A vendor bought 60 kg of sugar at the rate of Rs. 25/kg. He sold 60% of the total quantity at the rate of Rs. 30/kg. At what price/kg (in Rs.) should he sell the remaining quantity to make 30% overall profit?

Step 1: Calculate total cost price and required total selling price.
Total quantity = 60kg
Cost Price per kg = Rs. 25

Total Cost Price (CP)=60×25=Rs. 1500
Required overall profit = 30%

Total Required Selling Price (SP)=1500×(1+
100
30
​
)=1500×1.3=Rs. 1950
Step 2: Calculate the revenue from the first part sold.
Quantity sold first = 60% of 60=36kg
Selling price for this quantity = Rs. 30/kg

SP from first part=36×30=Rs. 1080
Step 3: Calculate required price for remaining quantity.
Remaining quantity = 60−36=24kg
Required revenue from remaining quantity = 1950−1080=Rs. 870

Selling price per kg for remaining quantity=
24
870
​
=Rs. 36.25/kg