A sum of x is divided between A,B,C and D such that the ratio of shares of A and B is 9:5, C's share
is 70% of B's share and the ratio of the share of D to the combined share of B and C is 1:3. If the share
of A is INR 999, the value of x is
O 2257
3137
4514
04478
2239
Answers
Answer:
I guess the answer is 2257
Step-by-step explanation:
A=999;
A:B=9:5;
B=999*5/9;
B=555;
C=0.7*B=0.7*555=388.5;
D:(B+C)=1:3
B+C=555+388.5=943.5;
D=943.5/3=314.5;
X=A+B+C+D;
X=999+555+388.5+314.5
X=2257.
Given : sum of x is divided between A, B, C and D such that the ratio of shares of A and B is 9:5, C's share
is 70% of B's share and the ratio of the share of D to the combined share of B and C is 1:3
share of A is INR 999
To Find : value of x
Solution:
ratio of shares of A and B is 9:5
A = 9k
B = 5k
C's share is 70% of B's share = (70/100)5k = 3.5k
ratio of the share of D to the combined share of B and C is 1:3.
D share /( 5k + 3.5k) = 1/3
=> D share = 8.5k/3
share of A is INR 999 => 9k = 999
=> k = 111
A = 9k = 999
B = 5k = 555
C = 3.5k = 388.5
D = 8.5k/3 = 314.5
Total = 2257
Value of x is 2257
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