# 2) a bicycle with marked price Rs 1200 was sold at Rs 960 . find the rate of discount allowed on the bicycle .

Please find below the solution to the asked query:

Given : Bicycle with marked price Rs 1200 was sold at Rs 960 .

Let, The rate of discount allowed on the bicycle =

*x*% So

1200 -

*x*% of 1200 = 960

$\Rightarrow 1200-\frac{1200x}{100}=960\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow 1200-12x=960\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow 12x=1200-960\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow 12x=240\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{240}{12}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathbf{\Rightarrow}\mathit{x}\mathbf{}\mathbf{=}\mathbf{20}$

Therefore,

**The rate of discount allowed on the bicycle = 20 % ( Ans )**

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