Three article are bought at ₹180 each. On of them is sold at a loss of 10%. If the other two articles are sold so as to gain 25% on the whole transaction,then what is the gain percentage on the two articles?

Given, Cost price of each article = ₹180

Total Cost Price (CP) of 3 articles = $$180\times\ 3=₹540$$

Given Gain % on whole transaction = 20%

i.e; Selling price of all 3 articles = $$540\times\ \left(\frac{25}{100}+540\right)=₹675$$

Selling price of first article which is sold at a loss of 10% = $$180-\left(180\times\ \frac{10}{100}\right)=₹162$$

Selling price of remaining two articles = 675 - 162 = ₹513

Cost price of remaining two articles = $$180\times\ 2=₹360$$

Profit % = $$\frac{profit}{Cost\ price}\times\ 100$$

= $$\frac{\left(675-513\right)}{360}\times\ 100=42.5\%$$

Hence, Option B is correct