a trader in gikomba market sold a bag of potatoes at ksh 1140 giing a discount of 5%if she made15% profit from the selling price find the buying price of the bag of potatoes to the nearest shilling

To find the buying price of the bag of potatoes, we need to follow these steps:

1. **Determine the original selling price before the discount:**
   - The trader sold the bag at Ksh 1140 after giving a 5% discount.
   - Let \( P \) be the original selling price before the discount.
   - Since a 5% discount was given, 95% of the original selling price is Ksh 1140:
     \[
     0.95P = 1140
     \]

   - Solve for \( P \):
     \[
     P = \frac{1140}{0.95} = 1200
     \]

2. **Calculate the buying price based on the profit margin:**
   - The trader made a 15% profit on the original selling price.
   - Let \( B \) be the buying price.
   - Since the profit is 15%, the selling price \( P \) is 115% of the buying price:
     \[
     1.15B = 1200
     \]

   - Solve for \( B \):
     \[
     B = \frac{1200}{1.15} \approx 1043.47826
     \]

   - Round to the nearest shilling:
     \[
     B \approx 1043
     \]

Therefore, the buying price of the bag of potatoes to the nearest shilling is Ksh 1043.

Would you like details or have any questions?

Here are 8 related questions to expand on this information:

1. What would be the buying price if the discount was 10% instead of 5%?
2. If the profit margin was 20% instead of 15%, what would be the buying price?
3. How much would the trader sell the bag for if no discount was given and a 15% profit was made?
4. What is the trader's profit in shillings on each bag of potatoes sold?
5. How much would the selling price be if the discount was 0% and the profit margin was still 15%?
6. If the trader sold two bags of potatoes at the same conditions, what would be the total buying price?
7. What is the percentage profit if the selling price is Ksh 1140 and the buying price is Ksh 1043?
8. How much profit does the trader make per kilogram if each bag weighs 50 kg and is sold at Ksh 1140 with a 15% profit margin?

**Tip:** When dealing with percentage discounts and profits, always convert percentages to decimals and use them to adjust the original values accordingly.

Learn how to calculate the buying price of a bag of potatoes after a discount and with a specified profit margin. This problem involves percentage calculations and understanding profit margins. Suitable for high school students and anyone interested in business mathematics.

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