A nut seller bought 15 kgs of cashew nuts at Php 215.00 per kilogram and 12 kgs of pili nuts at Php 336.00 per kilogram. how kuch per kilogram should the nuts be sold for the nut seller to gain a profit of 18%?
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A nut seller bought 15 kgs of cashew nuts at Php 215.00 per kilogram and 12 kgs of pili nuts at Php
Answer:
To calculate the selling price per kilogram for the nut seller to gain a profit of 18%, we need to consider the cost price and the desired profit margin.
Let's calculate the total cost of the cashew nuts:
Cost of cashew nuts = 15 kg * Php 215.00/kg = Php 3,225.00
Next, let's calculate the total cost of the pili nuts:
Cost of pili nuts = 12 kg * Php 336.00/kg = Php 4,032.00
Now, let's calculate the total cost of both types of nuts:
Total cost = Cost of cashew nuts + Cost of pili nuts
Total cost = Php 3,225.00 + Php 4,032.00 = Php 7,257.00
To calculate the desired profit, we need to find 18% of the total cost:
Desired profit = 18% * Total cost
Desired profit = 0.18 * Php 7,257.00 = Php 1,306.26
The selling price per kilogram should be the cost price per kilogram plus the desired profit per kilogram.
For the cashew nuts:
Selling price per kilogram of cashew nuts = Php 215.00 + (Php 1,306.26 / 15 kg) ≈ Php 299.08/kg
For the pili nuts:
Selling price per kilogram of pili nuts = Php 336.00 + (Php 1,306.26 / 12 kg) ≈ Php 442.19/kg
Therefore, the nuts should be sold for approximately Php 299.08 per kilogram for cashew nuts and Php 442.19 per kilogram for pili nuts for the nut seller to gain a profit of 18%.
I hope this helps! Let me know if you have any further questions.