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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 a drink which contains at least 20% of each of Vodka, White Rum, Gin and Tequila is to be prepared, what would be the minimum price per peg (rounded to the nearest rupee) of it at the Happily Tipsy Bar ?

Option: 1

193


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Minimum price is a criterion. 

So Teqnical will be the first choice. 

It also has White Rum and Tequila at least 20% each. 

Only shortfall is Vodka at 18% and Gin at 8%. 

The highest Vodka content is by Russian Heat at 42%.

All other cocktails have Vodka less than 20%, and hence if combined with Teqnical would give Vodka content less than 20%.

The highest Gin content is by Fiery Ginie and Russian Heat at 37%. 

But Fiery Ginie costs more than Russian Heat. So here too, the choice left is Russian Heat.

So we will mix Teqnical with Russian Heat to get the desired effect of the least expensive drink with at least 20% of each of Vodka, White Rum, Gin and Tequila.

Now regarding the individual percentages in Teqnical with Russian Heat, we observe that it is as below, with the target being to achieve at least 20% by using minimum quantity of Russian Heat :

Alcohol Vodka White Rum Gin Tequila
Cocktail
TEQNICAL 18 32 8 42
RUSSIAN HEAT 42 13 37 8

Since the largest difference in the percentages is in Gin, if we close that gap, it is automatically going to close the gap in Vodka too.

Using alligation,

We find that the ratio of Russian Heat and Teqnical must be 12 : 17 to have 20% content of Gin. 

So cost of the drink = (12*240 + 17*160) / 29 = Rs 193.

Hence, if a drink which contains at least 20% of each of Vodka, White Rum, Gin and Tequila is to be prepared, the minimum price per peg of it at the Happily Tipsy Bar must be Rs 193.

Posted by

Gautam harsolia

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