A sports-good shop has tennis balls of 3 colors - red - green and white. The number of white balls is 60% more than number of red balls and the number of green balls is 12.5% less than number of white balls. If total number of balls is 120, then how many green balls are there?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 42.
Here it is given that, The number of white balls is 60% more than the number of red balls
The ratio of the number of white balls to the number of red balls = 160 : 100 = 8 : 5
The number of green balls is 12.5% less than the number of white balls
The ratio of the number of green balls to the white balls = 87.5 : 100 = 7 : 8
Here the number of white balls is common in both the ratio so to combine both ratios, the number of white balls must be equal
The ratio of the number of white balls, green balls, and red balls = 8 : 7 : 5
⇒ 8x + 7x + 5x = 120
⇒ 20x = 120
⇒ x = 6
Number of green balls = 7x = 7 × 6 = 42 balls