Question

A started a business with rupees 52000, and after 4 months B joined him with rupees 39000. At the end of the year, out of the total profit B received total 20000 including 25% of the profit as commission for managing the business. What amount did A receive?​

Answer 1

||✪✪ GIVEN ✪✪||

• A started a business with rupees 52000.
• after 4 months B joined him with rupees 39000 .
• After end of The year , received total 20000 including 25% of the profit .

|| ✰✰ ANSWER ✰✰ ||

With Given data we can say That, A joined for 12 months, and since B came after 4 months he joined for 8 months.

we know That, Profit is distributed in ratio of Their money and Time.

So,

→ A : B = (52000*12) : (39000*8)

→ A: B = (52*12) : (39*8)

→ A : B = (4*3) : (3*2)

→ A : B = 2 : 1

Hence, Ratio of Their Profit is 2 : 1.

______________________________

Now, we have Given That, B recieve Total Rs.20000 as Profit in which 25% was his commission for managing the business.

So, we can say That,

→ value of 125% Is = 20000

→ Value of 100% is = (20000*100)/125 = Rs.16000.

Hence, we can say That, actual Profit of B without commission was Rs.16000.

_______________________________________

Now, As Solved Above we have Ratio of Profit of A & B is 2:1. And, now we also have Profit of B.

So,

→ 1 ------------- 16000.

→ 2 ------------ Rs.32000.

Hence, we can say That, A Received Rs.32000 as Profit.

Answer 2

QUESTION :-

A started a business with rupees 52000, and after 4 months B joined him with rupees 39000. At the end of the year, out of the total profit B received total 20000 including 25% of the profit as commission for managing the business. What amount did A receive?

SOLUTION :-

=>(Given) We can say that, A joined for 12months, therefore B came after 4months he joined for 8months.

=>So, First we have to find their profit ratio.

=> A:B = (52000×12):(39000×8)

=> A:B = (624000) : (312000)

=> A:B = (624):(312)

=> A:B = 2:1

_________________

=>Now, we have to given that ,the total profit B received total 20000 including 25% of the profit as commission for managing the business.

=> Since, Value of 125% is = 20000

=> .°. Value of 100% is = (20000×100)/125= Rs.16000

__________________

Now,

=> So, we have ratio of profit of A & B is 2:1.

=> since,

=> 1 -------->1×16000---------> Rs.16000

=> 2 -------> 2 ×16000 ------> Rs. 32000

___________________

Therefore, "A" received Rs.32000 as profit.