Subject
Quantitative Aptitude
Topic
Profit & Loss
A dishonest merchant makes a 15% profit at the time of buying and a 10% loss at the time of selling the goods. By doing so if the said merchant made a profit of Tk 3500 on a particular item, what was the real cost of the item sold?
A dishonest merchant makes a 15% profit at the time of buying and a 10% loss at the time of selling the goods. By doing so if the said merchant made a profit of Tk 3500 on a particular item, what was the real cost of the item sold?
ক)
80,000খ)
90,000গ)
95,000ঘ)
1,00,000Explanation
একজন অসৎ ব্যবসায়ী ক্রয়ের সময় 15% লাভ এবং বিক্রয়ের সময় 10% ক্ষতি করে। এই প্রক্রিয়ায় তিনি 3500 টাকা লাভ করেছেন। আমাদের বের করতে হবে পণ্যটির আসল দাম কত ছিল। ধরি, পণ্যটির আসল দাম = x টাকা ক্রয়ের সময় 15% লাভ করা মানে, তিনি x টাকার পণ্য কিনেছেন কিন্তু দেখিয়েছেন যে তিনি x + 0.15x = 1.15x টাকা দিয়েছেন। বিক্রয়ের সময় 10% ক্ষতি করা মানে, তিনি পণ্যটি বিক্রি করেছেন 0.9 × 1.15x = 1.035x টাকায়। তার লাভ = বিক্রয়মূল্য - ক্রয়মূল্য = 1.035x - x = 0.035x টাকা আমরা জানি, এই লাভ 3500 টাকা। সুতরাং: 0.035x = 3500 x = 3500 ÷ 0.035 = 100,000 টাকা অতএব, পণ্যটির আসল দাম ছিল 1,00,000 টাকা।Related questions
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