যদি 9,375 টাকার একটি অর্থ 8% বার্ষিক চক্রবৃদ্ধি সুদের হারে ছয়মাস অন্তর চক্রবৃদ্ধি গণনা করা হয়, তাহলে এক বছর পরে কত পরিমান পাওয়া যাবে?

This question was previously asked in
RRB Group D Previous Year Paper (Held on: 26 Aug 2022 Shift 2)
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  1. 10,140 টাকা 
  2. 10,220 টাকা 
  3. 10,300 টাকা 
  4. 10,430 টাকা 

Answer (Detailed Solution Below)

Option 1 : 10,140 টাকা 
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Detailed Solution

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প্রদত্ত:

আসল (P) = 9,375 টাকা

হার (r) = বার্ষিক 8%

সময় (t) = 1 বছর

চক্রবৃদ্ধির আবৃত্তি = অর্ধ-বার্ষিক 

অনুসৃত সূত্র:

A = P\((1+\frac{r/n}{100})^{nt}\)

যেখানে,

n = প্রতি বছরে চক্রবৃদ্ধির সংখ্যা

t = বছরে সময়

গণনা:

A = 9375\((1+\frac{8/2}{100})^{2 \times 1}\)

⇒ A = 9375\((1+\frac{4}{100})^{2}\)

⇒ A = 9375\((1+0.04)^{2}\)

⇒ A = 9375\((1.04)^{2}\)

⇒ A = 9375 × 1.0816

⇒ A = 10140

∴ সঠিক উত্তরটি হলো বিকল্প (1)

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