28 A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.
Answer:
Let the C.P. be Rs,x.
First S.P. = 125% of x = 125/100x = 5x/4;
2nd S.P. = 80% of x = 80/100x = 4x/5
2nd S.P. = 130% of 4x/5 = [130/100 * 4x/5] = 26x/25
=> 5x/4 - 26x/25 = 10.50
=> 21x/100 = 10.50 =>x=[10.50 * 100 / 21] => 50
Hence, C.P. = Rs. 50
