Profit and Loss — Blend 7 kg of tea at ₹ 72/kg with 33 kg at ₹ 87/kg and 35 kg at ₹ 85/kg. If the mixture is sold at a 15% profit, what is the selling price per kg of the mixture?

Introduction / Context:
Weighted-average cost for mixtures is obtained by dividing the total cost by total weight. Adding the desired profit percentage to this average cost gives the required selling price per kg.

Given Data / Assumptions:

• Weights: 7 kg @ ₹ 72, 33 kg @ ₹ 87, 35 kg @ ₹ 85.
• Target profit = 15% on the blended cost.

Concept / Approach:
Compute total cost and total weight. Average CP/kg = Total cost / Total weight. Then SP/kg = Average CP/kg * 1.15 to achieve the 15% markup on cost.

Step-by-Step Solution:

Verification / Alternative check:
Reverse-check: Profit per kg ≈ 97.37 − 84.67 ≈ 12.70 ⇒ 12.70/84.67 * 100 ≈ 15%.

Why Other Options Are Wrong:
102.33 overshoots 15%; 91.22 and 80.66 are below the required margin; 95.00 is not the precise 15% markup on the blended cost.

Common Pitfalls:
Averaging selling prices instead of costs; forgetting to weight by quantities; rounding the intermediate average too early.

Final Answer:
₹ 97.37 per kg