Answer :
To solve this problem, we need to determine how much Jerónimo earned and whether he incurred a gain or loss after selling some of the pallares. Let's break it down step-by-step.
1. Determine the total cost Jerónimo paid for the pallares:
Jerónimo bought 3.8 kilos of pallares, and each kilo costs S/ 2,40. To find the total cost, we multiply the number of kilos by the cost per kilo:
[tex]\[
\text{Total Cost} = 3.8 \, \text{kilos} \times S/ 2.40 \, \text{per kilo} = S/ 9.12
\][/tex]
2. Calculate how much Jerónimo earned from selling a portion of the pallares:
Jerónimo sold [tex]\( \frac{1}{2} \)[/tex] kilo of pallares at S/ 1.50 per [tex]\( \frac{1}{2} \)[/tex] kilo. Since he only sold [tex]\( \frac{1}{2} \)[/tex] kilo, the revenue he earned from this sale is:
[tex]\[
\text{Total Revenue} = \frac{1}{2} \, \text{kilo} \times S/ 1.50 = S/ 0.75
\][/tex]
3. Determine if Jerónimo made a gain or incurred a loss:
To find out if there's a gain or loss, we need to compare the selling price with the cost price for the [tex]\( \frac{1}{2} \)[/tex] kilo of pallares he sold:
[tex]\[
\text{Cost of } \frac{1}{2} \, \text{kilo} = \frac{1}{2} \, \text{kilo} \times S/ 2.40 \, \text{per kilo} = S/ 1.20
\][/tex]
The revenue Jerónimo earned from selling the [tex]\( \frac{1}{2} \)[/tex] kilo was S/ 0.75.
[tex]\[
\text{Loss per } \frac{1}{2} \, \text{kilo} = \text{Cost} - \text{Revenue} = S/ 1.20 - S/ 0.75 = S/ 0.45
\][/tex]
So, for the [tex]\( \frac{1}{2} \)[/tex] kilo he sold, Jerónimo incurred a loss of S/ 0.45.
4. Summary of Jerónimo's financial outcome:
- Total Cost: S/ 9.12
- Total Revenue from selling [tex]\( \frac{1}{2} \)[/tex] kilo: S/ 0.75
- Loss incurred from selling [tex]\( \frac{1}{2} \)[/tex] kilo: S/ 0.45
Therefore, Jerónimo's overall gain was negative as he incurred a loss of S/ 0.45 from the sale.
1. Determine the total cost Jerónimo paid for the pallares:
Jerónimo bought 3.8 kilos of pallares, and each kilo costs S/ 2,40. To find the total cost, we multiply the number of kilos by the cost per kilo:
[tex]\[
\text{Total Cost} = 3.8 \, \text{kilos} \times S/ 2.40 \, \text{per kilo} = S/ 9.12
\][/tex]
2. Calculate how much Jerónimo earned from selling a portion of the pallares:
Jerónimo sold [tex]\( \frac{1}{2} \)[/tex] kilo of pallares at S/ 1.50 per [tex]\( \frac{1}{2} \)[/tex] kilo. Since he only sold [tex]\( \frac{1}{2} \)[/tex] kilo, the revenue he earned from this sale is:
[tex]\[
\text{Total Revenue} = \frac{1}{2} \, \text{kilo} \times S/ 1.50 = S/ 0.75
\][/tex]
3. Determine if Jerónimo made a gain or incurred a loss:
To find out if there's a gain or loss, we need to compare the selling price with the cost price for the [tex]\( \frac{1}{2} \)[/tex] kilo of pallares he sold:
[tex]\[
\text{Cost of } \frac{1}{2} \, \text{kilo} = \frac{1}{2} \, \text{kilo} \times S/ 2.40 \, \text{per kilo} = S/ 1.20
\][/tex]
The revenue Jerónimo earned from selling the [tex]\( \frac{1}{2} \)[/tex] kilo was S/ 0.75.
[tex]\[
\text{Loss per } \frac{1}{2} \, \text{kilo} = \text{Cost} - \text{Revenue} = S/ 1.20 - S/ 0.75 = S/ 0.45
\][/tex]
So, for the [tex]\( \frac{1}{2} \)[/tex] kilo he sold, Jerónimo incurred a loss of S/ 0.45.
4. Summary of Jerónimo's financial outcome:
- Total Cost: S/ 9.12
- Total Revenue from selling [tex]\( \frac{1}{2} \)[/tex] kilo: S/ 0.75
- Loss incurred from selling [tex]\( \frac{1}{2} \)[/tex] kilo: S/ 0.45
Therefore, Jerónimo's overall gain was negative as he incurred a loss of S/ 0.45 from the sale.
