Final answer:
It would not be profitable for the customer to buy goods half from Banwari and half from Sadik instead of purchasing all from Amit. The total cost exceeds the initial price of 11,200 by 113.13, thereby indicating a loss.
Step-by-step explanation:
The question asks whether it would be profitable for a customer to purchase half of the goods from Banwari and half from Sadik instead of buying all from Amit, given that Amit sells his goods 10% cheaper than Banwari and 10% dearer than Sadik. To determine this, we need to calculate the cost of the goods if bought from each seller.
If the goods are worth 11,200 when bought from Amit, then buying directly from Sadik would make them cheaper by 10%, which is 11,200 - (10% of 11,200). On the other hand, buying from Banwari would make them 10% more expensive, which is 11,200 + (10% of 11,200).
Bought half from each would be (Sadik's half-price) + (Banwari's half-price). We can calculate this as:
- Sadik's price for half the goods: 11,200 × 0.9 ÷ 2
- Banwari's price for half the goods: 11,200 × 1.1 ÷ 2
- Total cost when buying half from each: (Sadik's half-price) + (Banwari's half-price)
Upon solving we find that the total cost exceeds the initial 11,200 by 113.13, indicating a loss of 113.13 for the customer. Therefore, it would not be profitable to buy half from each.