    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.$7500$

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B

Rs.$9000$

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C

Rs.$9500$

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D

Rs.$10000$

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Solution

## The correct option is A Rs.$7500$$\text{A}$ and $\text{B}$ done the business for $24$ months and $\text{C}$ join their business after $\text{6}$ months so $\text{C}$ done the business for $18$ months.So $\text{A}$ share is $=20000×24=480000$$\text{B}$ share is $=15000×24=360000$$\text{C}$ share is $=20000×18=360000$Now ratio of $\text{A,B,C}$ share is $=480000:360000:360000$ $=4:3:3$Sum of ratios $=4+3+3=10$Now $\text{B}$ share $=\frac{\text{ratioofB}}{\text{sumofratios}}×\text{profitofB}$$=\frac{3}{10}×25000=7500$Hence $\text{B}$ share is Rs. $7500$ .Therefore option(A) is the correct answer and all other options are incorrect answers .  Suggest Corrections  0      Similar questions  Explore more