Given:
SP of first Radio = Rs. 4800
Gain% on first radio = 20%
Find:
The gain or loss percent in the whole transaction.
Solution:
We know that,
CP = (100/100 + gain% ) * SP
Hence,
⟹ CP of first Radio = (100/100 + 20) * 4800
⟹ CP of first Radio = 100 * 4800/120
⟹ CP of first Radio = Rs. 4000
Similarly,
SP = (100 - loss%/100) * CP
⟹ 4800 = (100 - 20/100) * CP of second Radio
⟹ 4800 * 100/80 = CP of second Radio
⟹ Rs.6000 = CP of second Radio
Now,
Total SP of radios = 4800 + 4800 = Rs. 9600
Total CP of radios = 4000 + 6000 = Rs. 10000.
We observe that,
CP > SP
So, a loss is occured.
⟹ Loss = CP - SP
⟹ Loss = 10000 - 9600
⟹ Loss = Rs. 400
Now,
Loss% = (Loss/CP) * 100
⟹ Loss% = 400/10000 * 100
⟹ Loss% = 4%
∴ The loss occurred in the whole transaction is 4 %.
I hope it will help you.
Regards.