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A 30% discount reduces the price of a commodity by $90. If the

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A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post Updated on: 17 May 2017, 08:17
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A
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C
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E

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Question Stats:

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A 30% discount reduces the price of a commodity by $90. If the discount is reduced to 20%, then the price of the commodity will be

(A) $180
(B) $210
(C) $240
(D) $270
(E) $300

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Originally posted by rohan2345 on 17 May 2017, 07:07.
Last edited by Bunuel on 17 May 2017, 08:17, edited 1 time in total.
Renamed the topic.
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Re: A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post 17 May 2017, 07:59
30%of x=90
x=300
20% of 300=60
Hence price = 240
Answer is C

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Re: A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post 17 May 2017, 08:23
rohan2345 wrote:
A 30% discount reduces the price of a commodity by $90. If the discount is reduced to 20%, then the price of the commodity will be

(A) $180
(B) $210
(C) $240
(D) $270
(E) $300


30% reduction = $ 90
1% reduction = $ 3
100% reduction = $ 300

Quote:
If the discount is reduced to 20%, then the price of the commodity will be


\(\frac{80}{100}*300\)

\(= 240\)

Thus, the correct answer must be (C) $240
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A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post Updated on: 21 May 2017, 03:22
Here lets backsolve it from the options given to us.

Whenever backsolving always take the middle option C first because we will be knowing whether we have to go upward(for smaller values when compared to C) or downward (for larger values when compared to C).

Here 240 is the value mentioned in the option C.

0.8*X = 240 .

X = 300.

A 30% discount on the original amount reduces the price of the commodity by $90 which is true in this case.

Therefore the answer is option C.

The trap answer here would be 300 which is option E. If you have neglected the second part of the question so be cautious of it. :)
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Originally posted by Kritesh on 17 May 2017, 08:39.
Last edited by Kritesh on 21 May 2017, 03:22, edited 1 time in total.
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A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post 18 May 2017, 12:11
A 30% discount reduces the price of a commodity by $90. If the discount is reduced to 20%, then the price of the commodity will be

(A) $180
(B) $210
(C) $240
(D) $270
(E) $300

Let the price of commodity be x.
30% discount (30% discount = 70% of x) reduces price by $90 = x - 90
Therefore ;
70% of x = \(\frac{70}{100}\) * x = x - 90
0.7x = x - 90
0.3x = 90
x = \(\frac{90}{0.3}\) = 300

Discount is reduced to 20% = 80% of 300 = \(\frac{80}{100}\) X 300 = $240
Answer C...

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A 30% discount reduces the price of a commodity by $90. If the  [#permalink]

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New post 05 Aug 2018, 04:44
1
30% = 90
10% = 30

Since, we want to know the price after a 20% discount:
100% - 20% = 80%.
80% = 30*8 = 240.
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A 30% discount reduces the price of a commodity by $90. If the &nbs [#permalink] 05 Aug 2018, 04:44
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