The price of sugar increases by 32%. A family reduces its consumption so that expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month is approximately-
A. 8.33 kg
B. 8.5 kg
C. 8.35 kg
D. 8.73 kg
সঠিক উত্তরঃ
A.
8.33 kg
Explanation:
Another Explanation (5): ```html
চিনির মূল্যবৃদ্ধি ও ব্যবহার: একটি বিশ্লেষণ 📈
চিনির দাম ৩২% বৃদ্ধি পাওয়ায় একটি পরিবার তাদের ব্যবহার কমিয়ে দেয়। এতে চিনি বাবদ তাদের খরচ ১০% বেড়েছে। দাম বাড়ার আগে যদি ওই পরিবারের মাসিক চিনির ব্যবহার ১০ কেজি হয়, তবে বর্তমানে তাদের মাসিক চিনির ব্যবহার প্রায় ৮.৩৩ কেজি। নিচে বিষয়টির বিস্তারিত বিশ্লেষণ দেওয়া হলো:
সমস্যাটির বিশ্লেষণ:
- প্রাথমিক অবস্থা: পূর্বে চিনির ব্যবহার = ১০ কেজি/মাস 🍬
- মূল্যবৃদ্ধি: চিনির দাম বৃদ্ধি = ৩২% 💰
- খরচের পরিবর্তন: চিনি বাবদ খরচ বৃদ্ধি = ১০% 💸
- নির্ণয় করতে হবে: বর্তমান চিনির ব্যবহার = ? কেজি/মাস 🤔
সমাধানের ধাপ:
- ধরি, পূর্বে চিনির দাম ছিল ১০০ টাকা/কেজি।
- দাম ৩২% বাড়ার পর চিনির নতুন দাম = ১৩২ টাকা/কেজি।
- পূর্বে চিনি বাবদ খরচ হতো (১০০ টাকা/কেজি * ১০ কেজি) = ১০০০ টাকা।
- বর্তমানে চিনি বাবদ খরচ হয় (১০০০ টাকা + (১০০০ টাকার ১০%)) = ১১০০ টাকা।
- সুতরাং, বর্তমান চিনির ব্যবহার = (মোট খরচ / নতুন দাম) = (১১০০ / ১৩২) = ৮.৩৩ কেজি (প্রায়)।
ফলাফল:
অতএব, দাম বাড়ার পরে পরিবারটির মাসিক চিনির ব্যবহার প্রায় ৮.৩৩ কেজি। 🎉
গণিতের ভাষায় উপস্থাপন:
| বিষয় | পূর্বের অবস্থা | বর্তমান অবস্থা |
|---|---|---|
| দাম (টাকা/কেজি) | ১০০ | ১৩২ (১০০ + ৩২%) |
| ব্যবহার (কেজি) | ১০ | x (ধরি) |
| মোট খরচ (টাকা) | ১০০০ | ১১০০ (১০০০ + ১০%) |
এখানে, ১৩২ * x = ১১০০
সুতরাং, x = ১১০০ / ১৩২ = ৮.৩৩ কেজি (প্রায়) ✅
আশা করি, এই ব্যাখ্যাটি আপনার বোধগম্য হয়েছে। 🙏
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