Teas 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, what is the price (in Rs per kg) of the third variety?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 175.5
The total cost of the mixture equals the sum of the costs of its parts, so working with 4 kg (1 + 1 + 2) gives one simple equation.
Cost of 4 kg of mixture \(=4\times153=\) Rs 612
Cost of 1 kg of each of the first two \(=126+135=\) Rs 261
Cost of 2 kg of the third \(=612-261=\) Rs 351
Price of the third \(\displaystyle =\frac{351}{2}=\) Rs 175.50 per kg
The third variety costs Rs 175.50 per kg.