Question

A dishonest shopkeeper promises to sells his goods at cost price. However he uses a weight that actually weighs 46% less than what is written on it.Find the profit.

• A. 87 10/27 %
• B. 85 5/27 %
• C. 84 5/27 %
• D. 86 6/2 7%

Answer 1

Answer:

B. 85 5/27 %

Let the cost price (CP) of 1 kg of goods be ₹100.

The shopkeeper claims to sell at cost price, i.e., charges ₹100 for 1 kg.

The weight used is 46% less,
So actual weight given = (100% - 46% = 54%)

That means, instead of 1 kg, he gives 0.54 kg for ₹100.

$0.54 \times 100 = ₹54$

$100 - 54 = ₹46$

Profit percentage:

\text{Profit %} = \frac{46}{54} \times 100 = 85.185%

Profit = 85 (\frac{5}{27})% (approximately 85.19%)