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# The manufacturer of Sleep-EZ mattresses is offering

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Intern
Joined: 14 Jul 2014
Posts: 13
Concentration: Operations, Marketing
WE: Consulting (Computer Software)
The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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15 Aug 2016, 04:50
2
00:00

Difficulty:

5% (low)

Question Stats:

93% (01:06) correct 7% (01:17) wrong based on 138 sessions

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The manufacturer of tyres is offering a 10% discount on the price
of its tubeless tyres. Some retailers are offering additional discounts. If a
retailer offers an additional 20% discount, then what is the total discount available
at that retailer?

○○ 10%
○○ 25%
○○ 28%
○○ 30%
○○ 35%
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Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3631
Re: The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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15 Aug 2016, 06:19
anurag7mukharya wrote:
The manufacturer of tyres is offering a 10% discount on the price
of its tubeless tyres. Some retailers are offering additional discounts. If a
retailer offers an additional 20% discount, then what is the total discount available
at that retailer?

○○ 10%
○○ 25%
○○ 28%
○○ 30%
○○ 35%

Let the current retail price = 100.

1st discount = 10%. Hence New price = 90.

2nd discount = 20% on New price., Hence, Final price = 90-18 = 72.

Hence, Net discount on the original price is 28%. Hence, C
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Re: The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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15 Aug 2016, 07:00
Top Contributor
anurag7mukharya wrote:
The manufacturer of tyres is offering a 10% discount on the price
of its tubeless tyres. Some retailers are offering additional discounts. If a
retailer offers an additional 20% discount, then what is the total discount available
at that retailer?

○○ 10%
○○ 25%
○○ 28%
○○ 30%
○○ 35%

If we REDUCE a price by 10%, then the reduced price is 90% of the original price.
Likewise, if we REDUCE a price by 20%, then the reduced price is 80% of the original price.
If we REDUCE a price by 30%, then the reduced price is 70% of the original price.
.....etc.
----------------------------------

Let \$100 be the original price.
So, a 10% reduction means the new price = (0.9)(100) = \$90
A further 20% reduction means the new price = (0.8)(0.9)(100) = \$72
This represents a \$28 discount off the original \$100
28/100 = 28%

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Re: The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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18 Aug 2016, 03:48
Two methods to solve this one =>
Let CP be x => SP=x[1-10/100][1-20/100]=72x/100
discount amount = x=72x/100=28x/100
Discount percent = discount/CP *100 = 28%
Smash that C

Method 2 =>
Let CP=100
SP=100[1-10/100][1-20/100]=72
hence Discount = 28
Discount percent = 28%
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Joined: 15 Mar 2015
Posts: 111
Re: The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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18 Aug 2016, 04:42
1
Discount = 1-0.9*0.8=1-0.72=0.28=28%

This is an example in the lower range that wants to trick people into forgetting about the joint effect of the two discounts and thus simply adding them to get 30%.
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Re: The manufacturer of Sleep-EZ mattresses is offering  [#permalink]

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26 Jan 2019, 15:58
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Re: The manufacturer of Sleep-EZ mattresses is offering   [#permalink] 26 Jan 2019, 15:58
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