Question : A certain sum is divided between A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is INR 3,510, then the share of D is:
Option 1: INR 4,320
Option 2: INR 3,240
Option 3: INR 6,075
Option 4: INR 4,050
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Correct Answer: INR 6,075
Solution :
Given: A : B = 1 : 3
B : C = 2 : 5
C : D = 2 : 3
Now,
A : B : C = 2 : 6 : 15
A : B : C : D = (2 × 2) : (6 × 2) : (15 × 2) : (3 × 15) = 4 : 12 : 30 : 45
Difference between A and C:
(30 – 4) = 26 units = 3510
⇒ 1 unit = $\frac{3510}{26}$ = 135
Share of D = 45 units = 45 × 135 = 6075
Hence, the correct answer is INR 6075.
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