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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?

Sagot :

DubuChewyidn

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