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M20-06

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M20-06 [#permalink]

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New post 16 Sep 2014, 01:07
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Question Stats:

86% (00:53) correct 14% (01:52) wrong based on 88 sessions

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Previously, all owners of an Electra card could receive a 6% discount on any item they purchased at an Electra supermarket. If as a result of inflation, however, the price of all items at the Electra supermarket rose by 20% while the dollar amount of the discount did not change for any item, which of the following represents the new discount as a percent of an item's price?

A. 4.0
B. 4.5
C. 4.8
D. 5.0
E. 5.5
[Reveal] Spoiler: OA

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Re M20-06 [#permalink]

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New post 16 Sep 2014, 01:07
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Official Solution:

Previously, all owners of an Electra card could receive a 6% discount on any item they purchased at an Electra supermarket. If as a result of inflation, however, the price of all items at the Electra supermarket rose by 20% while the dollar amount of the discount did not change for any item, which of the following represents the new discount as a percent of an item's price?

A. 4.0
B. 4.5
C. 4.8
D. 5.0
E. 5.5


Say the price of one particular item at the supermarket was $100. So, the discount given on this item was $6.

After the price increase the price of this item is $120 but the discount is still $6, which now is \(\frac{6}{120}*100=5 \%\).


Answer: D
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Kudos [?]: 129048 [1], given: 12187

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Re: M20-06 [#permalink]

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New post 20 Sep 2017, 04:13
Using smart numbers made it fairly easy.

P = 100
Discount = 6% = 6

New Price = 100*1,2 = 120
-> 6/120 = 5%

Cheers.

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Re: M20-06 [#permalink]

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New post 20 Sep 2017, 08:01
let the SP be x (initially) discount= 6%
After discount, SP= .94x Change= .06x
Now, 20% inflation means New SP=1.2x
Question provides that change remains the same = .06x
1.2x-.06x=1.14x
Change percent= (1.2x-1.14x)/1.2x*100= 5 %
Hence ans - D

Kudos [?]: 17 [0], given: 45

Re: M20-06   [#permalink] 20 Sep 2017, 08:01
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