Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.157 per kg, the price of the third variety per kg will be  Choose the correct choice from the following choices
A) rs . 179.50 B) rs . 1700 C) rs . 175.50 D) rs . 180 E) none

Rationale: solution since first second varieties are mixed in equal proportions , so their average price = rs . ( 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 . x - 157 / 22.50 = 1 = â € º x - 157 = 22.50 = â € º x = 179.50 . hence , price of the third variety = rs . 179.50 per kg . answer a
Answer: A