Question

A started a business by investing a certain amount of money B joined him after six months by investing Rs 50000 If after one year A and B share the profit in the ratio of 10
how much capital did A invest?

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Answer 1

Step-by-step explanation:

A started business

B joined after 6months investing 50000

50000/10

500000

Answer 2

Concept

Profit in a partnership is divided in the ratio of length of time $\times$ amount of money invested.

Given

$B$ invested $Rs.50000$ for six months. Ratio of profit between $A$ and $B$ is $10:1$

To find

Capital invested by $A$

Solution

Let the capital invested by $A=x$

Capital invested by $A$ for one year$=12x$

Capital invested by $B$ for six months$=6\times50000=Rs.300000$

Ratio of capital invested by $A$ and $B$$=12x:300000$

Therefore,

$12x:300000=10:1$ (As per the concept)

$\dfrac{12x}{300000} =\dfrac{10}{1}\\\Rightarrow 12x=3000000\\\Rightarrow x=250000$

As a result, capital invested by $A$ is $Rs.250000$