Quantitative Aptitude Ques 1607

Question: 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

Options:

A) Rs. 169.50

B) Rs. 170

C) Rs. 175.50

D) Rs. 180

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Since, first and second varieties are mixed in equal proportions, so their average price $ =Rs.( \frac{126+135}{2} )=Rs.130.50 $ So the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e. 1 : 1. We have to find x. By the rule of alligation, we have

$ \therefore $ $ \frac{x-153}{22.50}=1 $
$ \Rightarrow $ $ x-153=22.50 $
$ \Rightarrow $ $ x=175.50 $ Hence, price of the third variety is Rs. 175.50 per kg.