Rs. 3900 is divided into three parts A, B, C. How much A is more than C if their Ratio is \(\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\)

⇒ Ratio = 1/2 : 1/3 : 1/4

Multiplying the ratios by LCM of (2, 3, 4) = 12

⇒ Ratio = 6 : 4 : 3

Let the Ratio Factor be x

⇒ A = 6x, B = 4x, C = 3x

⇒ 6x + 4x + 3x = 3900

⇒ 13x = 3900

⇒ x = 300

⇒ A = 6x = 1800

⇒ B = 4x = 1200

⇒ C = 3x = 900

⇒ A - C = 1800 - 900 = 900