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# Maths Question

An article is now sold at 20% discount.There is a further discount of 10%,what is the overall discount percent.

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### 4 Answers

- ?Lv 41 decade agoFavorite Answer
let the original cost of that thing is A,

Sold at 20% discount:

The new cost = A x (1 - 0.2) = 0.8A

There is a further discount of 10%:

The newest cost = 0.8A x (1 - 0.1)

= 0.8A x 0.9 = 0.72A = A x 72%

100% - 72% = 28%

So, the overall discount percent = 28%

Source(s): 事實 - 喪笑的猩猩Lv 51 decade ago
設 the article be $ A :

A(1-20%) x (1-10%) / A

= 0.72A / A

=0.72

so overall discount percent is 18%

sorry .... is so be 28 % but not 18 % : ( 1-0.72) x 100 %

2008-01-07 16:38:52 補充：

20% 10%= 30%*the word further means addition or( ) from the 20%; therefore it is 30%

2008-01-07 16:39:09 補充：

let the original cost of that thing is A,Sold at 20% discount:The new cost = A x (1 - 0.2) = 0.8AThere is a further discount of 10%:The newest cost = 0.8A x (1 - 0.1) = 0.8A x 0.9 = 0.72A = A x 72%100% - 72% = 28%So, the overall discount percent = 28%

- 1 decade ago
設 the article be $ A :

A(1-20%) x (1-10%) / A

= 0.72A / A

=0.72

so overall discount percent is 18%

2008-01-07 16:09:00 補充：

sorry .... is so be 28 % but not 18 % : ( 1-0.72) x 100 %

- 1 decade ago
20% + 10%= 30%

*the word further means addition or(+) from the 20%; therefore it is 30%

Source(s): self