Question

An artcle is sold at two succesive discounts of 50% each.Find the single equivalent discounts as percent​

Answer 1

Step-by-step explanation:

Let the original pcrice bex

After 1st discount =x-50% of x

=x -50/100x

=x-1/2x

=1/2x

After 2nd discount =1/2x-50% of 1/2x

=1/2x-1/4x

=1/4x

total discount=x-1/4x

=3/4x

single discount =(3/4x)÷x ×100

= 3/4×100

= 75%

like it

Answer 2

Answer:

75%

Step-by-step explanation:

consider the required single equivalent discount as x%

consider rs 100 is the price of article

reduced price = Rs 100 - x% of Rs 100

= Rs (100- x/100 × 100)

= Rs (100-x)

when first discount 50% is taken , then

reduced price = Rs (100-50/100 × 100)

= Rs ( 100-50)

= Rs 50

when second discount 50% is taken, then

reduced price = Rs (50- 50/100× 100)

= Rs ( 50-25)

= Rs 25

from the above condition,

100 - x = 25

x = 100-25

x = 75%