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 157 per Kg , the price of the third variety per Kg will be? Choose the correct choice from the following options.
A) Rs. 147.50
B) Rs. 785.50
C) Rs. 179.50
D) Rs. 258.50
E) None of these
Explanation :   Since first and second varieties are mixed in equal proportions.   So, their average price =Rs. (126+135)/2.   =&gt;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:   Cost of 1 kg Cost of 1 kg   of 1st kind of 2nd kind   (Rs. 130.50) (Rs. x)   \ /   Mean Price   (Rs. 157)   / \   xâˆ’157 22.50   =&gt;xâˆ’(157/22.50)=1.   =&gt;xâˆ’157=22.50.   =&gt;x= 179.50 Rs.   Answer : Rs. 179.50
<result>C</result>
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 157 per Kg , the price of the third variety per Kg will be?