Nishat bought two old cars for TK. 18,000 in total . By selling one at a profit of 25% and the other at a loss of 20%, she stays at a break-even. What was the cost price of each car ?
A. Tk. 8,000 and Tk. 10,000
B. Tk. 11,000 and Tk. 7,000
C. Tk. 9,000 and Tk. 9,000
D. Tk. 12,000 and Tk. 6,000
সঠিক উত্তরঃ
A.
Tk. 8,000 and Tk. 10,000
Another Explanation (5): ```html
নিশাতের পুরাতন গাড়ি🤝
নিশাত দুটি পুরাতন গাড়ি কিনেছিল।🚗🚕
মোট খরচ: ১৮,০০০ টাকা।💰
গাড়ির ক্রয়-বিক্রয় তথ্য
- প্রথম গাড়ি: ২৫% লাভে বিক্রয়📈
- দ্বিতীয় গাড়ি: ২০% ক্ষতিতে বিক্রয়📉
- ফলাফল: ব্রেক-ইভেন (লাভ-ক্ষতি নেই)⚖️
গাড়ির মূল্য তালিকা
| গাড়ির বিবরণ | ক্রয়মূল্য (টাকা) |
|---|---|
| প্রথম গাড়ি 🚗 | ৮,০০০ |
| দ্বিতীয় গাড়ি 🚕 | ১০,০০০ |
গণিত 🧮
ধরি, প্রথম গাড়ির ক্রয়মূল্য ক এবং দ্বিতীয় গাড়ির ক্রয়মূল্য খ।
তাহলে, ক + খ = ১৮,০০০
প্রথম গাড়িতে লাভ = ক * ২৫% = ০.২৫ক
দ্বিতীয় গাড়িতে ক্ষতি = খ * ২০% = ০.২খ
যেহেতু ব্রেক-ইভেন, তাই ০.২৫ক = ০.২খ
এই সমীকরণ সমাধান করে ক = ৮,০০০ এবং খ = ১০,০০০ পাওয়া যায়।✔️
ফলাফল 🎉
অতএব, প্রথম গাড়ির ক্রয়মূল্য ৮,০০০ টাকা এবং দ্বিতীয় গাড়ির ক্রয়মূল্য ১০,০০০ টাকা।💯
ধন্যবাদ 😊!
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