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Problem 1 : 

Refer to the following information and answer the questions 1 to 5. 

Production of sugar by six major production units in million tonnes. 

Question 1 : 

In which month the unit B has a contribution of approximately 15% in the total sugar production?

Question 2 :

Which unit shows continuous increase in production of sugar over months?

Question 3 :

In the case of Unit E, in which of the following pairs of months the production of sugar was equal?

Question 4 : 

In the month of June, how many units have a share of more than 25% of the total production of sugar?

Question 5 :

What was approximate percentage decrease in sugar production of unit B in June as compared to April?

Problem 2 : 

Refer to the following graph and answer the questions 6 to 10. 

Production of food grain over the years (1000 tonnes)

Question 6 : 

What was the price difference between commodity A and B in the month of April?

Question 7 :

What was the difference in average price between commodity A and B from April to August?

Question 8 :

In which of the two months was the price of commodity A same?

Question 9 : 

What was the approximate percentage decrease in the price of commodity A from March to April?

Question 10 :

What was the percentage increase in price of commodity B from January to April?

Problem 3 : 

Refer to the following graph and answer the questions 11 to 15. 

Production of food grain over the years (1000 tonnes)

Question 11 : 

In the case of how many years was the production below the average production of the given years?

Question 12 :

What was the percentage drop in production from 1996 to 1997?

Question 13 :

In which year was the production 50% of the total production in 1993 and 1998 together ?

Question 14 : 

If the production in 1999 will be above the average production of the given years, what could be the minimum production for 1999?

Question 15 :

What was the approximate percentage increase in production from 1993 to 1994 ?

Detailed Answer Key

Answer (1) : 

1.  Total production in April :

= 310 + 180 + 169 + 137 + 140 + 120  =  1056

15% of 1056  =  0.15 x 1056  =  158.4

Total Production in June :

=  320 + 160 + 188 + 173 + 135 + 130  =  1106

15% 1106  =  0.15 x 1106  =  165.9

Total production in July :

=  326 + 167 + 187 + 146 + 130  =  1136

15% of 1136  =  0.15 x 1136  =  170.4

Total Production in August :

=  327 + 150 + 185 + 178 + 145 + 128  =  1113

15% of 1113  =  0.15 x 1113  =  166.95  ≈  167

That is, in Month July, the Unit B has a contribution of approximately 15% in the total sugar production.

Answer (2) : 

Unit A shows continuous increase in production of sugar over months.

Answer (3) :

In Unit E, the pair of months that shows equal sugar production is April and May.

Answer (4) :

Total Production in June : 

=  320 + 160 + 188 + 173 + 135 + 130  =  1106

25% of 1106  =  0.25 x 1106  =  276.5 units

Unit A shows more than 25% of the total production of sugar in the month June

Answer (5) : 

In unit B, the production in June is 160 and the production in April is 180 units. 

Decrease in percentage : 

=  [(180 - 160) / 180] x 100

=  (20/180) x 100

=  11.11 %

≈  10%

Answer (6) : 

The price of commodity A in April is $1000. 

The price of commodity B in April is $1150.

Difference : 

=  1150 - 1000

=  $150

Answer (7) : 

Average price of commodity A from April to August : 

=  (1000 + 1050 + 975 + 900 + 1000) / 5

=  4925 / 5

=  $985

Average price of commodity B from April to August :

=  (1150 + 1100 + 1100 + 1000 + 950) / 5

=  5300 / 5

=  $1060

Difference : 

=  1060 - 985

=  $75

Answer (8) :

Price of commodity A in April is $1000.

Price of commodity A in August $1000.

Therefore, in April - August the price of commodity A was same.

Answer (9) :

Price of commodity A in March is $1125.

Price of commodity A in April is $1000. 

Decrease in percentage : 

=  [(1125 - 1000) / 1125] x 100

=  (125/1125) x 100

=  11.11 %

≈  11%

Answer (10) : 

Price of commodity B in January is $1000.

Price of commodity B in April $1150.

Increase in percentage : 

=  [(1150 - 1000) / 1000] x 100

=  (150/1000) x 100

=  15 %

Answer (11) : 

Average production : 

=  (80 + 110 + 100 + 130 + 65 + 120) / 6

=  605/6

=  100.833 thousand tonnes

  100900 tonnes

Production in 1993, 1995 and 1997 was below the average.

Answer (12) : 

Production in 1996  =  130 thousand tonnes

Production in 1997  =  65 thousand tonnes

Decrease in percentage : 

=  [(130 - 65) / 130] x 100

=  (65/130) x 100

=  50%

Answer (13) :

Total Production in 1993 and 1998 :

=  80 + 120

=  200

50% of 200  =  0.5 x 200  =  100

The production in 1995 was 50% of the total production in 1993 and 1998.

Answer (14) :

Average production  =  100900 tonnes

Therefore the minimum production in 1999 will be 100900 tonnes.

Answer (15) : 

Production in 1993  =  80 thousand tonnes

Production in 1994  =  110 thousand tonnes

Increase in percentage :  

=  [(110 - 80) / 80] x 100

=  (30/80) x 100

≈  40%

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