The male population of a village increases by 10% every year from 2017 to 2019 and the female population increases by 25% every year from 2017 to 2019. If the total population of the village in 2019 becomes 27020 and the ratio of male to the female population in 2017 was 3 : 2, then what was the total population of the village in 2017?
Created: 01 Mar 2026 |
Updated: 4 days ago
Updated: 4 days ago
Explanation:
Given: The male population of a village increases by 10% every year from 2017 to 2019 and the female population increases by 25% every year from 2017 to 2019. If the total population of the village in 2019 becomes 27020 and the ratio of male to the female population in 2017 was 3 : 2 Calculation: Let male and female population in 2017 be ‘300x’ and ‘200x’ respectively. Total male population % increase in 2 years = 10 + 10 + 100/100 = 21% After two years it increased by = 100 + 21 = 121% Total female population % increase in 2 years = 25 + 25 + 625/100 = 56.25% Male population in 2019 = 300x × (121/100)2 = (300x × 1.21)2 = 439.23x Female population in 2019 = 200x × (1.5625)2 = 488.28x According to the question, 439.23x + 488.28x = 27020 ⇒ 927.51x = 29.13 ≈ 29 Total population of village in 2017 = 300x + 200x = 500x = 500 × 29 = 14500 ∴ total population of village in 2017 was 14500.
বাংলা সাহিত্য ও ব্যাকরণ হলো বাংলা ভাষার দুটি অবিচ্ছেদ্য অঙ্গ। বাংলা সাহিত্য হলো বাংলা ভাষায় রচিত কবিতা, উপন্যাস, নাটক, গল্পসহ সৃজনশীল ও মননশীল রচনার সমষ্টি, যার সূচনা দশম শতাব্দীতে 'চর্যাপদ' এর মাধ্যমে। অন্যদিকে, বাংলা ব্যাকরণ হলো এমন একটি শাস্ত্র বা বিজ্ঞান, যা বাংলা ভাষার গঠন, প্রকৃতি, ধ্বনি, শব্দ ও বাক্যের নিয়ম-কানুন বিশ্লেষণ করে ভাষার শুদ্ধ রূপ ও প্রয়োগ শেখায়।
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