Question 63

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 ₹5,535, then the total sum (in ₹) is:

Solution

Ratio of shares of A, B, C and D is 4 : 12 : 30 : 45 respectively.

Let the shares of A, B, C and D are 4p, 12p, 30p and 45p respectively.

The difference between the shares of A and D is ₹5,535.

45p - 4p = 5535

41p = 5535

p = 135

Total sum = 4p + 12p + 30p + 45p

= 91p

= 91 x 135

= ₹12285

Hence, the correct answer is Option C

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