An article was sold at a profit of 35% after two successive discounts of 10% and 25%. By what percent was the article marked above the cost price?
Hello Simran,
The question is quite tricky but can be solved just by applying basic concepts of Profit and Discounts.
So, first consider the marked price of article be x.
So, for first condition, 10% discount is given on x. So, total selling price of an article will be,
x - ( 10 % of x) = 0.9 x
Now, for second condition, 25% discount is given on the previous value. So, the total selling price of the article will be,
0.9 x - ( 25% of 0.9 x ) = 0.675 x
Now, the article is sold for the price of 0.675 x.
Given that the total profit is of 35%
Now, the total selling price is inclusive of profit.
So, Selling price = ( Cost Price + Profit) = Cost Price + ( 35 % of Cost Price)
So, Selling Price = y + 0.35 y, where y is the Cost price.
Which means, 0.675 x = 1.35y
So, y = 0.5 x
Now, we have to find that by what percent the article was marked above the cost price.
So, The article was marked by 0.5 times more than the Cost price.
Hence, in terms of percentage, 0.5 x 100 = 50%.
So, the article was marked by 50 % more above the Cost price.
Best wishes.
Related Questions
Trending Articles/News
