# The single discount equivalent to two successive discount 10% and 20% will be

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$\textrm{Let’s assume cost price is 100 rs.}$

$\textrm{First discount is 10%,$\implies\frac{100*10}{100}=10rs.$}$

$\textrm{so now new cost price is :100-10=90rs}$

$\textrm{now 20% discount on 90rs:$\implies\frac{90*20}{100}=18rs.$}$

$\textrm{new cost price is:$90-18=72rs$}$

$\therefore$ $\textrm{Total discount is (10+18)%=28%}$
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28 %
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