Question

A salesman offers a discount scheme of 'Buy 25 and get 5 free' on the purchase of notebooks in his shop. He professes that a notebook costs him ₹10, but in reality, it costs him ₹5. Find the difference between his profit percentage and scheme discount.

• A. 42%
• B. 48%
• C. 50%
• D. 56%

Answer 1

Answer:

C. 50%

Let’s break it clearly.

Understand the scheme

“Buy 25, get 5 free” ⇒ total notebooks given = 30

So, for every 30 notebooks, customer pays for 25.

Selling price (as per claim)

He claims CP = ₹10, so SP = ₹10 per notebook

Amount paid by customer = (25 \times 10 = ₹250)

Actual cost

Actual CP = ₹5 per notebook

Total cost for 30 notebooks = (30 \times 5 = ₹150)

Profit

Profit = (250 - 150 = ₹100)

Profit % =
$\frac{100}{150} \times 100 = 66.67\% = 66\tfrac{2}{3}\%$
Discount %

Free 5 on 25 ⇒
$\frac{5}{30} \times 100 = 16.67\% = 16\tfrac{2}{3}\%$

Difference

$66\tfrac{2}{3} - 16\tfrac{2}{3} = 50\%$

Final Answer:

50%