Answer:
Profit percentage
.
Explanation:
Given: A garment dealer buys goods for
and spend
on freight. He seeks the entire stock for
.
To find: His loss/profit percentage.
Solution:
We have,
Cost price of goods
![=\text{Rs.}\:10,000](https://img.qammunity.org/2022/formulas/mathematics/high-school/fobjig53cgqpeofo13wnajkf1g77m1cwy8.png)
Spent on freight
![=\text{Rs.}\:800](https://img.qammunity.org/2022/formulas/mathematics/high-school/lcfqfm7ijk2f88dg1c0k6eempw5fuouvfl.png)
So, total cost of goods
![=\text{Rs.}\:10000+\text{Rs.}\:800=\text{Rs.}\:10,800](https://img.qammunity.org/2022/formulas/mathematics/high-school/30cw4o5381dr4mjf491sc80whbpl2znp81.png)
Selling price of entire stock
![=\text{Rs.}\: 12,960.](https://img.qammunity.org/2022/formulas/mathematics/high-school/6gy1zdvcs5rpb44q089t1t3jacexl55vfg.png)
Now, Profit
![=\text{Selling price}-\text{Cost price}](https://img.qammunity.org/2022/formulas/mathematics/high-school/23f2cmue4tmh0z8wujznl7luv7y61eprc2.png)
So, Profit
![=\text{Rs.}\:12, 960-\text{Rs.}\:10,800=\text{Rs.}\:2160](https://img.qammunity.org/2022/formulas/mathematics/high-school/n46dmtq94ndu0wm54xwoa9e0u6s6q14pv1.png)
Now,
![\text{Profit\:\%}= \frac{\text{Profit}}{\text{Cost price}} * 100\%](https://img.qammunity.org/2022/formulas/mathematics/high-school/2huvdbro1xzwet7m9uorwuoc5cdi0b2r76.png)
![\implies\text{Profit\:\%}= \frac{2160}{\text{10,800}} * 100\%](https://img.qammunity.org/2022/formulas/mathematics/high-school/v8rf2igp5alix6zsn1ckdyh7p09v3otwpo.png)
![\implies\text{Profit\:\%}= (2160)/(108)\%](https://img.qammunity.org/2022/formulas/mathematics/high-school/j4r5shg84nydwysnq8773lvyxrqojk1ejv.png)
![\implies\text{Profit\:\%}= 20\%](https://img.qammunity.org/2022/formulas/mathematics/high-school/3dwe2gd0qmy3bn2oq4vd72s5r10c1lgen6.png)
Hence, profit percentage
.