A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket
A. 1 : 1 : 1 B. 4 : 2 : 1 C. 5 : 1 : 1 D. 4 : 1 : 1
Correct Answer: D
Explanation
Let x represent total number of balls in the basket. If there are 10 blue balls, \(\frac{1}{8}\) of x = 10 x = 10 x 8 = 80 balls Green balls will be \(\frac{5}{8}\) x 80 = 50 and black balls = \(\frac{2}{8}\) x 80 = 20 Ratio = Green : black : blue 50 : 20 : 10 -10 : -10 : - ------------------ New Ratio 40 : 10 : 10 4 : 1 : 1
