By disposing of 8 units of a product for ₹240, a trader suffers a financial loss equivalent to the purchase price of 2 of those units. Determine the loss percentage incurred by the trader.
Correct Answer :
25%
Solution :
The correct option is 25%.
Let's break down the solution step-by-step to calculate the loss percentage.
Step 1: Understand the given information
Number of units sold = 8
Selling Price of 8 units = ₹240
Loss incurred = Cost Price (CP) of 2 units
Step 2: Set up the equation for Loss
We know the standard formula for loss is:
Let the cost price of 1 unit be and the selling price of 1 unit be .
Cost Price of 8 units =
Selling Price of 8 units =
Loss = Cost Price of 2 units =
Substituting these into the loss formula:
Step 3: Relate Cost Price and Selling Price
Rearranging the equation to solve for :
This means the total Cost Price of 8 units is .
Step 4: Calculate the Loss Percentage
The formula for Loss Percentage is:
Substitute Total Loss = and Total Cost Price = :
Simplifying the fraction:
Thus, the loss percentage incurred by the trader is 25%.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.