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Step-by-step explanation:
Given:-
15%. discount occurs on an article on a discounted price again 10% on that article.
To find:-
Find the total percentage of discount on the article?
Solution:-
Let the Original price of the article =X
First discount on it=15%
=>15% of the price
=>15%(X)
=>(15/100)(X)
=>15X/100
=>3X/20
Now Price after discount of the article
=>X-(3X/20)
=>(20X-3X)/20
=>17X/20
And the second discount on it=10%
=>10% of (17X/20)
=>(10/100)(17X/20)
=>(17X/20)(1/10)
=>17X/200
Now the price after the second discount
=>(17X/20)-(17X/200)
=>(17X)(10-1)/200
=>17X(9/200)
=>153X/200
Now
=>(153/2)X/100
=>75.6X/100
=>75.6/100of X
The total percentage of discount=
=>1-75.6/100
=>(100-75.6)/100
=>24.4/100
=>24.4%
Answer:-
Total discount on it=24.4%
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