Question

A shopkeeper mixes two qualities of tea. The first quality costs ₹150 per kg and is mixed with the second quality in the ratio 4: 5. If the mixture is sold at ₹130 per kg (at no profit, no loss), what is the cost per kg of the second quality of tea?

• A. ₹100
• B. ₹110
• C. ₹114
• D. ₹120

Answer 1

Answer:

C. ₹114

Let the cost of the second quality tea be ₹(x) per kg.

The two qualities are mixed in the ratio 4 : 5.

Since the mixture is sold at no profit, no loss, the cost price of the mixture is ₹130 per kg.

Using the weighted average:

$\frac{4(150) + 5x}{4+5} = 130$

$\frac{600 + 5x}{9} = 130$

600 + 5x = 1170
5x = 570
x = ₹114