Question

Divide ₹ 1800 is three parts such that three times of the first, five times of the second and six times the third are equal.

Answer 1

Let the 3 parts be x, y and z

Given 3x = 5y = 62

Let 3x = 6z and 5y = 6/5 = z

x = 2z, y = 2

∴ x : y : z = 2z : 6/5z : z= 10:6:5

Sum of the ratios = 10 + 6 + 5 = 21

∴ X = 10/21 X 1800 = 6000/7 = 857.14; Y = 6/21 X 1800 = 3600/7 = 514.29; Z = 5/21 X 1800 = 3000/7