# There are four types of Tea of cost price of Rs. 40, Rs. 50, Rs. 80 and Rs. 70 are mixed into a mixture. If a shopkeeper sells this mixture at Rs. 60

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There are four types of Tea of cost price of Rs. 40, Rs. 50, Rs. 80 and Rs. 70 are mixed into a mixture. If a shopkeeper sells this mixture at Rs. 60 and quantity of this mixture is 80kg. Find the quantity of tea of Rs. 80 mixed into the mixture.
1. 10 kg
2. 30 kg
3. 20 kg
4. 40 kg

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Correct Answer - Option 3 : 20 kg

Given:

The cost price of tea is Rs. 40, Rs. 50, Rs. 80 and Rs. 70 and the mean price is Rs. 60.

Possible value of cost price which can mean price of Rs. 60 are (40, 80) and (50, 70)

Calculation:

Using rule of alligation,

Ratio of tea of cost price of Rs. 40 and Rs. 80 are mixed = (80 – 60) : (60 – 40)

= 1 : 1

Ratio of tea of cost price of Rs. 50 and Rs. 70 are mixed = (70 - 60) : (60 – 50)

= 1 : 1

Ratio of tea of cost price Rs. 40, Rs. 50, Rs.80 and Rs.70 are mixed = 1 : 1 : 1 : 1

Required quantity of tea of Rs. 80 = ¼ × 80 = 20 kg