Math, asked by dipanshee6875, 11 months ago

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

Answered by sonuvuce
8

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

Answered by santy2
16

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%

     

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