Question

A shopkeeper marks 30% above cost and allows a 15% discount. He also uses a faulty balance: sells “1 kg” but delivers only 800 g. Find his actual profit percentage.

• A. 38.125%
• B. 24.425%
• C. 32.124%
• D. None of these

Hint:

For false weights, compute SP on the billed quantity but CP on the actual quantity delivered.

Answer 1

The Correct Option is A

Given cost price (CP) per kg $=₹ 100$. Marked price is set at $100\times1.30=₹ 130$. After a 15% discount, the selling price (SP) per kg is $130\times0.85=₹ 110.5$. However, the supplier provides only $0.8$ kg, costing him $0.8\times100=₹ 80$. Profit is $₹(110.5-80)=₹ 30.5$. The profit percentage is $\dfrac{30.5}{80}\times100=38.125%$. \(⇒\) This includes a hidden gain from short-weight ($1/0.8=1.25$, meaning $25%$ extra).