• # question_answer An article is listed at Rs 65. A customer bought this article for Rs 56.16 and got two successive discounts of which one is 10%. Find the other discount of this discount scheme that was allowed by the shopkeeper. A)  4%                   B)         3%                   C)  6%                   D)         None of these

List price of the article = Rs 65 Selling price of the article = Rs 56.16 $\therefore$   Discount =65-56.16= Rs 8. 84 $\therefore$ Discount per cent $=\frac{8.84\times 100}{65}=13.6%$ The first discount of the given discount series is 10%. At the second discount of the series be m%. $\therefore$ Single discount per cent $=\,\left( m+n-\frac{mn}{100} \right)%$ $\Rightarrow$   $136%=\,\left( m+10-\frac{10m}{100} \right)%$ $\Rightarrow$   $13.6=m+10-\frac{m}{10}$ $\Rightarrow$   $136=100+10m-m$ $\Rightarrow$   $9m=36$ $\therefore$      $m=4%$