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Direction to solve :

Following bar graph shows the production (in tones) of four products P, Q, R and S by a company from the years 2005 to 2010

01.

In which year the annual growth rate of total production (of all products) is highest?

A.	2006	B.	2007
C.	2008	D.	2010

Answer and Explanation

Answer: 2007

Explanation:
Total production of all the four products
=> In 2005 = 45 + 95 + 75 + 115 = 330
=> In 2006 = 25 +40 + 95 + 155 = 315
=> In 2007, 40 + 105 + 102 + 165 = 412
=> In 2008, 35 + 60 + 62 + 140 = 297
=> In 2009, 75 + 40 + 135 + 85 = 335
=> In 2010, 55 + 70 + 120 + 95 = 340
=> Now, growth rate of total production
=> In 2007 = 412 – 315 / 315 x 100% = 30.97%
=> In 2009 = 335 – 297 / 297 x 100% = 12.79%
=> In 2010 = 340 – 335 / 335 x 100% = 1.49%
=> In the remaining years, the total production is decreased. Hence annual growth rate is highest in the year 2007.

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02.

If the stability of production during 2005 to 2010 is defined as Average production / maximum production- minimum production, then which product is most stable?

A.	P	B.	Q
C.	R	D.	S

Answer and Explanation

Answer: S

Explanation:
consider for product S
=> Total production = 115 + 155 + 165 + 140 + 85 + 95
=> 755 tonne
=> Average production = 755/6 125.83 tonne
=> Maximum production = 165 tonne
=> Maximum production = 85 tonne
=> Thus, stability = 125.83/165 – 85 = 1.57
=> Other procures have lesser stability.

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03.

If four products P, Q, R and S shown in the graph are sold at price of Rs 9, 4, 13 and 3, respectively during 2005 – 2010, then the total revenue of all products is lowest in which year?

A.	2006	B.	2007
C.	2008	D.	None of these

Answer and Explanation

Answer: 2008

Explanation:
Two product with higher prices are P and R.
=> Their production is lowest in 2008
=> So, the total revenue of all the products will be lowered in year 2008.

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04.

Individual revenue of P, Q, R and S for the entire period (2005 – 2010) is calculated based on the price of Rs. 9, 4, 13 and 3, respectively. Which product fetches the lowest revenue?

A.	P	B.	Q
C.	R	D.	S

Answer and Explanation

Answer: Q

Explanation:
Total revenue of product P = 275 x 9 = Rs 2475
=> Total revenue of product Q = 410 x 4 = Rs. 1640
=> Total revenue of product R = 589 x 13 = Rs. 7657
=> Total revenue of product S = 755 x 3 = Rs 2265
=> Thus, product Q fetches the lowest revenue.

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05.

For products P, Q, R and S shown in the graph are sold at price of Rs, 9, 4, 13 and 3, respectively during 2005 – 2010. Which of the following statements is true?

A.	Product R fetches second highest revenue across products in 2006	B.	Sum of revenue of P, Q and S is more than the revenue of R in 2009
C.	Cumulative revenue of P and Q is more than the revenue of S in 2008	D.	None of the above

Answer and Explanation

Answer: Cumulative revenue of P and Q is more than the revenue of S in 2008

Explanation:
we will check the statements one – by – one
=> Statement (a), for the year 2006
=> Revenue from P = 25 x 9 = 225
=> Revenue from Q = 40 x 4 = 160
=> Revenue from R = 95 x 13 = 1235
=> Revenue from S = 155 x 3 = 465
=> Product R fetches highest revenue. Statement (a) is false
=> Statement (b) For the year 2009
=> Total revenue from P and Q and S
=> 75 x 9 + 40 x 4 + 85 x 3 = 1090
=> Revenue from R = 135 x 13 = 1755
=> Therefore, option (b) is false
=> Statement (c) For the year 2008
=> Cumulative revenue from P and Q
=> (45 + 25 + 40 + 35) x 9 + (95 + 40 + 105 + 60) x 4
=> 145 x 9 + 300 x 4
=> 1305 + 1200 = 2505
=> Revenue from S = (115 + 155 + 165 + 140) x 3
=> 575 x 3 = 1725
=> Option c is true.

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