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Arun borrowed a sum of Rs. 9,000 from Jayanthi at 10% rate of compound interest per annum, compounded annually. Find the total amount paid by Arun aft
Question

Arun borrowed a sum of Rs. 9,000 from Jayanthi at 10% rate of compound interest per annum, compounded annually. Find the total amount paid by Arun after 2 years to clear all dues.

A.

Rs. 10,089

B.

Rs. 10,890

C.

Rs. 10,098

D.

Rs. 10,980

Correct option is B

Given :

P = 9,000 (Principal amount borrowed),

r = 10% (rate if Interest),

t = 2 year (Time Period)

Formula used: 

A = P ( 1 + r100\frac{r}{100} ) t 

A = principle  + interest

P = Principle

Solution: 

​​A=9000(1+10100)2A = 9000 ( 1 + \frac{10}{100})^2 

A=9000(1+0.1)2A = 9000 (1 + 0.1)^2 

A=9000×(1.1)2A = 9000 \times (1.1)^2 

A=9000×1.21A = 9000 \times 1.21 

A=10,890A = 10,890 

The total amount Arun has to pay after 2 years is Rs. 10,890.

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