Subject
Quantitative Aptitude
Topic
Profit & Loss
A, B, and C start a partnership. A invests one-third of the capital, C invests as much as A and B together. If the total profit is Tk. 19,800, how much does B get?
A, B, and C start a partnership. A invests one-third of the capital, C invests as much as A and B together. If the total profit is Tk. 19,800, how much does B get?
ক)
3300 Tk.খ)
6600 Tk.গ)
4950 Tk.ঘ)
9900 Tk.Explanation
ধরি, মোট পুঁজি = x টাকা সুতরাং, A এর বিনিয়োগ = x/3 টাকা B এর বিনিয়োগ = ধরি y টাকা C এর বিনিয়োগ = (A + B) এর বিনিয়োগ = x/3 + y টাকা এখন, x/3 + y + (x/3 + y) = x বা, x/3 + y + x/3 + y = x বা, 2x/3 + 2y = x বা, 2y = x - 2x/3 বা, 2y = x/3 বা, y = x/6 সুতরাং, A এর বিনিয়োগ = x/3 B এর বিনিয়োগ = x/6 C এর বিনিয়োগ = x/3 + x/6 = x/2 তাহলে, A : B : C = x/3 : x/6 : x/2 = 1/3 : 1/6 : 1/2 = 2 : 1 : 3 (৬ দিয়ে গুণ করে) মোট অনুপাত = 2 + 1 + 3 = 6 B এর অংশ = (1/6) × ১৯,৮০০ = ৩,৩০০ টাকাRelated questions
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