Answer:
Profit percentage[tex]=20\%[/tex].
Step-by-step explanation:
Given: A garment dealer buys goods for [tex]\text{Rs.}\:10,000[/tex] and spend [tex]\text{Rs.}\:800[/tex] on freight. He seeks the entire stock for [tex]\text{Rs.}\:12,960[/tex].
To find: His loss/profit percentage.
Solution:
We have,
Cost price of goods [tex]=\text{Rs.}\:10,000[/tex]
Spent on freight [tex]=\text{Rs.}\:800[/tex]
So, total cost of goods[tex]=\text{Rs.}\:10000+\text{Rs.}\:800=\text{Rs.}\:10,800[/tex]
Selling price of entire stock [tex]=\text{Rs.}\: 12,960.[/tex]
Now, Profit [tex]=\text{Selling price}-\text{Cost price}[/tex]
So, Profit [tex]=\text{Rs.}\:12, 960-\text{Rs.}\:10,800=\text{Rs.}\:2160[/tex]
Now,
[tex]\text{Profit\:\%}= \frac{\text{Profit}}{\text{Cost price}} \times 100\%[/tex]
[tex]\implies\text{Profit\:\%}= \frac{2160}{\text{10,800}} \times 100\%[/tex]
[tex]\implies\text{Profit\:\%}= \frac{2160}{108}\%[/tex]
[tex]\implies\text{Profit\:\%}= 20\%[/tex]
Hence, profit percentage [tex]=20\%[/tex].
