A person sold an article at a loss of 12 %. Had he sold it for ₹162 more, he would have gained 24 %. If the article is sold for ₹360 then the loss percent is:

Let's assume the cost price of the article is ₹100y.

A person sold an article at a loss of 12 %. Had he sold it for ₹162 more, he would have gained 24 %.

100y of (100-12)% + 162 = 100y of (100+24)%

100y of 88% + 162 = 100y of 124%

88y + 162 = 124y

124y - 88y = 162

36y = 162

y = 4.5

100y = 450

If the article is sold for ₹360 then the loss percent = $$\frac{\left(450-360\right)\times100}{450}$$

= $$\frac{90\times100}{450}$$

= 20%