Question

$\text{A}$ and $\text{B}$ started a business in partnership investing Rs. $20000$ and Rs. $15000$ respectively . After six months, $\text{C}$ joined them with Rs. $20000$ . What will be $\text{B}$ share in the total profit of Rs. $25000$ earned at the end of $2$ years from the starting of the business ?

• A. Rs.$7500$
• B. Rs.$9000$
• C. Rs.$9500$
• D. Rs.$10000$

Answer 1

The correct option is A

Rs.$7500$

$\text{A}$ and $\text{B}$ done the business for $24$ months and $\text{C}$ join their business after $\text{6}$ months so $\text{C}$ done the business for $18$ months.

So $\text{A}$ share is $=20000\times 24=480000$

$\text{B}$ share is $=15000\times 24=360000$

$\text{C}$ share is $=20000\times 18=360000$

Now ratio of $\text{A,B,C}$ share is $=480000:360000:360000$

$=4:3:3$

Sum of ratios $=4+3+3=10$

Now $\text{B}$ share $=\frac{\text{ratio of B}}{\text{sum of ratios}}\times \text{profit of B}$$=\frac{3}{10}\times 25000=7500$

Hence $\text{B}$ share is Rs. $7500$ .

Therefore option(A) is the correct answer and all other options are incorrect answers .