This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define variables and set up equations. Let M be the maximum marks for the examination. Let P be the minimum required marks to pass the examination. According to the problem, Shubhendu scores 25% of M and fails by 30 marks. This means his score is P - 30. 0.25M = P - 30 (1) Another candidate scores 50% of M and gets 20 marks more than the minimum required marks. This means his score is P + 20. 0.50M = P + 20 (2) Step 2: Express P in terms of M from both equations. From equation (1): P = 0.25M + 30 From equation (2): P = 0.50M - 20 Step 3: Equate the expressions for P and solve for M. Since both expressions equal P, we can set them equal to each other: 0.25M + 30 = 0.50M - 20 Step 4: Isolate M. Subtract 0.25M from both sides: 30 = 0.25M - 20 Add 20 to both sides: 30 + 20 = 0.25M 50 = 0.25M Divide by 0.25: M = (50)/(0.25) M = 50 × 4 M = 200 The maximum marks for the examination is 200. The final answer is 200. Send me the next one 📸