B purchased 15 kg apples at the rate of ?180 per kg from a wholesaler who uses a weight of 950 grams for the kg weight. B sold all these apples at ?180 per kg but used a weight of 750 grams for the kg weight. Find the percentage profit earned by B in the transaction (correct to 2 places of decimal).
This questions was previously asked in
SSC CGL Tier II Paper 1 (26.10.2023)
Explanation:
Let’s break down the solution:
- B purchases: 15 kg apples (as per wholesaler's balance), but each “kg” is only 950g.
- Total actual apples received: 15 × 950g = 14,250g = 14.25 kg actual apples.
- Cost price: 15 × ?180 = ?2,700.
- B sells at: ?180 per kg, but his “kg” is only 750g.
- Total ‘kgs’ sold (as per B’s weight): 14,250g ÷ 750g = 19 “kgs” (units sold).
- Total selling price: 19 × ?180 = ?3,420.
Profit = Selling Price – Cost Price = ?3,420 – ?2,700 = ?720
Profit % = (Profit / Cost Price) × 100 = (720 / 2700) × 100 = 26.67%
Option 4: 26.67%
- Other options:
- 22.55%, 25.75% and 33.33% do not match the calculated value.
- The right strategy is: Always convert weights to actual quantity before profit calculation.
- B’s profit is due to both buying and selling with less than a kg per labeled “kg”.
Correct Answer: Option 4: 26.67%
![]()
By: Parvesh Mehta