Question

A man bought an article and sold that a gain of 10% if he had bought it 20% less and sold it for ₹ 10 more he would have made a profit of 40% the cost price of the article is

Answer 1

let cost price of artical is x
so sale price of artical is
$s = p( \frac{100 + r}{100} )$s= x110/100= 11x/10
now if cost less than 20%
than p= x80/100=4x/5
and sold 10Rs more than s = (11x/10) + 10
and gain 40% so again
(4x/5)(140/100)=(11x/10)+10
or (4x/5)(7/5)-(11x/10)=10
or (56x-55x)/50=10
or x/50=10
or x= 500 this is the cost price of an article.