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  • Directions for question : At the Happily Tipsy Bar, the chief bar-tender, after a lot of experimentation found out t

Directions for question :

At the Happily Tipsy Bar, the chief bar-tender, after a lot of experimentation found out that Vodka, White Rum, Gin and Tequila if mixed in different concentrations can create four very exciting cocktails which he named as the Teqnical, the Hard Haddock, the Fiery Ginie and the Russian Heat. The respective percentage alcohol concentrations of the cocktails are provided in the chart below. 

He priced them at Rs 160, Rs 400, Rs 320 and Rs 240 per single peg respectively. On specific orders from customers, he was ready to mix two or more drinks in the ratio as fancied by the customer.

Alcohol Vodka White Rum Gin Tequila
Cocktail
TEQNICAL 18 32 8 42
HARD HADDOCK 8 42 32 18
FIERY GINIE 9 27 37 27
RUSSIAN HEAT 42 13 37 8

Question :

If the most economical drink which contains 25% of Gin is to be prepared at the Happily Tipsy Bar, then what will be the concentration of White Rum (in percentage, rounded to the nearest integral value) in a peg of that drink ?

Option: 1

20


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

For the most economical drink which contains 25% of Gin to be prepared, a mix of Teqnical and Russian Heat is the first choice considering their economy, and as both have concentrations of Gin less than and exceeding 25% respectively. 

Using alligation,

We find that the ratio of Russian Heat and Teqnical must be 17 : 12 to have 25% content of Gin.

Hence concentration of White rum in the drink :

(x-13)/(32-x) = 12/17

or, 17x – 221 = 384 – 12x

or, 30x = 605

or, x = 20.17%

Hence, if the most economical drink which contains 25% of Gin is to be prepared at the Happily Tipsy Bar, the concentration of White Rum (rounded to the nearest integral value) in that drink is 20%

Posted by

Gaurav

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