Question

aman sold 2 radios at rps 4800 eah on one he gains 20 percent on the other loses 20 percentfind gain or loss in whole transaction




please explain​

Answer 1

Answer:

Overall, Aman loses is 4%. His Loss% = 4% or Profit% = -4%

Step-by-step explanation:

We know that:

P% = 100*(Profit)/CP

Where P% = Profit percentage; CP = cost price

Using Profit = SP - CP, where SP = selling price, we get:

P% = 100*[(SP - CP)/CP}

From here, we get:

CP = SP / (1 + (P%/100))

For the first radio,

SP = 4800

P% = 20

CP = 4800/(1+0.2)

     = 4800/(1.2)

     = 4000

Similarly, for the second radio,

SP = 4800

P% = -20

CP = 4800/(1-0.2)

     = 4800/(0.8)

     = 6000

For the overall transaction of two radios

SP = 4800+4800 = 9600

CP = 4000+6000 = 10000

As SP < CP, there is a loss.

Loss = CP - SP

        = 10000 - 9600

        = 400

Loss% = 100*Loss/CP

           = 100*(400)/10000

           =4%

Aman makes a loss of 4% in the overall transaction