A sum of money is divided among A, B, C and D in the ratio of 3 : 7 : 9 : 13 respectively. If the share of B is Rs. 4,872, then what is the total amount of money of A and C together ?
1). Rs. 8,352
2). Rs. 6,998
3). Rs. 9,784
4). Rs. 7,456
Let the total amount to be divided = $32x$
A : B : C : D = 3 : 7 : 9 : 13
=> Share of B = $\frac{7}{32} * 32x = 4872$
=> $x = \frac{4872}{7} = 696$
Now, total amount of money with A & C together
= $\frac{3 + 9}{32} * 32x$
= $12 * 696 = $Rs. $8,352$
Let the total amount to be divided = $32x$
A : B : C : D = 3 : 7 : 9 : 13
=> Share of B = $\frac{7}{32} * 32x = 4872$
=> $x = \frac{4872}{7} = 696$
Now, total amount of money with A & C together
= $\frac{3 + 9}{32} * 32x$
= $12 * 696 = $Rs. $8,352$