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09 Oct 2018, 03:19
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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:
5%
(low)
Question Stats:
100% (00:34) correct
0%
(00:00)
wrong
based on 45
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By what percent was the price of a smartphone increased?
(1) The price of the smartphone was increased by $40.
(2) The price of the smartphone after the increase was $400.
(1) The price of the smartphone was increased by $40.
(2) The price of the smartphone after the increase was $400.
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09 Oct 2018, 03:31
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Bunuel
percentage increase = ( Change in price/ old price ) * 100
1- price increased by 40
let the original price be X
new price is X+40
Percentage increase = (40/X)*100 we can't get value out of it.
Statement -1 Not Sufficient
2- new price =400
Old price= X
percentage increase = (400-X/X)*100 we can't get value out of it.
statement-2 not sufficient
Combining Statement 1 and 2:-
New price = 400
Price increased by = 40
Old price = 400-40 = 360
Hence, percentage increase = (40/360)*100 | we got a value
Correct answer should be - C
Give Kudos, if it helped.
09 Oct 2018, 05:29
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Bunuel
we want to know the percentage change = \(\frac{New - old}{old} *100\)
1)
Say the old price was a
the new price will be a+40
\(\frac{a+40 - a}{a} = \frac{40}{a}\) this will depend on the value of a, if it is 80 then 50% increase, if a is 100 then it is 40% increase.
Insufficient
2) we are given that a+increase = 400
\(\frac{400 - a}{a}\) it does not provide information on the old value.
Combine (1) and (2)
We get \(a + 40 = 400\)
a = 360
\(\frac{400 - 360}{360} = \frac{40}{360} = \frac{1}{9}*100 = 11.11\)
Answer choice C.
