Question

If 4000 amounts to 5440 in 3 years,
how much will 9200 amount to in
5 years at the same rate of simple
interest per annum?


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Answer 1

Rs. 9,200 will amount to Rs. 14,566.6 after 5 years at $\frac{35}{3} \%$ rate of interest per annum.

Step-by-step explanation:

First, we need to calculate the rate at which interest is charged on Rs. 4,000.

$Amount = Principal [1+(\frac{Rate*Time}{100})]$

Given:

Principal = Rs. 4,000

Amount = Rs. 5,440

Time: 3 years

Substituting:

$5440 = 4000 [1+(\frac{Rate*3}{100})]$

$\frac{5440}{4000} = 1+ (\frac{Rate*3}{100})$

$1.35 - 1 = \frac{Rate*3}{100}$

$Rate = \frac{35}{3} \%\ per\ annum$  

Now, to calculate the amount:

$Amount = Principal [1+(\frac{Rate*Time}{100})]$

$Amount = 9200 [1+(\frac{35*5}{3*100})]$

$Amount = 9200 * 1.583\\Amount = Rs. 14,566.6$

At  $\frac{35}{3}\%$ rate, Rs. 9,200 will amount to Rs. 14,566.6

Answer 2

Answer=14,720

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