Question

A VCR and TV were brought for $Rs.8000$ each. The shopkeeper made a loss of $4\%$ on the VCR and a profit of $8\%$ on the TV . Find his gain or loss per cent on the whole transaction.

Answer 1

Given:
Cost price(CP) of each article = $Rs.8000$
Profit of on TV = $8\%$
Loss of on VCR = $4\%$
Now, C.P of TV = $Rs.8000$

$\therefore$ Profit on TV = Cost price $\times$ Profit $\%$

= $8\%\text{of}8000$

= $8000\times \left(\frac{8}{100}\right)$

= $80\times 8$

= $Rs.640$

C.P of VCR = $Rs.8000$

Loss on VCR = Cost price $\times$ Loss $\%$

= $4\%\text{of}8000$

= $8000\times \left(\frac{4}{100}\right)$

= $80\times 4$

= $Rs.320$

Since profit is more than loss,

Hence, the shopkeeper gains net profit

Net Profit = $640-320=Rs.320$

Now,

Total cost Price of both article =$8000+8000=Rs.16000$

Profit $\%$ = $\frac{\text{Profit}}{\text{CP}}\times 100$

= $\frac{320}{16000)}\times 100$

= $\frac{32}{16}$

= $2\%$

Hence, the gain in the whole transaction = $2\%$.