SafiaI473622 SafiaI473622
  • 29-10-2022
  • Mathematics
contestada

A sum of money doubles itself in 10 years. Find the rate percent per annum.

Respuesta :

ElaiX789752 ElaiX789752
  • 29-10-2022

Given:

Principal = P

Amount = 2P

Time 10 years

Required:

Rate percent per annum.

Explanation:

The amount is given as,

[tex]A\text{ = P + I}[/tex]

Interest is calculated as,

[tex]\begin{gathered} I\text{ = }\frac{PR\times10}{100} \\ A-P\text{ = }\frac{PR\times10}{100} \\ 2P-P=\frac{PR\times10}{100} \\ \end{gathered}[/tex]

The rate of interest is calculated as,

[tex]\begin{gathered} P\text{ = }\frac{PR}{10} \\ R\text{ = 10} \end{gathered}[/tex]

Answer:

Thus the rate of interest is 10%.

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