A dishonest dealer professes to sell his goods at cost price but uses a false weight and thus gains 15%. For a kilogram he uses a weight of ____ grams.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 869.57.
Assume cost price of 1 kg goods = ₹100
Dealer claims to sell 1 kg at cost price = ₹100
So, selling price (SP) = ₹100
Let actual weight he gives = x grams
Then cost price of x grams = (100 × x) / 1000 = 0.1x
Profit = SP – CP = 100 – 0.1x
Profit % = (Profit / CP) × 100 = 15
So, (100 – 0.1x) / (0.1x) × 100 = 15
⇒ (100 – 0.1x) / (0.1x) = 0.15 ⇒ 100 – 0.1x = 0.015x
⇒ 100 = 0.115x ⇒ x = 100 / 0.115 = 869.57 grams