The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount.

Created: 7 years ago | Updated: 1 year ago

Updated: 1 year ago

Tk. 4,500

Tk. 7,500

Tk. 5,000

Tk. 6,000

National Bank Ltd National Bank Ltd - Probationary Officer - 22.05.2015 গণিত সরল ও যৌগিক মুনাফা (Simple & Compound interest)

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1.5k

Best Ans:

প্রশ্ন: The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount.

 $I_{1} = p n r = p \times 2 \times \frac{5}{1200} = \frac{p}{10}$ 
 $c = p {(1 + \frac{5}{100})}^{2} = 1.1025 p$ 
 $I_{2} = 1.1.25 p - p = 0.1025 p$  
শর্তমতে,  $0.1025 p - \frac{p}{10} = 15$ 
 $\Rightarrow 0.1025 p = 150$ 
 $∴ p = 6000$