Question

Darjeeling tea costing 450 per kg is mixed with Assam tea at 250 per kg to make blended tea.If the mixture contains 40 % Darjeeling tea , calculate the cost of 1 kg of the mixture.​

Answer 1

Answer:

330 per kg

Step-by-step explanation:

1 kg of blended tea contains 40% darjeeling tea = 400gms

60% assam tea = 600gms

cost of 400 gms of darjeeling tea

= 450 × 400/1000

= 45 × 4 = 180

cost of 600 gms assam tea

= 250 × 600/1000

= 25 × 6 = 150

cost of 1 kg blended tea

180 + 150 = 330

Answer 2

The cost of 1 kg of mixture is Rs. 330.

Step-by-step explanation:

Since we have given that

Cost of Darjeeling tea per kg = Rs. 450

Cost of Assam tea per kg = Rs. 250

Ratio of Darjeeling tea to Assam tea is given by

$40\%:60\%\\\\=4:6\\\\=2:3$

So, Cost of 1 kg mixture would be

$\dfrac{2}{5}\times 450+\dfrac{3}{5}\times 250\\\\=180+150\\\\=Rs.\ 330$

Hence, the cost of 1 kg of mixture is Rs. 330.

# learn more:

1Kg Darjeeling tea is mixed with 6 kg Assam tea and sold at the rate of Rs.264/Kg

resulting a total profit of 20%. If cost price of Assam tea is Rs.200/Kg, find the cost

price of Darjeeling tea.​

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