fiend the single dint equvalent to two sucess f discounts of 12% and 8%
Answers
Answer:
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Answer:
Hint: First, we will assume any number on which we will find two successive discounts given. So, we will take the number to be 100. Then by using the formula (x−discount%⋅x)
where x is the number we assumed, we will find first for 20% and then taking x to be the answer we got , on 10%. At last, we will use the same formula where we have to find a discount%. Thus, on solving we will get the answer.
Complete step-by-step answer:
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
Thus, the answer is 28%. Option (a) is the correct answer.
Note: Another method to find successive discounts is by using the formula (x+y−xy100)%
where x, y are discount values. So, by putting values and solving them we get an equation as (20+10−20⋅10100)%
. On further solving, we get as (30−2)%=28%
. Thus, we will get the same answer
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