This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Step 1: Calculate the principal amount (x) using the compound interest information. Kajal invested x at a compound interest rate of 5\% per annum for 2 years and 146 days. The total interest received was Rs. 9964. First, convert the time into years: 2 years and 146 days = 2 + (146)/(365) years. Since 146 = 2 × 73 and 365 = 5 × 73, we have (146)/(365) = (2)/(5) = 0.4 years. So, the total time is 2.4 years. For compound interest with a fractional period, the amount A is calculated as: A = P (1 + (R)/(100))^whole years (1 + R × fractional part of year100) Here, P = x, R = 5\%, whole years = 2, and fractional part of year = (146)/(365). A = x (1 + (5)/(100))^2 (1 + (5)/(100) × (146)/(365)) A = x ((105)/(100))^2 (1 + (1)/(20) × (2)/(5)) A = x ((21)/(20))^2 (1 + (2)/(100)) A = x ((441)/(400)) (1 + (1)/(50)) A = x ((441)/(400)) ((51)/(50)) A = x (441 × 51)/(400 × 50) = x (22491)/(20000) The compound interest (CI) is A - P. We are given that CI = Rs. 9964. CI = x (22491)/(20000) - x = 9964 x ((22491 - 20000)/(20000)) = 9964 x ((2491)/(20000)) = 9964 x = (9964 × 20000)/(2491) Since 9964 ÷ 2491 = 4: x = 4 × 20000 = 80000 So, the principal amount x is Rs. 80,000. Step 2: Calculate the simple interest. Now, we need to find how much interest Kajal could earn if she invested x amount (Rs. 80,000) on simple interest at 10\% per annum for 2 years. Principal P = Rs. 80000 Rate R = 10\% Time T = 2 years The formula for simple interest (SI) is: SI = (P × R × T)/(100) SI = (80000 × 10 × 2)/(100) SI = 800 × 10 × 2 SI = 8000 × 2 SI = 16000 The simple interest earned would be Rs. 16,000. Comparing this with the given options: (a) 16,000 (b) 15,000 (c) 14,000 (d) 20,000 The correct option is (a). The final answer is 16,000. Send me the next one 📸