High School

Rose bought green mangoes at P50 per kilo and sold them at 4 for P35. If she sold 20 kilos and there is an average of 7 mangoes per kilo, about how much did she gain?

Answer :

Answer:

P = 225 P profit on 20 kilos of mangoes

Values:

Mangoes sold: [tex]20*7=140\\[/tex]

Cost paid for each mango: [tex]\frac{50}{7}[/tex]

Price each melon sold for: [tex]\frac{35}{4}[/tex]

Step-by-step explanation:

1. Substitute given values; [tex]P = 140(\frac{35}{4} - \frac{50}{7})[/tex]

2. Find common denominator: [tex]P=140(\frac{245}{28}-\frac{200}{28} )[/tex]

3. Subtract equation in parentheses: [tex]P=140(\frac{45}{28} )\\[/tex]

4. Divide [tex]140\\[/tex] by [tex]28[/tex] to remove denominator; [tex]P=5(45)[/tex]

5. Solve equation: [tex]P=225[/tex]

Rose gained P225 from the sale of the green mangoes, where she bought mangoes at P50 per kilo, sold 20 kilos with 7 mangoes per kilo on average, at a selling price of 4 for P35.

To calculate Rose's gain from the sale of the green mangoes, we first need to determine her total cost and total revenue. Rose bought mangoes at P50 per kilo and sold them at 4 for P35. With an average of 7 mangoes per kilo, she would have 140 mangoes in 20 kilos. Selling them at 4 for P35 means she sold each set of 4 mangoes for P35.

Therefore, selling 140 mangoes would be 35 sets of 4 mangoes.

Her total cost is the purchasing price times the amount she bought (20 kilos), which equals P1,000 (20 x P50).

Her total revenue from selling 35 sets of 4 mangoes would be P1,225 (35 sets x P35).

Her gain is found by subtracting the total cost from the total revenue, which would be P225 (P1,225 - P1,000).