Q. Surya sells 45 pens and suffers a loss equal to the selling price of five pens. What is his total loss percentage?
(A) 11.11%
(B) 10%
(C) 9%
(D) 12.5%
Question from UPPSC Prelims CSAT 2024
Correct Answer: (B) 10%
Explanation:
Step 1: Define the variables
Let the selling price (SP) of one pen be Rs. x.
The total selling price of 45 pens = 45x.
The problem states that the loss is equal to the selling price of 5 pens.
Thus, the total loss = 5x.
Step 2: Understand the cost price (CP)
The cost price (CP) of 45 pens can be calculated as:
CP = SP + Loss
Substitute the values:
CP = 45x + 5x = 50x
Step 3: Calculate the loss percentage
The formula for loss percentage is:
Loss % = (Loss / CP) × 100
Substitute the values:
Loss % = (5x / 50x) × 100
Loss % = (1/10) × 100 = 10%
Correct option: (B) 10%