Question

How many kilograms of tea, costing ₹250 per kg must be mixed with 25 kg of tea costing ₹400 per kg so that there may be a profit of 10% on selling the mixture at ₹330 per kg?

• A. 45 kg
• B. 40 kg
• C. 60 kg
• D. 50 kg

Answer 1

Answer:

D. 50 kg

Selling price (SP) of mixture = ₹330/kg
Profit = 10% ⇒ Cost price (CP) of mixture:

$CP = \frac{330}{1.1} = 300 \text{ per kg}$

Use alligation

Cheaper tea = ₹250
Dearer tea = ₹400
Mean price = ₹300

$\text{Ratio} = (400 - 300) : (300 - 250) = 100 : 50 = 2 : 1$

So,
Cheaper : Dearer = 2 : 1

Given dearer tea = 25 kg

Let cheaper tea = (x)

$\frac{x}{25} = \frac{2}{1}$
$\Rightarrow x = 50$

Final Answer:

50 kg