Answer

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**Hint:**Cost price: - The price at which an article is purchase is called its cost price (C.P)

Selling Price: - Price at which an article is sold is called its selling price (SP)

Profit: - If \[SP > CP\] the we make a profit

Profit = SP - CP

Loss: - If \[CP > SP\] then we make a loss

**Complete step by step solution:**

Given,

A trade purchase \[70\]kg of tea at Rs \[15\]per kg

\[1kg\,tea = Rs15\]

Cost of \[70\] kg of tea at Rs. \[15\]Per

\[Kg = 70 \times 15\]

\[ = 1050\,Rs.\]

Now, also given that

\[30\] kg of tea at Rs. \[18.50\]per kg

So, cost of \[1\] kg of tea \[ = 18.50\]

Then

Cost of 30kg of tea at 18.50 per kg \[ = 30 \times \dfrac{{1850}}{{10}}\]

\[ = 555\]Rs

Then

The total cost\[ = 1050\,Rs. + 555\,Rs. = 1605\,Rs.\]

Selling price including packing charges or \[\] and gain \[15\% \]

So, selling price \[ = \cos t\,price \times \dfrac{{102}}{{100}} \times \dfrac{{115}}{{100}}\]

Putting the value of total cost here

\[ = 1605 \times \dfrac{{102}}{{100}} \times \dfrac{{115}}{{100}}\]

\[ = 1605 \times 1.02 \times 1.15\]

\[ = 1605 \times 1.173\]

\[S.P = 1882.67\]Rs.

Now,

Total weight \[ = 70 + 30 = 100kg\]

Selling price per kg

\[ = \dfrac{{1882.67}}{{100}}\]

\[ = 18.82\]per kg

**Hence the answer is \[18.82\] per kg.**

**Note:**

1.Profit% and loss % are always calculated on the C.P. and never on the S.P.

2.When C.P. and S.P. are given from an equal number of quantities first find the C.P or S.P. of equal number of quantities and then calculate profit% or loss %.

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