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: Calculate the number of people in each category. Total people in the colony = 60. • Only Bengali speakers = 10 • Only Assamese speakers = 5 • Hindi and Odia speakers = 10 • Marathi and Hindi speakers = 12 • English, Tamil, and Marathi speakers = 13 • Assamese and Hindi speakers = 5 Step 2: Calculate the number of remaining people. Sum of people in known categories = 10 + 5 + 10 + 12 + 13 + 5 = 55. The remaining people speak both Bengali and Hindi. Remaining people = Total people - Sum of known categories Remaining people = 60 - 55 = 5. So, Bengali and Hindi speakers = 5. Step 3: Calculate the total number of Bengali speakers. Bengali speakers include those who speak only Bengali and those who speak Bengali and Hindi. Total Bengali speakers = (Only Bengali speakers) + (Bengali and Hindi speakers) Total Bengali speakers = 10 + 5 = 15. Step 4: Calculate the total number of Marathi speakers. Marathi speakers include those who speak Marathi and Hindi, and those who speak English, Tamil, and Marathi. Total Marathi speakers = (Marathi and Hindi speakers) + (English, Tamil, and Marathi speakers) Total Marathi speakers = 12 + 13 = 25. Step 5: Determine the ratio of Bengali speakers to Marathi speakers. Ratio = (Total Bengali speakers) : (Total Marathi speakers) Ratio = 15 : 25. Step 6: Simplify the ratio. Divide both numbers by their greatest common divisor, which is 5. Ratio = (15)/(5) : (25)/(5) = 3 : 5. The ratio of Bengali speakers to Marathi speakers is 3 : 5. The correct option is (D). D Drop the next question 📸