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Question

If 28 kg of tea at Rs 72 per kg and 56 kg tea at Rs 90 per kg were mixed together and sold at Rs 85 per kg, how much profit would be made?

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Solution

For 28 kg tea, the cost price of 1 kg tea = Rs 72
∴ Cost price of 28 kg tea = Rs 72 × 28 = Rs 2016


For 56 kg tea, the cost price of 1 kg tea = Rs 90
∴ Cost price of 56 kg tea = Rs 90 × 56 = Rs 5040

Now, 28 kg and 56 kg tea are mixed.
So, net tea = 28 kg + 56 kg = 84 kg
Net cost price = Rs 2016 + Rs 5040 = Rs 7056

Selling price of 1 kg tea = Rs 85
∴ Selling price of 84 kg (28 kg + 56 kg ) = Rs 85 × 84 = Rs 7140

Here, the selling price is greater than cost price.
So, he made a profit.
Profit = Selling price – Cost price = Rs 7140 – Rs 7056 = Rs 84

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