Tea worth ₹ 126/kg and ₹ 135/kg are mixed wit | vedclass

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(C) Let the price of the third variety be ₹ $x$ per kg.The first two varieties are mixed in the ratio $1:1$.Average price of the first two varieties $

Vedclass · Accepted Answer

$175.50$

Vedclass · Answer

(C) Let the price of the third variety be ₹ $x$ per kg.The first two varieties are mixed in the ratio $1:1$.Average price of the first two varieties $= \frac{126 + 135}{2} = \frac{261}{2} = ₹ 130.50$.Now,the mixture is formed by mixing the combined first two varieties (in ratio $1+1=2$) and the third variety (in ratio $2$) in the ratio $2:2$,which simplifies to $1:1$.Using the alligation method:Mean price $= 153$.Difference between mean price and average of first two varieties $= 153 - 130.50 = 22.50$.Difference between third variety price and mean price $= x - 153$.Since the ratio of the quantities is $1:1$,the differences must be equal:$x - 153 = 22.50$$x = 153 + 22.50 = 175.50$.Thus,the price of the third variety is ₹ $175.50/kg$.

Tea worth ₹ $126/kg$ and ₹ $135/kg$ are mixed with a third variety in the ratio $1:1:2$. If the mixture is worth ₹ $153/kg$,the price of the third variety per kg will be (in ₹):

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