Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Alligation or Mixture > Miscellaneous

1. 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:

A. Rs. 169.50

B. Rs. 170

C. Rs. 175.50

D. Rs. 180

Solution:

Since first and second varieties are mixed in equal proportions.
So, their average price

\begin{aligned} = Rs . (\frac{126 + 135}{2}) \\ = Rs . 130.50 \end{aligned}

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:
Alligation mcq solution image

\begin{aligned} ∴ \frac{x - 153}{22.50} = 1 \\ \Rightarrow x - 153 = 22.50 \\ \Rightarrow x = 175.50 \end{aligned}

You must login to add comments. Login now.