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.