Question Details

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.

Options

A

20%

B

25%

C

40%

D

50%

Show Answer

Correct Answer :

Option B

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:
Loss=Cost Price of 8 units-Selling Price of 8 units

Let the cost price of 1 unit be c and the selling price of 1 unit be s.
Cost Price of 8 units = 8c
Selling Price of 8 units = 8s
Loss = Cost Price of 2 units = 2c

Substituting these into the loss formula:
2c=8c-8s

Step 3: Relate Cost Price and Selling Price
Rearranging the equation to solve for 8s:
8s=8c-2
8s=6c

This means the total Cost Price of 8 units is 8c.

Step 4: Calculate the Loss Percentage
The formula for Loss Percentage is:
Loss Percentage=Total LossTotal Cost Price×100

Substitute Total Loss = 2c and Total Cost Price = 8c:
Loss Percentage=2c8c×100

Simplifying the fraction:
Loss Percentage=14×100=25%

Thus, the loss percentage incurred by the trader is 25%.

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