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Updated on: 12 Aug 2018, 23:35
Originally posted by EgmatQuantExpert on 13 Jun 2018, 04:12.
Last edited by EgmatQuantExpert on 12 Aug 2018, 23:35, edited 2 times in total.
Last edited by EgmatQuantExpert on 12 Aug 2018, 23:35, edited 2 times in total.
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E
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Difficulty:
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85% (02:08) correct
15%
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3 Major Concerns Students Face in Solving Percentage Problems - Exercise Question #2
The value of a share was 25% less in the 2nd quarter over the 1st quarter, and 20% more in the 3rd quarter over the 2nd quarter. What should be the percentage change in the value from 3rd to 4th quarter, if the percentage increase of the value from 1st to 4th quarter is 20%?
To solve question 3: Question 3
To read the article: 3 Major Concerns Students Face in Solving Percentage Problems
The value of a share was 25% less in the 2nd quarter over the 1st quarter, and 20% more in the 3rd quarter over the 2nd quarter. What should be the percentage change in the value from 3rd to 4th quarter, if the percentage increase of the value from 1st to 4th quarter is 20%?
- A. -33.3%
B. -20%
C. 0
D. +20%
E. +33.3%
To solve question 3: Question 3
To read the article: 3 Major Concerns Students Face in Solving Percentage Problems
13 Jun 2018, 04:43
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1st quarter ---> x and assume x=100
2nd quarter ---> 0.75*100=75
3rd quarter ---> 75*1.2=90
4th quarter ---> 1.2*100=120
The difference betw 3rd and 4th quarters is 30. the increase from 3rd to 4th will be (30/90)*100
In My opinion
Ans: E
2nd quarter ---> 0.75*100=75
3rd quarter ---> 75*1.2=90
4th quarter ---> 1.2*100=120
The difference betw 3rd and 4th quarters is 30. the increase from 3rd to 4th will be (30/90)*100
In My opinion
Ans: E
13 Jun 2018, 04:52
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EgmatQuantExpert
Let the share cost be $100 in the first quarter.
Since there is a 25% reduction in the price of the share from the 1st quarter to the
2nd quarter, the cost of the share will be 0.75*100 = $75.
In the 3rd quarter, there is a 20% increase, the cost of the share is 1.2*$75 = $90.
For the share to be 20% costlier in the 4rth qtr when compared to the 3rd quarter,
the share must be 1.2*$100 or $120. There must be a $30 increase in the cost.
Therefore, the percentage increase from the 3rd quarter to the 4th quarter is \(\frac{$30}{$90} * 100\) = +33.3%(Option E)
