A man sold two radios at Rs. 4800 each. On one he gains 20% and on the another he loses 20% . Find the gain or loss percent in the whole transaction.

SP of first Radio = Rs. 4800

Gain% on first radio = 20%

The gain or loss percent in the whole transaction.

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.

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80%

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