Question

A shopkeeper bought 30 kg of rice at the rate of Rupees 90 per kg. He sold forty percent of the total quantity at the rate of Rupees 60 per kg. Approximately at what price per kg should he sell the remaining quantity to make 25% overall profit?

• A. 155.5
• B. 167.5
• C. 157.5
• D. 147.5

Hint:

For mixed selling-price problems, first compute the target total revenue using the desired overall profit on total cost. Subtract any revenue already realized, then divide by the remaining quantity to get the required price.

Answer 1

The Correct Option is D

Step 1: A 25% profit on the total cost of \(30\times90=2700\) means the total revenue needed is \(2700\times1.25=3375\), so the average selling price per kg must be \(3375/30=112.5\).

Step 2: The first 40%, or 12 kg, is sold at Rupees 60/kg, contributing \(12\times60=720\) toward the average.

Step 3: The remaining 18 kg must make up the rest of the average: \(30\times112.5-720=3375-720=2655\), spread over 18 kg.

Step 4: Required price \(=2655/18=147.5\) per kg. \[ \boxed{147.5} \]