MAT Exam 2025 Paper

Concept:Compare all prices against Gopal's price, then find the percentage difference between Dino and Gopal.Explanation:Let Gopal's price be $100$.Vishwas sells $20\%$ cheaper than Gopal, so:$$100 - 20\% \text{ of } 100 = 100 - 20 = 80$$Thus, Vishwas's price is $80$.Vishwas sells $20\%$ costlier than Dino.Let Dino's price be $x$.$$x + 20\% \text{ of } x = 1.2x$$Given that Vishwas's price is $80$:$$1.2x = 80$$$$x = \frac{80}{1.2} = 66.67$$So, Dino's price is $66.67$.Now, Dino's goods are cheaper than Gopal's goods by:$$\frac{100 - 66.67}{100} \times 100 = 33.33\%$$This equals $33\frac{1}{3}\%$.Answer:Option B: $33\frac{1}{3}\%$