Amit deposited some money in a bank, which pays 15% interest per annum compounded yearly. If the bank provides simple interest instead of compound interest, he receives Tk. 2,400 after 2 years. Find the total amount that he received after 2 years. (Interest)

Shohan

8 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে যে, অমিত 15% হার চক্রবৃদ্ধি সুদে কিছু টাকা ব্যাংকে রাখল। চক্রবৃদ্ধি সুদে পরিবর্তে সরল সুদে টাকা রাখলে 2 বছর পর সে 2,400 টাকা সুদ পেত। 2 বছর পর সে মোট কত পেয়েছিল?

If p be the principal, then we know , $p = \frac{100 \times I}{n \times r}$

$\Rightarrow p = \frac{100 \times 2400}{2 \times 15} = 8000 [I = i n t e r e s t; n = y e a r s; r = r a t e o f i n t e r e s t]$

That man's principal amount is Tk. 8,000.

∴ The compound amount will be, $= p {(1 + \frac{r}{100})}^{n}$

$= 8000 {(1 + \frac{15}{100})}^{2} = 8000 {(1 + \frac{3}{20})}^{2} = 8000 \times \frac{23 \times 23}{20 \times 20} = 10580 T k .$

8 views Answered 2024-12-14 13:31

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