What is the single discount that is equivalent to two successive discount of 12% and 20

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Find the single discount which is equivalent to two successive discounts of 20% and 5%

Solution

$\text{Let M.P.=Rs.100}\text{First discount}=20\%\text{and second discount}=5\%\therefore S.P.=\frac{M.P.(100-1stdiscount\%)}{100}\times \frac{(100-2nddiscount\%)}{100}=\frac{100(100-20)(100-5)}{100\times 100}=Rs.\frac{100\times 80\times 95}{100\times 100}=Rs.76\therefore \text{Total discount}=Rs.100-Rs.76=Rs.24\therefore \text{Single discount}=\frac{24\times 100}{M.P.}=\frac{24\times 100}{100}=24\%Ans.$

Mathematics

Secondary School Mathematics VIII

Standard VIII