Discussion
3 types of Sugar got mixed by accident in a shop. First was of the rate Rs. 145 per kg and Second of Rs. 165 per kg. Only thing the shop owner knew that quantities of 3 sugar types were in the ratio 2:1:3 respectively. He finally sold the mix at rate of Rs. 180 per kg. What was price of 3rd type?
Answer: A
Take the quantities as 2, 1 and 3 kg, six kilograms in all.
\[ 2(145) + 1(165) + 3p = 6(180) \]
\[ 290 + 165 + 3p = 1080 \]
\[ 3p = 625 \quad\Longrightarrow\quad p = \text{Rs. } 208.33 \]
The third type is the most expensive, which it has to be for the average of 180 to sit above both known prices.
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