A sells an article to B at a loss of 20%, B sells it to C at a profit of 12.5% and sells it to D at a loss of 8%. If D buys it for ₹248.40, then what is the difference between the loss incurred by A and C?

₹38.40

According to the given data,

Let A buy an article = 100 unit,

A sell the article to B = 100 × (\(\frac{80}{100}\) ) = 80 unit

B sell the article to C = 80 × (\(\frac{9}{8}\)) = 90 unit

C buy the article = 90 unit

C sell the article to D = 90 × (\(\frac{92}{100}\)) = 82.8 unit

D buy the article = 82.8 unit

Loss of A = 100 – 80 = 20 unit

Loss of C = 90 – 82.8 = 7.2 unit

Difference of loss A and C = 20 – 7.2 = 12.8 unit

= 82.8 unit = Rs. 248.40

= 1 unit = 248.40/82.8 = Rs. 3

= 12.8 unit = Rs. 3 × 12.8 = 38.40