Divide Rs 760 among A,B,C such that A gets 5/6 of what B gets and the ratio between the shares of B & C is 3:4 .
[Hint:Let B's share be Rs 3x and C's share be Rs 4x.
Then,A's share=Rs(5/6×3x)
=Rs 5x/2
therefore A:B:C=5x/2:3x:4x
=5:6:8]
Answers
Answer:
The division would be A=200; B=240 and C=320
Step-by-step explanation:
Let a, b and c be the amounts that are to be divided between A, B and C, respectively.
Thus: a + b + c = 760 ........(Eqn 1)
We are given that
A gets 5/6 of what B gets
=> a = (5/6)*b
=> 6a = 5b...............(Eqn 2)
Also, ratio between shares of B and C is 3:4
=> b/c = 3/4
=> 4b = 3c............(Eqn 3)
We now need to express "a" in terms of "c". Multiply (Eqn 2) by 4 and (Eqn 3) by 5. This is done to get the same coefficient for "b" in both the equations.
24a = 20b and
20b = 15c
From the above two equations, we get:
24a = 15c
=> a = (15/24)*c
=> a = (5/8)*c .........(Eqn 4)
From (Eqn 3), we get:
b = (3/4)*c ..........(Eqn 5)
Using Eqn 4 and Eqn 5, in Eqn 1, we get:
(5/8)*c + (3/4)*c + c = 760
5c/8 + 3c/4 + c = 760
Taking 8 as the common denominator, we get:
(5c + 6c + 8c)/8 = 760
19c = 8*760
c = (8*760)/19
c = 320
Using (Eqn 4) and (Eqn 5), we get:
a = (5/8)*320 = 200
b = (3/4)*320 = 240
Verify:
a = 200; b = 240 ; c 320
200 = (5/6)*240 = 200
Ratio of b and c is 240:320 = 3:4
Sum of a, b and c = 200+240+320 = 760
Answer:
A =200 B= 270 C=320
Step-by-step explanation:
given amount= 760
a+b+c=760
c share will be =4×
b share will be=3×
a share will be=[(5/6×3)=5/2]=2.5
Ratio=a:b:c= 2.5:3:4
sum of ratio =9.5
So,
760/9.5=80
A share=(2.5/9.5 ×760)=200
b share=(3/9.5×760)=270
c share=(4/9.5×760)=320