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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
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koala wrote:
The answer should be D as
1. 25% decrease = 75% price of an item
2. z% decrease = 1-z/100 price of an item
and finally product of 1 and 2


If the answer would be D you had a decrease of 75% and NOT 25%
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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
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In these kinds of questions, it is always safe to assume numbers.

Let's say the initial price \(= 100\) & \(z = 20\)

decreasing by \(25\)% so the price \(= 75\)

Now, decreasing the new price by \(z\)%\( = 20\)%

Final price \(= (1 - \frac{20}{100})*75 = 60\)

Now, we have the final price \(= 60\) and in the question, it is asked that \(60\) is equivalent to reducing the initial price by how much? In our case, it will be \(40\)% You can put \(z = 20\) and the answer with \(40\) is correct.

Answer A
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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
rx10 wrote:
In these kinds of questions, it is always safe to assume numbers.

Let's say the initial price \(= 100\) & \(z = 20\)

decreasing by \(25\)% so the price \(= 75\)

Now, decreasing the new price by \(z\)%\( = 20\)%

Final price \(= (1 - \frac{20}{100})*75 = 60\)

Now, we have the final price \(= 60\) and in the question, it is asked that \(60\) is equivalent to reducing the initial price by how much? In our case, it will be \(40\)% You can put \(z = 20\) and the answer with \(40\) is correct.

Answer A


I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.
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Decreasing the original price of an item by 25% and then decreasing th [#permalink]
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Sir,

What you did was like you multiplied the discounted prices. This can be seen as a problem with successive discounts.

Let's say if we are given a successive discount of x% & y% for a certain product, the final discount will be \((x + y - \frac{xy}{100})\)% but not \(xy\)%

koala wrote:

I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.
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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
rx10 wrote:
Sir,

What you did was like you multiplied the discounted prices. This can be seen as a problem with successive discounts.

Let's say if we are given a successive discount of x% & y% for a certain product, the final discount will be \((x + y - \frac{xy}{100})\)% but not \(xy\)%

koala wrote:

I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.


Sir, I didn't understand this explanation. Please guide.

With your assusmptions only, if the price is 100, and 25% disc is applied, then the new price is 75. The z% disc is applied. So, new price = (1-z/100) * 75
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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
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Decreasing the original price of an item by 25%...................is equivalent to decreasing the original price by

It is 0.25. Because you are decreasing by 25% so the decrease is 25. 75 on the other hand is the end result.

By the question is asking you the decreasing. the unit in terms of % when you go from 100 to 75 and this gap is 25%
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Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
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