An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Tk. 200 of his share to Q. the ratio among P, Q and R becomes 3:10:3 respectively. What was the total amount in taka?
A. 3,200
B. 3,500
C. 5,200
D. 6,400
Explanation: মনে করি, শুরুতে P, Q এবং R এর কাছে যথাক্রমে \(6x\), \(19x\) এবং \(7x\) টাকা ছিলো। R যখন Q কে 200 taka দেয়, তখন P, Q এবং R এর টাকার পরিমাণ হয় যথাক্রমে \(6x\), \(19x+200\) এবং \(7x-200\). নতুন অনুপাত \(6x : (19x+200) : (7x-200) = 3:10:3\). \(6x : 7x-200 = 3:3 \Rightarrow 6x = 7x-200 \Rightarrow x = 200\). Total amount \(= 6x + 19x + 7x = 32x = 32\times200 = 6,400\).
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