Question
Download Solution PDFA bartender makes a mixture of 18 litres of wine and soda, it contains 30% soda. How much soda should be added to it to increase the percentage of soda to 40%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Quantity of mixture is 18 litres
Percentage of soda is 30%
Percentage of wine is 70%
Calculation:
Quantity of soda = 30% of 18 = 5.4 litres
Quantity of wine = 70% of 18 = 12.6 litres
Let the quantity of soda added be x
Total quantity = 18 + x
According to the question
(5.4 + x)/(18 + x) = 40/100
⇒ (5.4 + x)/(18 + x) = 2/5
⇒ 27 + 5x = 36 + 2x
⇒ x = 3 litres
∴ The required quantity of soda is 3 litres.
Shortcut Trick
Ratio = 6 : 1
⇒ 6 = 18 litres
⇒ 1 = 3 litres
∴ The required quantity of soda is 3 litres.
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