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In 2002, the number of students, who participated in a quiz was 15% ..

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In 2002, the number of students, who participated in a quiz was 15% ..  [#permalink]

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New post Updated on: 29 Oct 2018, 23:28
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (02:16) correct 13% (02:28) wrong based on 90 sessions

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In 2002, the number of students, who participated in a quiz was 15% more than the number of students, who participated in 2003. And the number of students, who participated in 2004 was 1200, which is 20% less than the number of students, who participated in the year 2003. How many students had participated in the year 2002?
    A. 850
    B. 1150
    C. 1275
    D. 1500
    E. 1725

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Originally posted by EgmatQuantExpert on 09 Oct 2018, 04:13.
Last edited by EgmatQuantExpert on 29 Oct 2018, 23:28, edited 1 time in total.
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Re: In 2002, the number of students, who participated in a quiz was 15% ..  [#permalink]

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New post 09 Oct 2018, 05:01
EgmatQuantExpert wrote:
In 2002, the number of students, who participated in a quiz was 15% more than the number of students, who participated in 2003. And the number of students, who participated in 2004 was 1200, which is 20% less than the number of students, who participated in the year 2003. How many students had participated in the year 2002?
    A. 850
    B. 1150
    C. 1275
    D. 1500
    E. 1725

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2004- ———-1200——2003——1200/0.8=1500
2002———1500*1.15=1725

Answer E


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Re: In 2002, the number of students, who participated in a quiz was 15% ..  [#permalink]

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New post 11 Oct 2018, 04:36

Solution


Given:
    • The number of students, who participated in the quiz, in 2004 = 1200
    • The number of students, who participated in the quiz, in 2004 is 20% less than the number of students, who participated in the quiz, in 2003
    • The number of students, who participated in the quiz, in 2002 is 15% more than the number of students, who participated in the quiz, in 2003

To find:
    • The number of students, who participated in the year 2002

Approach and Working:
The number of students, who participated in the quiz, in 2004 = the number of students, who participated in the quiz, in 2003 – \(\frac{20}{100}\) * the number of students, who participated in the quiz, in 2003
    • Implies, 1200 = 0.8 * (the number of students, who participated in the quiz, in 2003)
    • Thus, the number of students, who participated in the quiz, in 2003 = \(\frac{1200}{0.8} = 1500\)

The number of students, who participated in the quiz, in 2002 = the number of students, who participated in the quiz, in 2003 + \(\frac{15}{100}\) * the number of students, who participated in the quiz, in 2003
    • Implies, the number of students, who participated in the quiz, in 2002 = 1500 + 0.15 * 1500 = 1725.
    • Therefore, the number of students, who participated in the quiz, in 2002 = 1725

Hence, the correct answer is Option E.

Answer: E

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Re: In 2002, the number of students, who participated in a quiz was 15% ..   [#permalink] 11 Oct 2018, 04:36
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