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:

• A. 169.5
• B. 170
• C. 175.5
• D. 180

Answer 1

The correct option is C 175.5

First 2 varieties were mixed in equal proportions. So the average price$=\frac{126+135}{2}=130.5$
Now, there are 2 parts of the mixture of the first 2 varieties and 2 parts of 3rd variety.
$\frac{130.5+x}{2}=153\Rightarrow$ Cost of third variety =306-130.5=175.50