Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him?

Step 1: Calculate the total cost of each type of barley

• 30 kg at Rs. 11.50/kg → Cost = 30 × 11.50 = Rs. 345
• 20 kg at Rs. 14.25/kg → Cost = 20 × 14.25 = Rs. 285

Step 2: Find the total quantity and total cost

Total Quantity = 30 + 20 = 50 kg
Total Cost = 345 + 285 = Rs. 630

Step 3: Find the cost price per kg

Cost Price per kg = Total Cost / Total Quantity = 630 / 50 = Rs. 12.60

Step 4: Add 30% profit

Selling Price per kg = Cost Price × (1 + Profit %)
                     = 12.60 × (1 + 30/100)
                     = 12.60 × 1.30
                     = Rs. 16.38

Answer: Rs. 16.38 per kg

To make a 30% profit, Manideep should sell the barley mixture at Rs. 16.38 per kg.

This type of question is common in profit and loss topics in aptitude exams. It demonstrates how to calculate weighted averages, cost price, and profit margin — essential skills for both exam prep and real-world pricing strategies.