UPTET Paper 2 Math and Science Model Test 1

Concept:For compound interest with different rates each year, the amount is calculated by applying each rate successively to the principal.Explanation:Here, the principal is ₹25,000. The first year rate is 4% and the second year rate is 5%.Use the formula: Amount = Principal × (1 + R₁/100) × (1 + R₂/100).So, Amount = 25000 × (1 + 4/100) × (1 + 5/100).Simplify: (1 + 4/100) = 104/100 = 26/25. (1 + 5/100) = 105/100 = 21/20.Thus, Amount = 25000 × (26/25) × (21/20) = 25000 × (546/500).This simplifies to 50 × 546 = 27300.Shortcut: The effective rate for two years is 4 + 5 + (4×5)/100 = 9.2%. So amount = 109.2% of 25000 = (109.2/100) × 25000 = 109.2 × 250 = ₹27,300.Answer:₹27,300 (Option A)