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Q: A sum of x is divided among A, B and C such that the ratio of the shares of A and C is 8 : 7 and that of B and C is 3 : 2. If the difference between the shares of A and B is `240, then what is the value of x?
  • A. 2490
  • B. 2580
  • C. 2448
  • D. 2544
Correct Answer: Option C - A : C → (8 : 7)×2 = 16 : 14 B : C → (3 : 2)×7 = 21 : 14 So, A : B : C = 16 : 21 : 14 (A+B+C = 51 units) According to the question, A ~ B = 240 5 units = 240 1 unit = 48 51 units = 48×51 = 2448 Hence, The value of x = 2448
C. A : C → (8 : 7)×2 = 16 : 14 B : C → (3 : 2)×7 = 21 : 14 So, A : B : C = 16 : 21 : 14 (A+B+C = 51 units) According to the question, A ~ B = 240 5 units = 240 1 unit = 48 51 units = 48×51 = 2448 Hence, The value of x = 2448

Explanations:

A : C → (8 : 7)×2 = 16 : 14 B : C → (3 : 2)×7 = 21 : 14 So, A : B : C = 16 : 21 : 14 (A+B+C = 51 units) According to the question, A ~ B = 240 5 units = 240 1 unit = 48 51 units = 48×51 = 2448 Hence, The value of x = 2448