In an exhibition, 40% of the collection is from the sale of champaign bottles and rest is from the sale of wine bottles. Had 30 more wine bottles been sold, their contribution would have been 80%. If the number of wine bottles sold is thrice the number of champaign bottles sold, find the total number of champaign bottles sold.
Explanation:
Let the number of champaign bottles sold be x, and wine bottles sold is 3x.
Let the price of each bottle of champaign be 'c' and that of each wine bottle be 'w'.
Total collection from the sales of champaign and wine bottles = (cx + 3wx)
40% of the collection is from sale of champaigns (given). ∴ 40100 × (cx + 3wx) = cx. ⇒ 2cx + 6wx = 5cx
⇒ c = 2w
Now, had 30 more wine bottles been sold, their contribution would have been 80%.
∴ (3x + 30)w = 80100 × [(3x + 30)w + cx]
⇒ 15wx + 150w = 12wx + 120w + 4cx
⇒ 3wx + 30w = 4cx
⇒ 3wx + 30w = 8wx [∵ c = 2w]
⇒ 3x + 30 = 8x
⇒ x = 6.
Hence, option (c).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.