UGC NET Paper I 18 June 2024 Shift 2 Cancelled Paper

Concept:Profit and loss calculations based on given conditions. Verify each statement using standard formulas.Explanation:Statement A:Cost price = $\frac{4}{5}X$. Selling price = $X + 0.05X = 1.05X$.Gain = $1.05X - 0.8X = 0.25X$. Gain % = $\frac{0.25X}{0.8X} \times 100 = 31.25\% \neq 25\%$.So Statement A is false.Statement B:Cost of 900 g = $0.9C$. Sells at price of 1 kg = $C$.Gain = $C - 0.9C = 0.1C$. Gain % = $\frac{0.1C}{0.9C} \times 100 = 11\frac{1}{9}\%$. Correct.Statement C:Loss = $\frac{1}{3}S$. Cost price = $S + \frac{1}{3}S = \frac{4}{3}S$.Loss % = $\frac{\frac{1}{3}S}{\frac{4}{3}S} \times 100 = 25\%$. Correct.Statement D:Let SP of 1 pen = $S$, CP = $C$. Total SP = $100S$, gain = $20S$.Total CP = $100S - 20S = 80S$. Gain % = $\frac{20S}{80S} \times 100 = 25\% \neq 20\%$. False.Only statements B and C are correct.Answer:B and C only (Option B)