Comprehension

An ice-cream company prepare three different flavours X, Y, and Z. The production of the three flavours over a period of six years has been expressed in the bar graph provided below.
Production of three different flavours of ice-creams X, Y, and Z by a Company over the years Production of three different flavours of ice-creams X, Y, and Z bIn lakh

Question: 1

For which of the following years the percentage of rise/fall production from the previous year is the maximum for the flavour Y?

Updated On: Sep 23, 2024
  • 2007 Decrease
  • 2008 Increase
  • 2009 Decrease
  • 2010 Increase
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The Correct Option is A

Solution and Explanation

The percentage rise/fall in production from the previous year for flavor Y during various years are:

In 2006 = 60 - \(\frac{55}{55}\)\(\times\) 100 = 9.09 \(\%\) increase

In 2007 = 60 - \(\frac{50}{60}\)\(\times\) 100 = 16.67\(\%\) decrease

In 2008 = 55 - \(\frac{50}{50}\)\(\times\)100 = 10\(\%\) increase

In 2009 = 55 - \(\frac{50}{50}\)\(\times\)100 = 9.09\(\%\) decrease

In 2010 = 55 - \(\frac{50}{50}\)\(\times\) 100 = 10\(\%\) increase

Therefore, Maximum change is decrease of 16.67\(\%\) during 2007.So the correct option is (A)

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Question: 2

For which flavour was the average annual production maximum in the given period?

Updated On: Sep 23, 2024
  • For X
  • For Y
  • For Z
  • Both for X and Y
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The Correct Option is B

Solution and Explanation

Average annual productions over the given period for various flavours are:

For Flavour X = [\(\frac{1}{6}\times\)(50+40+55+45+60+50)] = 50 lakh

For Flavour Y = [\(\frac{1}{6}\times\)(55+60+55+50+50+55)] = 54.17

lakh For flavour Z = [\(\frac{1}{6}\times\)(45+50+60+60+45+40)= 50 lakh

Maximum average production is for Flavour Y.So the correct option is (B)

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Question: 3

What is the difference between the average production of flavour X in 2005, 2006 and 2007 and the average production of flavour Y in 2008, 2009 and 2010?

Updated On: Sep 23, 2024
  • 500000
  • 25000
  • 240000
  • 80000
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The Correct Option is A

Solution and Explanation

Average production of flavour X in 2005, 2006 and 2007 =

\(\frac{1}{3}\times\)(50+40+55)

\(=\frac{145}{3}\) lakh

Average production of flavour Y in 2008, 2009 and 2010 =

\(\frac{1}{3}\times\)(55+50+55)

\(=\frac{160}{3}\)lakh

Difference \(=\frac{160}{3}-\frac{145}{3}=\frac{15}{3}\)

= 5 lakh
= 500000.
So the correct option is (A)

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Question: 4

Which year shows the highest productionof ice-cream?

Updated On: Sep 23, 2024
  • 2005
  • 2007
  • 2009
  • 2010
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The Correct Option is B

Solution and Explanation

2005 = 50+45+55 = 150
2006 = 40+60+50 = 150
2007 = 55+50+60 = 165
2008 = 45+55+60 = 160
2009 = 60+50+45 = 155
2010 = 55+50+40 = 145
2007 is the answer. So the correct option is (B)
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Question: 5

The total production of flavour Z in 2007 and 2008 is what percentage of the total production of flavour X in 2005 and 2006?

Updated On: Sep 23, 2024
  • 130%
  • 3.33%
  • 33.33%
  • 133.33%
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The Correct Option is D

Solution and Explanation

\(2005 = 50+45+55 = 150\)
\(2006 = 40+60+50 = 150\)
\(2007 = 55+50+60 = 165\)
\(2008 = 45+55+60 = 160\)
\(2009 = 60+50+45 = 155\)
\(2010 = 55+50+40 = 145\)
2007 is the answer. So, the correct option is (B)
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