Discussion
Rice of rate Rs. 126 per kg and Rs. 135 per kg and 3rd variety in the ratio 1 : 1 : 2. If the final mixture is worth Rs. 153 per kg, what is the rate of the third variety per kg?
Answer: D
Take the quantities as 1, 1 and 2 kg, four kilograms in all.
\[ 126 + 135 + 2p = 4 \times 153 = 612 \]
\[ 2p = 612 - 261 = 351 \quad\Longrightarrow\quad p = \text{Rs. } 175.50 \]
The third variety carries half the weight of the mixture, which is why its price does not have to be far above 153 to lift the average.
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