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Difficulty:
45%
(medium)
Question Stats:
66% (01:54) correct
34%
(02:12)
wrong
based on 671
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A restaurant has set menu for 700$. A 15% VAT has been imposed on the food value. However, the set meal has a discount of 20%. What is the effective discount for the set meal.
a) 17.39%
b) 8%
c) 10%
d) 12%
e) None
I have doubt about the official answer. Can anyone clarify this question ?
Posted from my mobile device
a) 17.39%
b) 8%
c) 10%
d) 12%
e) None
I have doubt about the official answer. Can anyone clarify this question ?
Posted from my mobile device
\(Successive\) \(Percentage\) \(change\) = (\(A+B+\frac{AB}{100}\))%
\(A = 15\)%
\(B = -20\)%
\(Percentage\) \(change\) = (\(15-20-\frac{300}{100}\))% = \((15-20-3)\)% = \(-8\)% (Here, Negative sign means its a discount) (B)
\(A = 15\)%
\(B = -20\)%
\(Percentage\) \(change\) = (\(15-20-\frac{300}{100}\))% = \((15-20-3)\)% = \(-8\)% (Here, Negative sign means its a discount) (B)
Mugdho
This is equivalent to mark-up, discount and profit. Or think of it as successive percentage changes. You are reducing the cost by 20% and increasing by 15%. It doesn't matter in which order you do it. This is similar to saying that there is a mark up of 15% and discount of 20%.
(1 + p/100) = (1 + m/100)*(1 - d/100) = (115/100) * (4/5) = 23/25 = (1 - 2/25) = ( 1 - 8/100)
So the overall impact will be an 8% discount.
Or using successive percentage changes, we can say that what is equivalent to (115/100) * (4/5)? It is 23/25 which is an 8% discount.
Answer (B)
For percentages, check this post:
https://anaprep.com/arithmetic-simple-a ... rcentages/
and this video:
https://youtu.be/HxnsYI1Rws8
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General Discussion
A restaurant has set menu for 700$. A 15% VAT has been imposed on the food value. However, the set meal has a discount of 20%. What is the effective discount for the set meal.
Plz Help me solving this problem.
Posted from my mobile device
Plz Help me solving this problem.
Posted from my mobile device
GMAT695
Joined: 12 Jul 2023
Last visit: 19 Dec 2025
Posts: 542
Location: India
Concentration: Entrepreneurship, Finance
Schools: Stern '27 Fuqua '27 Columbia '27
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Schools: Stern '27 Fuqua '27 Columbia '27
GMAT Focus 3: 635 Q87 V81 DI76
GMAT 1: 420 Q31 V17
Posts: 542
M.Jahid
After the VAT, total amount becomes 805. However, after the discount, total discount becomes 644. Effective change is 8%.
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