Mixtures and Allegations Practice Test 1

Question : 38 of 40

Marks: +1, -0

Tea worth Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 153 per kg, the price of the third variety per kg will be:

Rs 175.5
Rs 180.0
Rs 169.5
Rs 170.0

Validate

Solution:

Price of two types of tea = Rs 126 + 135 = Rs 261
Price of the mixture = 153 + 153 = Rs 306
Price of the third mixture weighing two kg = x
By using the alligation method,

Ratio is

{306-261}/{x-306}=1/1

45/{x-306}=1/1

45=x-306

x=351

Price of two kilogram tea = Rs 351
Price of weighing third variety weighing one kg

= 351/2

= Rs 175.5 per kg

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