FINDING PROFIT
Alden went to Bicol and bought 25 packs of pili nuts for Php875 with 10% discount. When he got back to Manila, he sold 15 packs for Php675, and the rest at Php40 each. How much profit did Alden gain?
Step 1: Calculate the original cost before the discount
Let P be the original cost before the discount.
[tex]p×(1−0.10)=875 \\ p×0.90=875 \\ p \times 0.90 = 875p×0.90 \\ =875 \\ p=8750.90p = \frac{875}{0.90} \\ p=0.90875 \\ p=972.22[/tex]
Step 2: Determine the actual cost paid by Alden after the discount
- The problem directly gives this amount, which is Php875.00
Step 3: Calculate the total revenue from selling the 25 packs in Manila
Revenue from selling the remaining 10 packs:
[tex]10 \times 40 = 400[/tex]
Total revenue is
[tex]600 + 400 = 1075[/tex]
Step 4: Compute the profit
[tex]Profit=Total Revenue−Cost[/tex]
[tex]Profit=1075−875[/tex]
[tex]Profit=200[/tex]
So, Alden gained a profit of Php200.00