The marked price of a trouser and a jacket is in the ratio of 1 : 3. The shopkeeper gives 20 percent discount on the trouser. If the total discount offered on both of them together is 30 percent. Then what is the discount percentage offered on the jacket?

33.33 percent

Ratio of the marked price of a trouser and a jacket = 1 : 3

Discount on trouser = 20%

Total discount on both of them = 30%

Let the MP of trouser and jacket = 5x and 3x

Discount on trouser = 0.2 × 1x = 0.2x

Total discount on both = 0.3 × (1x + 3x) = 1.2x

⇒ Discount on jacket = 1.2x - 0.2x = 1x

Discount% on jacket = (\(\frac{1x}{3x}\) ) × 100 = 33.33%