A certain sum is divided among A,B ,C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45 . If the difference between the shares of A and D is Rs5.535, then the total sum ( in Rs ) is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12285
The ratio among A, B, C, and D is 4 : 12 : 30 : 45 respectively.
The difference between the shares of A and D is Rs. 5535.
Let the common ratio be x.
The share of A = Rs. 4x
The share of B = Rs. 12x
The share of C = Rs. 30x
The share of D = Rs. 45x
Total sum = (45 + 30 + 12 + 4)x = Rs. 91x
According to the question -
45x - 4x = 5535
41x = 5535
x = 135
91x = 12285
The total sum = Rs. 12285