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If Manohar pays an interest of Rs 750 for 2 years on a sum ofRs 4,500, find the rate of interest.
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## QuestionMathsClass 7

If Manohar pays an interest of Rs 750 for 2 years on a sum ofRs 4,500, find the rate of interest.

## Answer

let rate of interest be x$$\%$$

I=$$\frac{{{P}\times{R}\times{T}}}{{100}}$$

$${750}=\frac{{{4500}\cdot{R}\cdot{2}}}{{{100}}}$$

$${R}=\frac{{{750}\cdot{100}}}{{{4500}\cdot{2}}}=\frac{{750}}{{90}}$$

$$=\frac{{75}}{{9}}=\frac{{25}}{{3}}$$

interest of 2 yrs $$={750}{r}{s}$$

interest of 1 year $$=\frac{{750}}{{2}}={375}{r}{s}$$

interest = $${x}\%$$of principal amount

$$=\frac{{{4500}\times{x}}}{{100}}={45}{x}$$

$${45}{x}={375}$$

$${x}=\frac{{375}}{{45}}$$

$${x}=\frac{{25}}{{3}}$$

Rate of interest = $$\frac{{25}}{{3}}\%$$

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