Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 39% less than what is written on it. Find his profit percentage.

• A. 62 57/61%
• B. 65 114/61%
• C. 63 57/61%
• D. 64 58/61%

Answer 1

Answer:

C. 63 57/61%

Let the shopkeeper claim to sell 1 kg at cost price.

But his weight is 39% less, so he actually gives:
$1 - 0.39 = 0.61 \text{ kg}$

Assume:

Cost price of 1 kg = ₹100
(Simplifies calculation, result stays same)

• He charges ₹100 (says it's cost price)

• But gives only 0.61 kg

So, cost of 0.61 kg = ₹61
Selling price = ₹100

---

Profit:

$\text{Profit} = 100 - 61 = 39$

$\text{Profit \%} = \frac{39}{61} \times 100$

$= 63 \frac{57}{61}\%$