In a business a and c invested amounts in the ratio 2:1, whereas the ratio between amounts invested by a and b was 3:2. If rs.261300 was their profit how much amount did b receive?
Answers
Answer:
Hence,
Profit earned by:
a=Rs. 120600.
b=Rs. 80400
c=Rs. 60300.
Step-by-step explanation:
We are given that:
In a business a and c invested amounts in the ratio 2:1.
Also a and b invested in the ratio:
a:b=3:2.
Now this ration could be represented as:
a:c=2:1
a:c=6:3-----(1) (multiply the quantity by 3).
Also a:b=3:2.
a:b=6:4----------(2)( Multiply the ratio in the numerator and denominator by 2).
Hence, from (1) and (2) we have;
a:b:c=6:4:3
Now let the investment made by a=6x
by b=4x
and by c=3x.
The profit obtained by them is= Rs. 261300
i.e. 6x+4x+3x=261300
13x=261300
x=20100.
The investment made by them is proportional to the profit earned by them.
Hence Profit earned by a=6x=6×20100=120600.
Profit earned by b=4x=4×20100=80400
Profit earned by C=3x=20100×3=60300.
Hence,
Profit earned by:
a=Rs. 120600.
b=Rs. 80400
c=Rs. 60300.