A trader sells two articles for ₹9520 each, one at a profit of 12% and the other at a loss of 15%. His overall percentage loss (correct to one decimal place) is:

A trader sells two articles for ₹9520 each, one at a profit of 12% and the other at a loss of 15%.

The cost price of first article = $$\frac{9520}{112}\times\ 100$$

= $$\frac{9520}{112}\times\ 100$$

= ₹8500

The cost price of second article = $$\frac{9520}{100-15}\times\ 100$$

= $$\frac{9520}{85}\times\ 100$$

= ₹11200

Total cost price = ₹8500+₹11200 = ₹19700

Total selling price = ₹9520+₹9520 = ₹19040

loss percentage = $$\frac{19700-19040}{19700}\times\ 100$$

= $$\frac{660}{19700}\times\ 100$$

= 3.35%

= 3.4% approx.