Question

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 4478
​

Answer 1

Answer:

2257.0

Step-by-step explanation:

Given A= 999

A:B=9:5 ==> A/B = 9/5 ==> 999/B = 9/5

                                            B= 555

C's share = 70% of B's share

                = (70/100) * 555

                = 388.5

D:(B+C) = 1:3 ==> D:(943.5) = 1:3

                           D/943.5 = 1/3

                           D=314.5

Now add all values together A+B+C+D =x

                                               999+555+388.5+314.5=x

                                               x=2257.0

Answer 2

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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