Tea worth of 75 Rs./kg & 25 Rs./kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 70 per kg, the price of the third variety per kg will be ?
Answer & explanation
Correct answer: option 1
Since first second varieties are mixed in equal proportions, so their average
price = \(\frac{75 + 25}{2}\)= 50 Rs.
So, Now the mixture is formed by mixing two varieties, one at Rs. 50 per kg
and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1.
\(\frac{x -70}{20}\)= 1 => x - 70 = 20 => x = 90 Rs.
Hence, price of the third variety = Rs. 90 per kg.