after giving two successive discount each of x percent on the Marked price of an article total discount is 259. 20 rupees if the Marked price of an article is 720 Rupees then the value of x is
Answers
Answer:
18
Step-by-step explanation:
Marked price of the item = 720 Rs.
x% discount = 720x/100 Rs.
Another x% discount on marked price = 720x/100 Rs.
Total Discount = 2×720(x/100) = 259.2
or, 720(x/100) = 129.6
or, (x/100) = 0.18
or, x = 18
Answer:
After giving two successive discount each of x percent on the Marked price of an article total discount is 259. 20 rupees. If the Marked price of an article is 720 Rupees then the value of x is 20%
The discount x, is 20%
Step-by-step explanation:
Successive Discount is given by the following formula:
If the first discount is x% and 2nd discount is y% then ,
Total discount = ( x + y - xy / 100 ) %
In this case, the both the first and second discount is x, therefore the formula will be:
( x + y - xy / 100 ) %
= ( x + x - x(x)/100)%
= (2x -x²)/100 %
This is the successive discount.
Therefore: (2x -x²)/100 % of 720 = 259.2
⇒ (2x -x²/100) × 1/100 × 720 = 259.2
⇒ 2x -x²/100 = 259.2 ×100/720
⇒ 2x - x²/100 = 36
⇒ 200x - x² = 3600
⇒ x² - 200x + 3600 = 0
Solve using product sum method:
x² - 200x + 3600 = 0
x² - 180x - 20x + 3600 = 0
x(x -180) - 20( x - 180) =
( x - 180) (x - 20) = 0
Therefore; x -180 = 0 or x - 20 = 0
Therefore x = 180 or 20
Therefore the discount is either 180% or 20%. If the discount was 180%, it would be a loss, therefore x = 20%
x = 20%