Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘

1.	Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘A’ and C receives \(\frac{5^{th}}{6}\) of what B receives.
Answer» Let A receive Rs.x and B receives Rs. 3x and C receive \(\frac{5}{6}\)(3x) = \(\frac{5}{2}\)x ∴ A:B:C= 1:3:\(\frac{5}{2}\) = 2:6:5 ∴ A’s share = \(\frac{2}{13}\) × 5880 = 904.6 B’s share = \(\frac{6}{13}\) x 5880 = 2713.8 C’s share = \(\frac{5}{13}\) x 5880 = 2261.5

Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘A’ and C receives \(\frac{5^{th}}{6}\) of what B receives.

Answer»

Let A receive Rs.x and B receives Rs. 3x and C receive \(\frac{5}{6}\)(3x) = \(\frac{5}{2}\)x

∴ A:B:C= 1:3:\(\frac{5}{2}\) = 2:6:5

∴ A’s share = \(\frac{2}{13}\) × 5880 = 904.6

B’s share = \(\frac{6}{13}\) x 5880 = 2713.8

C’s share = \(\frac{5}{13}\) x 5880 = 2261.5