Question

A bookseller sells 10 pens for ₹300, but in doing so, he incurs a loss equal to the cost price of 4 pens. The loss percent is:

• A. 40%
• B. 70%
• C. 60%
• D. 50%

Answer 1

Answer:

A. 40%

Let the cost price of 1 pen be ₹x.

Step 1: Total cost price (CP)

For 10 pens:
[
CP = 10x
]

Step 2: Selling price (SP)

Given SP for 10 pens = ₹300

Step 3: Loss condition

Loss = cost price of 4 pens = (4x)

So,
$\text{Loss} = CP - SP$
$4x = 10x - 300$
$10x - 4x = 300$
$6x = 300$
$x = 50$

Step 4: Find CP and loss

• $CP = (10 \times 50 = 500)$

• SP = 300

• Loss = 200

Step 5: Loss percent

$\frac{200}{500} \times 100 = 40\%$