A) Rs. 169.50
B) Rs. 170
C) Rs. 175.50
D) Rs. 180
Correct Answer: C
Solution :
[c] Since, first and second varieties are mixed in equal proportions, so their average price |
\[=Rs.\,\,\left( \frac{126+135}{2} \right)=Rs.\,\,130.50\] |
So the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e. 1 : 1. We have to find x. |
By the rule of alligation, we have |
\[\therefore \]\[\frac{x-153}{22.50}=1\]\[\Rightarrow \]\[x-153=22.50\]\[\Rightarrow \]\[x=175.50\] |
Hence, price of the third variety is Rs. 175.50 per kg. |
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