
following four cases in partnership

Case 1 :

If all the partners invest equal amount for same time period then the profit
is divided equally among them.

Case 2 :

If all the partners invest equal amount for different time period, then the
profit is divided among them in the ratio of time period.

Case 3 :

If all the partners invest different amount for same time period, then the
profit is divided among them in the ratio of amount invested.

Case 4 :

If all the partners invest different amount for different time period, then
the profit is divided among them in the ratio of the product of investment
and time period for each partner.

Problem 1 :

, A invested 125% as much money as B, C invested 80% as much money as B.
The total of all the three is $61,000. How much did C invest ?

Solution :

Because both A and C are compared to B, let us assume the investment of B
as "x".

Given : A invested 125% as much money as B.

Investment of A = 125% of x = 1.25x

Given : C invested 80% as much money as B.

Investment of C = 180% of x = 0.8x

Given : The total of all the three is $61,000

So, we have

1.25x + x + 0.8x = 61000

3.05x = 61000

Divide both sides by 3.05

x = 61000/3.05

x = 20000

Investment of C is

= 0.8x

= 0.8 ⋅ 20000