Respuesta :
Answer:
The Sell Price of the shoe at 5% loss is Rs 304.
The Sell Price of the shoe at 20% profit is Rs 384.
The Total Gain Percent is 12.5% when shoes are sold at Rs.360.
Step-by-step explanation:
Given,
Cost Price(C.P.) of shoe = Rs 320
Case 1.
Loss = 5%
C.P. = Rs 320
Here loss percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.
For this we use the formula of calculating S.P.
[tex]S.P. = \frac{C.P.(100-loss\%)}{100}[/tex]
On substituting the given values, we get;
[tex]S.P. = \frac{320(100-5)}{100}\\\\S.P. =\frac{320\times 95}{100} =\frac{30400}{100} =Rs\ 304[/tex]
The Sell Price of the shoe at 5% loss is Rs 304.
Case 2.
C.P. = Rs 320
Profit = 20%
Here profit percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.
For this we use the formula of calculating S.P.
[tex]S.P. = \frac{C.P.(100+profit\%)}{100}[/tex]
On substituting the given values, we get;
[tex]S.P. = \frac{320(100+20)}{100}\\\\S.P.=\frac{320\times 120}{100}=\frac{38400}{100}=Rs\ 384[/tex]
The Sell Price of the shoe at 20% profit is Rs 384.
Case 3.
C.P. = Rs 320
S.P. = Rs 360
Now we need to find the gain percent.
First we will find the gain.
Gain is the difference of S.P with C.P.
Gain = [tex]360-320 = 40[/tex]
Now Gain Percent can be calculated by dividing gain with the cost price and then multiplying it with 100
Gain Percent = [tex]\frac{40}{320}\times 100 = 12.5\%[/tex]
Hence The Total Gain Percent is 12.5% when shoes are sold at Rs.360.
