Question

what single discount will be equivalent to two successive discounts of 18% and 9 percent​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

Here, we will first assume any number of which will find the two successive discounts. So, we will assume that number to be 100.

Now, 20% discount on 100 will be given as (x−discount%⋅x)

where x is 100 in this case. So, using this we will get as

(100−20100⋅100)=100−20=80

Now, again we will find a 10% discount on 80. So, we will get as

(80−10100⋅80)=80−8=72

Thus, successive discounts i.e. 20% and 10% on 100 is 72.

So, now we will see how much percent of 100 is equal to 72. So, here the formula used will be (x−discount%⋅x)

where we have to find a discount%. So, we will get as

100−y100100=72

On solving, we will get as

100−72=y

28=y