Question

Mr. A starts a business with Rs.7000 and after 10 months, Mr. B joins with Mr. A by investing certain amount. At the end of 2 years, if 2:3 is the proportion of the profit then Mr.B's contribution in the capital is:​

Answer 1

Given data in the questions are as follows,

A start a business with Rs. $7000$ for 2 year means 24 months

after  10 month Mr. B joins by investing certain amount ,

let the Mr. B amount be Rs. $x$

we have to find B's contribution in the capital so,

A's starts a business with Rs. $7000$ for $2$ years means $24$ months.

hence, total investment of capital of A is $7000$ multiply by $24$ is equal to $168000.$

B's starts a business with Rs. $x$  after $10 months$ ,means the investment of capital of B , $24$months minus $10$ months is $14$ months ,is equal to $14x$.

if the profit is $2:3$, the investment of capital both also divide into ratio$2:3$.

$\frac{168000}{2} =\frac{14x}{3}$

Dividing $168000$ by $2$,we get

$84000=\frac{14x}{3}$

Dividing $84000 by 14$,we get $6000$

$x= 6000 \times 3$

∴ $x=18000$ but, we have to find Mr B contribution in capital $14 x$

Therefore, $14x=14\times 18000=252000$.