Bar Charts
Data Interpretation

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Common Information

The bar graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years.

Common information image for Bar Charts, Data Interpretation:1032-1

Q.

Common Information Question: 2/5

Total number of cars of models $P$, $Q$ and $T$ manufactured in 2000 is?

 A.

2,45,000

 B.

2,27,500

 C.

2,10,000

 D.

1,92,500

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Solution:
Option(C) is correct

Analysis of the graph:

We shall first determine the number of cars of each model produced by the Company during the two years:

In 2000 : Total number of cars produced $= 3,50,000$.

$P = (30 - 0)$% of $3,50,000 = 30$% of $3,50,000 = 1,05,000.$
$Q = (45 - 30)$% of $3,50,000 = 15$% of $3,50,000 = 52,500.$
$R = (65 - 45)$% of $3,50,000 = 20$% of $3,50,000 = 70,000.$
$S = (75 - 65)$% of $3,50,000 = 10$% of $3,50,000 = 35,000.$
$T = (90 - 75)$% of $3,50,000 = 15$% of $3,50,000 = 52,500.$
$U = (100 - 90)$% of $3,50,000 = 10$% of $3,50,000 = 35,000.$

In 2001 : Total number of cars produced $= 4,40,000.$

$P = (40 - 0)$% of $4,40,000 = 40$% of $4,40,000 = 1,76,000.$
$Q = (60 - 40)$% of $4,40,000 = 20$% of $4,40,000 = 88,000.$
$R = (75 - 60)$% of $4,40,000 = 15$% of $4,40,000 = 66,000.$
$S = (85 - 75)$% of $4,40,000 = 10$% of $4,40,000 = 44,000.$
$T = (95 - 85)$% of $4,40,000 = 10$% of $4,40,000 = 44,000.$
$U = (100 - 95)$% of $4,40,000 = 5$% of $4,40,000 = 22,000.$

Total number of cars of models $P$, $Q$ and $T$ manufacture in 2000

$= (105000 + 52500 + 52500)$

= 2,10,000


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