If 7 kg of tea of price ₹ 72 per kg is blended with

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If 7 kg of tea of price ₹ 72 per kg is blended with 33 kg of tea of ₹ 87 per kg and 35 kg of ₹ 85 per kg and the mixture is sold at 15% profit, then what is the selling price of the mixture ?

1. ₹ 80.66 per kg
2. ₹ 102.33 per kg
3. ₹ 91.22 per kg
4. ₹. 97.37 per kg

Correct Option: D

CP per kg of the mixture = (w₁x₁ + w₂x₂ + w₃x₃) / (w₁ + w₂ + w₃)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ₹ 84.66
Profit = 15%
∴ SP per kg = ₹ 84.66 + 15% of ₹ 84.66
= ₹ 97.37