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21 Aug 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
60% (01:53) correct
40%
(02:17)
wrong
based on 144
sessions
History
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Time
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Not Attempted Yet
A shopkeeper decreased the price of an item by p percent and then again increased it by q percent. If q is an odd perfect cube between 1 and 100, what the original price of the item?
(1) p is 10 percent of q.
(2) The price of the item after p percent decrease is $1946.
(1) p is 10 percent of q.
(2) The price of the item after p percent decrease is $1946.
21 Aug 2024, 02:28
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The only odd perfect cube between 1 and 100 is: \(3^3 = 27\)
(1) p is 10 percent of q.
From this one knows that p is \(2.7\)
Without further information it is impossible to solve for the original price of the item.
INSUFFICIENT
(2) The price of the item after p percent decrease is $1946.
While the statement provides the final price of the item, one needs the value of p to solve for the original price of the item.
INSUFFICIENT
(1+2)
Together, one has the values of p, q and the final price of the item. With this information one can solve for the original price.
SUFFICIENT
Working out:
Let the original price = \(x\)
\(x*(1-0.027)*(1+0.27)= 1946\)
\(x*(0.973)*(1.27)= 1946\)
\(x = 1574.80\)
ANSWER C
(1) p is 10 percent of q.
From this one knows that p is \(2.7\)
Without further information it is impossible to solve for the original price of the item.
INSUFFICIENT
(2) The price of the item after p percent decrease is $1946.
While the statement provides the final price of the item, one needs the value of p to solve for the original price of the item.
INSUFFICIENT
(1+2)
Together, one has the values of p, q and the final price of the item. With this information one can solve for the original price.
SUFFICIENT
Working out:
Let the original price = \(x\)
\(x*(1-0.027)*(1+0.27)= 1946\)
\(x*(0.973)*(1.27)= 1946\)
\(x = 1574.80\)
ANSWER C
21 Aug 2024, 04:11
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Nidzo
well question doesn't explicitly mentioned that we should included/exclude both 1 and 100 from given range. So we are not sure because q can be 1 as well.
Next
Quote:
The given amount is not final amount. It is an intermediate amount after p% decrease and after that amount increased by q% and that is our final amount.
I think answer should be E as there are 2 Possibilities for values of q and from statement 1 there will be 2 possibilities for values of p.
