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- Standard 13
- Quantitative Aptitude
An article is listed at $Rs.\,65.$ A customer bought this article for $Rs.\, 56.16$ and received two successive discounts of which one is $10 \% .$ Find out the other discount in this discount scheme offered by the shopkeeper. (in $Rs.$)
$4$
$3$
$6$
None of these
Solution
Marked price of the article $=₹ 65 .$
Selling price of the article $=₹ 56.16$ $\therefore \quad$
Discount $=65-56.16=₹ 8.84$
$\therefore \quad$ Discount $\%=\frac{8.84 \times 100}{65}=13.6 \%$
The first discount in the offered discount series is $10 \%$
Let, the second discount of the series be $m \%$.
$\therefore \quad$ single discount $\%=\left(m+n-\frac{m n}{100}\right) \%$
or, $13.6 \%=\left(m+10-\frac{10 m}{100}\right) \%$
or, $13.6=m+10-\frac{m}{10}$
or, $136=100+10 m-m$ or, $9 m=36$
or, $m=4 \%$
