Correct option is A
Given:
Dealer uses weights 10% less than the true weight
→ When he “sells 1 kg”, he actually gives 0.9 kg
He makes 15% profit on the selling price
Assume Cost Price (CP) of 1 kg = ₹100 (for easy calculation)
Formula:
Actual Cost Price
Actual CP = True CP × Actual weight given
Selling Price with profit
SP = CP × (1 + Profit%)
Gain %
Gain% = (Gain / Actual CP) × 100
Solution:
Step 1: Actual Cost to the dealer
He gives only 0.9 kg.
Actual CP = 100 × 0.9 = ₹90
Step 2: Selling Price with 15% profit
SP = 100 × 1.15 = ₹115
Step 3: Gain
Gain = SP − Actual CP
= 115 − 90
= ₹25
Step 4: Gain Percentage
Gain% = (25 / 90) × 100
= 27.78%
Final Answer: 27.78%
