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5.A VCR and TV were bought for ₹ 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss per cent on the whole transaction.
Answer :

Given, Cost price of VCR=₹ 8,000.
And Loss=4%

∴ \(SP=CP\; (1-\frac{loss}{100}\))

\(\Rightarrow SP=8000\; (1-\frac{4}{100}\))

\(\Rightarrow SP=8000\;\times (\frac{96}{100}\))

\(\Rightarrow SP=₹\; 7,680\)

Also given that, Cost price of TV=₹ 8,000

And profit=8%

∴ \(SP=CP\; (1+\frac{Profit}{100}\))

\(\Rightarrow SP=8000\; (1+\frac{8}{100}\))

\(\Rightarrow SP=8000\;\times (\frac{108}{100}\))

\(\Rightarrow SP=₹\; 8,640\)

So we have total SP=₹ 8,640 +₹ 7,680=₹ 16,320

So we have total SP=₹ 8000 + ₹ 8000 =₹ 16,000

Therefore, Profit=SP-CP

=₹ 16,320- ₹ 16,000

=₹ 320

∴ Profit % on the whole transaction=\(\frac{Profit}{Total\; CP}\times100\)

\(\qquad = \frac{320}{16000}\times 100 =2\)%

Hence, the shopkeeper gained 2% profit on the whole transaction.