Question

find the single discount which is equivalent to two succesive discount of 20% and 5%

Answer 1

Here is the answer to your question.

 
​Let the marked price of the article be Rs 100.
First discount = 20%
Price after the first discount = (100 − 20) = Rs 80
Second discount = 5% of 80
                            =5100×80=Rs 4
Price after the second discount = (80 − 4) = Rs 76
Net selling price = Rs 76
∴ Single discount equivalent to the given successive discounts = (100 − 76)% = 24%

Answer 2

Given

Two successive discounts are 20% and 5%

Shortcut

X+y- xy/100

Where x in first discount and y is second discount

=20+5-(20x5)/100

=25-100/100

=25-1=24%

Or u can use this one also

Let a number 100

Now allowing discount of 20% we get

=100-20% of 100(i.e 20)

=100-20

=80

The number become 80 after 20% discount
Now again allowing discount of 5% on 80

We get

=80-4

=76

So total discount

=100-76

=24

=24%

This is ur ans hope it will help you in case of any doubt comment below