Bar Charts Questions Answers

A soft drink company prepares drinks of three different flavours X, Y and Z. The production of the three flavours over a period of six years has been expressed in the form of bar graph below. Study the bar graph and answer the question based on graph.

Bar Graph Question for Data Interpretation of Quantitative Aptitude 5

  • 1. For which year the percent (rise/fall) in production from the previous year is the maximum for the flavour Y?

    1. 1996
    2. 1997
    3. 1998
    4. 1999
    Answer :

    Option B

    Explanation:

    The percentage rise/fall in production from the previous year for flavour Y during previous years are :
    \begin{aligned}
    \text{In 1996 =}\left[ \frac{60-55}{55}*100 \right]\
    % \\
    = 9.09 \%\\

    \text{In 1997 =}\left[ \frac{60-50}{60}*100 \right]\
    % \\
    = 16.67 \%\\

    \text{In 1998 =}\left[ \frac{55-50}{55}*100 \right]\
    % \\
    = 9.09 \%\\

    \text{In 1999 =}\left[ \frac{55-50}{55}*100 \right]\
    % \\
    = 9.09 \%\\
    \end{aligned}
    So maximum fall is in 1997

  • 2. For which flavour was the average annual production maximum in given period of time ?

    1. Z
    2. X
    3. Y
    4. X and Z
    Answer :

    Option C

    Explanation:

    Average annual productions over the given period for various flavours are :
    \begin{aligned}
    \text{For X =}\frac{1}{6}(50+40+55+45+60+50) \\
    = 50 \text{lakh bottles} \\

    \text{For Y =}\frac{1}{6}(55+60+50+55+50+55) \\
    = 54.17 \text{lakh bottles} \\

    \text{For Z =}\frac{1}{6}(45+50+60+60+45+40) \\
    = 50 \text{lakh bottles} \\

    \end{aligned}
    So Maximum average is for Y

  • 3. The total production of flavour Z in 1997 and 1998 is what percent of the total production of flavour X in 1995 and 1996 ?

    1. 125.33%
    2. 128.33%
    3. 131.33%
    4. 133.33%
    Answer :

    Option D

    Explanation:

    Required Percentage will be
    \begin{aligned}
    \frac{60+60}{50+40}*100 \% \\
    = \frac{120}{90}*100 \% \\
    = 133.33 \%
    \end{aligned}

  • 4. What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of the flavour Y in 1998, 1999 and 2000 ?

    1. 50,000 bottels
    2. 55,000 bottels
    3. 1,000,00 bottels
    4. 1,100,00 bottels
    Answer :

    Option C

    Explanation:

    Average production of flavour X in 1995, 1996 and 1998 is
    \begin{aligned}
    \left[ \frac{1}{3}*(50+40+55) \right] \\
    = \frac{145}{3} \text{lakh bottels} \\
    \end{aligned}
    Average production of flavour Y in 1998, 1999 and 2000 is
    \begin{aligned}
    \left[ \frac{1}{3}*(55+50+55) \right] \\
    = \frac{160}{3} \text{lakh bottels} \\
    Difference = \frac{160}{3} - \frac{145}{3} \\
    = \frac{15}{3} = 5 \\
    \end{aligned}
    So it will be 5 lakh bottels, which is 500000 bottels

  • 5. What was the approximate decline in the production of flavour Z in 2000 as compared to production in 1998 ?

    1. 30%
    2. 31%
    3. 32%
    4. 33%
    Answer :

    Option D

    Explanation:

    Percentage decline in the production of the flavour Z in 2000 as compared to production in 1998 will be
    \begin{aligned}
    = \left[ \frac{(60-40)}{60}*100 \right]\\
    = 33.33 \%
    \end{aligned}
    Which is approximately equal to 33%

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