Question

A shopkeeper mixes three tea bags priced at Rs 50 Rs 60 and Rs 100per kg At what ratio must hi mix the bags in order to achieve the final price ₹80 perkg.​

Answer 1

Step-by-step explanation:

Answer is respectively at INR 80 per

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Answer 2

Given:

A shopkeeper mixes three tea bags priced at Rs 50 Rs 60 and Rs 100per kg.

To find: the ratio must to mix the bags in order to achieve the final price ₹80 perkg.​

Solution:

Let the three variants be A, B, and C and let their cost per kg be Rs.60, Rs.75 and Rs.100 respectively.

The mean price falls between B and C.

Find out the ratio of A : C using alligation rule

$\[\begin{array}{l}\frac{A}{C} = \frac{{100 - 80}}{{80 - 60}}\\ \Rightarrow \frac{A}{C} = \frac{1}{1}\\ \Rightarrow A:C = 1:1\end{array}\]$

Find out the ratio of B : C using alligation rule.

$\[\begin{array}{l}\frac{B}{C} = \frac{{100 - 80}}{{80 - 75}}\\ \Rightarrow \frac{B}{C} = \frac{4}{1}\\ \Rightarrow B:C = 4:1\end{array}\]$

Understand that, C can be found by adding the value of C in step 1 and step 2 $= 1 + 1 = 2.$

The resultant ratio $QA : QB : QC :: 1 : 4 : 2.$