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If principal amounts double in 10 years,...

If principal amounts double in `10` years, then the rate of yearly simple interest is

A

`5%`

B

`10%`

C

`15%`

D

`20%`

Text Solution

Verified by Experts

Let the principal be `Rs x` and the yearly rate of simple interest be `r%`
If the principal amounts `Rs 2x` in `10` years,
then the interest `=Rs(2x-x)=Rs x`
`:.` Total interest in `10` years `=(P rt)/(100)=Rs(x xx rxx10)/(100)=Rs(x r)/(10)`
`:.(xr)/(10)=ximpliesr=(x xx10)/(x)=10`
`:.` Rate of yearly simple interest `=10%`
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