Tea 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, the price of the third variety per kg will be:
Select
A) Rs. 169.50  B) Rs. 170  C) Rs. 175.50  D) Rs. 175.50  E) None
EXPLANATION   Since first and second varieties are mixed in equal proportions.   So, their average price = Rs. (126 + 135 / 2)= 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:   x-153/ 22.50 =1   x – 153 = 22.50   x = 175.50   Answer Rs. 175.50
<result>C</result>
Tea 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, the price of the third variety per kg will be: