(লিখিত প্রশ্ন) A man spent 1/2 of his money and then lost 1/4 of the remainder. He was left with Tk. 3,600. How much did he start with?
Solution
Correct Answer: Option B
প্রশ্নে বলা হচ্ছে যে, এক লোক তার নিকট থাকা 1/2 অংশ অর্থ ব্যয় করেন এবং বাকি টাকার 1/4 অংশ হারিয়ে ফেলেন। এখন তার নিকট 3,600 টাকা অবশিষ্ট থাকলে প্রথমে তার নিকট কত টাকা ছিল?
Let, He has Tk. 8x
He spent = (1/2) of 8x
= Tk. 4x
Remaining = 8x - 4x= Tk. 4x
He lost = (1/4) of 4x
= Tk. x
Remaining 4x-x = Tk. 3x
According to question,
3x = 3,600
⇒ 1 = 3600/3x
⇒ 8x = (3600 × 8x)/3x
= Tk. 9,600
He started with Tk. 9,600
Let, He has Tk. 8x
He spent = (1/2) of 8x
= Tk. 4x
Remaining = 8x - 4x= Tk. 4x
He lost = (1/4) of 4x
= Tk. x
Remaining 4x-x = Tk. 3x
According to question,
3x = 3,600
⇒ 1 = 3600/3x
⇒ 8x = (3600 × 8x)/3x
= Tk. 9,600
He started with Tk. 9,600
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