(1) The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year	No. of trucks	No. of buses
2006 - 2007	47	9
2007 - 2008	56	13
2008 - 2009	60	16
2009 - 2010	63	18

Solution:

Let’s prepare a table as shown below:

Year	2006-07	2007-08	2008-09	2009-10
No. of Trucks	47	56	60	63
No. of Buses	9	13	16	18
Total	56	69	76	81
% of Trucks
% of Buses

Now, let’s calculate the percentage for Trucks and Buses:-

2006-2007:

  \(\displaystyle \text {Percentage of Trucks} = \frac{47}{56} \times 100\)

\(\displaystyle \therefore \text {Percentage of Trucks} = \frac{4700}{56}\)

\(\displaystyle \therefore \text {Percentage of Trucks} = \frac{4700}{56}\)

\(\displaystyle \therefore \text {Percentage of Trucks} = 83.92\)

\(\displaystyle \therefore \text {Percentage of Trucks} \approx 84\)

\(\displaystyle \therefore \text {Percentage of Buses} = 100 - 84 = 16\)

2007-2008:

  \(\displaystyle \text {Percentage of Trucks} = \frac{56}{69} \times 100\)

\(\displaystyle \therefore \text {Percentage of Trucks} = \frac{5600}{69}\)

\(\displaystyle \therefore \text {Percentage of Trucks} = 81.15\)

\(\displaystyle \therefore \text {Percentage of Trucks} \approx 81\)

\(\displaystyle \therefore \text {Percentage of Buses} = 100 - 81 = 19\)

2008-2009:

  \(\displaystyle \text {Percentage of Trucks} = \frac{60}{76} \times 100\)

\(\displaystyle \therefore \text {Percentage of Trucks} = \frac{6000}{76}\)

\(\displaystyle \therefore \text {Percentage of Trucks} = 78.94\)

\(\displaystyle \therefore \text {Percentage of Trucks} \approx 79\)

\(\displaystyle \therefore \text {Percentage of Buses} = 100 - 79 = 21\)

2009-2010:

  \(\displaystyle \text {Percentage of Trucks} = \frac{63}{81} \times 100\)

\(\displaystyle \therefore \text {Percentage of Trucks} = \frac{6300}{81}\)

\(\displaystyle \therefore \text {Percentage of Trucks} = 77.77\)

\(\displaystyle \therefore \text {Percentage of Trucks} \approx 78\)

\(\displaystyle \therefore \text {Percentage of Buses} = 100 - 78 = 22\)

Now, the completed table is given below:

Year	2006-07	2007-08	2008-09	2009-10
No. of Trucks	47	56	60	63
No. of Buses	9	13	16	18
Total	56	69	76	81
% of Trucks	84	81	79	78
% of Buses	16	19	21	22

Here is an AI generated (Google Gemini) percentage bar diagram for the above data. A better diagram is coming soon ...

(2) In the table given below, the information is given about roads. Using this draw sub-divided and percentage bar diagram. (Approximate the percentages to the nearest integer)

Year	Permanent Roads (Lakh km)	Temporary Roads (Lakh km)
2000 - 2001	14	10
2001 - 2002	15	11
2002 - 2003	17	13
2003 - 2004	20	19

Solution:

Let’s prepare a table as shown below:

Year	2000-01	2001-02	2002-03	2003-04
Permanent Roads	14	15	17	20
Temporary Roads	10	11	13	19
Total	24	26	30	39
% of Permanent Roads
% of Temporary Roads

Now, let’s calculate the percentage for Permanent Roads and Temporary Roads:-

2000-01:

  \(\displaystyle \text {Percentage of Permanent Roads} = \frac{14}{24} \times 100\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = \frac{1400}{24}\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = 58.33\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} \approx 58\)

\(\displaystyle \therefore \text {Percentage of Temporary Roads} = 100 - 58 = 42\)

2001-02:

  \(\displaystyle \text {Percentage of Permanent Roads} = \frac{15}{26} \times 100\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = \frac{1500}{26}\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = 57.69\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} \approx 58\)

\(\displaystyle \therefore \text {Percentage of Temporary Roads} = 100 - 58 = 42\)

2002-03:

  \(\displaystyle \text {Percentage of Permanent Roads} = \frac{17}{30} \times 100\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = \frac{1700}{30}\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = 56.66\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} \approx 57\)

\(\displaystyle \therefore \text {Percentage of Temporary Roads} = 100 - 57 = 43\)

2003-04:

  \(\displaystyle \text {Percentage of Permanent Roads} = \frac{20}{39} \times 100\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = \frac{2000}{39}\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} = 51.28\)

\(\displaystyle \therefore \text {Percentage of Permanent Roads} \approx 51\)

\(\displaystyle \therefore \text {Percentage of Temporary Roads} = 100 - 51 = 49\)

Now, the completed table is given below:

Year	2000-01	2001-02	2002-03	2003-04
Permanent Roads	14	15	17	20
Temporary Roads	10	11	13	19
Total	24	26	30	39
% of Permanent Roads	58	58	57	51
% of Temporary Roads	42	42	43	49

Here is an AI generated (Google Gemini) percentage bar diagram for the above data. A better diagram is coming soon ...