Revisit
Question #9
The price of an article becomes Rs 63 after a decrease of
30%. Find the original price (in Rs.)
Choose the best option
100
96
90
80
Answers
Given,
The price of an article becomes Rs 63 after a decrease of 30%.
To find,
The original price of the article.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that the original price of the article is Rs. x.
Mathematically,
p% of a number A is calculated as follows;
(p/100)×A
{Statement-1}
Now, according to the question;
The total decrease in the original price of the article
= 30% of the original price
= 30% of x
= 30/100 × x
{according to statement-1}
= 3x/10
Now, according to the question;
(original price of the article) - (total decrease in the original price of the article) = (final price of the article)
=> Rs. x - Rs. 3x/10 = Rs. 63
=> (10x-3x)/10 = 63
=> 7x = 630
=> x = 90
=> original price of the article = Rs. 90
Have, the original price of the article is equal to Rs. 90.