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In a colony of 60 people, the language spoken by each person is noted. 10 speak only Bengali, 5 speak only Assamese, 10 speak Hindi and Odia, 12 speak Marathi and Hindi, 13 speak English, Tamil and Ma
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6 stepsCalculate 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
Calculate the number of remaining people.
Sum of people in known categories = .
The remaining people speak both Bengali and Hindi.
Remaining people = Total people - Sum of known categories
Remaining people = .
So, Bengali and Hindi speakers = 5.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 = .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 = .Determine the ratio of Bengali speakers to Marathi speakers.
Ratio = (Total Bengali speakers) : (Total Marathi speakers)
Ratio = $15 : 25$.Simplify the ratio.
Divide both numbers by their greatest common divisor, which is 5.
Ratio = .The ratio of Bengali speakers to Marathi speakers is .
The correct option is (D).
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