An article was marked at ₹x and sold at a discount of (x - 40)%. If the customer paid ₹(x - 32), then find the marked price of the article.
Answer & explanation
Correct answer: option 3
We know that,
SP = MP × (100 - Discount%)/100
According to the question,
MP of the article = Rs. x
Discount % = (x - 40)%
SP of the articles = Rs. (x - 32)
According to the question
(x - 32) = x × (100 - x + 40)/100
= x - 32 = x × (140 - x)/100
= 100x - 3200 = 140x - x2
= x2 - 40x - 3200 = 0
= x2 - 80x + 40x - 3200 = 0
= x (x - 80) + 40 (x - 80) = 0
= (x - 80) (x + 40) = 0
So, x - 80 = 0
= x = 80