Question

after giving 2 successive discounts 10% and 15% theS.P of an article is 4896 .find out the list price​

Answer 1

$\fontsize{18}{10}{\textup{\textbf{The required list price of the article is 6400.}}}$

Step-by-step explanation:  Given that after giving two successive discounts of 10% and 15%, the selling price of an article is 7896.

We are to find the list price.

Let x represents the list price of the article.

So, after 10% discount, the price of the article becomes

$P_1=x-10\%\times x=x-\dfrac{x}{10}=\dfrac{9x}{10}.$

After 15% discount on the discounted price, the price of the article becomes

$P_2=\dfrac{9x}{10}-15\%\times\dfrac{9x}{10}=\dfrac{9x}{10}-\dfrac{3}{20}\times\dfrac{9x}{10}=\dfrac{180x-27x}{200}=\dfrac{153x}{200}.$

According to the given information, we get

$\dfrac{153x}{200}=4896\\\\\Rightarrow x=\dfrac{4896\times200}{153}\\\\\Rightarrow x=32\times200\\\\\Rightarrow x=6400.$

Thus, the required list price of the article is 6400.

Learn more :

When a discount of 15% is allowed by the market price of an article it is sold for Rs.2975 calculate its market price given that the market price is 40% above the cost price of the article calculate its cost and the profit in rupees made by the seller of the article.

Link: https://brainly.in/question/7198488.