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Directions (1 - 5): The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.
Percentage of six different types of mobiles manufactured by a company over two year.
Direction image of Bar Chart chapter
1
If 85% of the D type mobile produced in each year were sold by the company, how many D type mobiles remained unsold?
Discuss
Answer & Solution
'D' type production in 2007
= 35 × $$\frac{10}{100}$$
'D' type production in 2008
= 44 × $$\frac{10}{100}$$
Required Answer
$$\eqalign{ & = \left( {35 \times \frac{{10}}{{100}} + 44 \times \frac{{10}}{{100}}} \right) \times \frac{{15}}{{100}} \cr & = 118500 \cr} $$
2
Total number of mobiles of models A, B and E manufactured in 2007 was?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required Answer} \cr & = \frac{{35 \times 30}}{{100}} + \frac{{35 \times 15}}{{100}} + \frac{{35 \times 15}}{{100}} \cr & = \frac{{35}}{{100}}\left( {30 + 15 + 15} \right) \cr & = \frac{{35 \times 60}}{{100}} \cr & = 21{\text{ lakhs}} \cr} $$
3
If the percentage production of A type mobiles in 2008 as name as that in 2007, then the number of A type mobiles produced in 2008 would have been-
Discuss
Answer & Solution
Required Production
= $$\frac{44 \times 30}{100}$$  lakhs
= 13,20,000
4
For which models was the percentage variation in production from 2007 to 2008 the maximum?
Discuss
Answer & Solution
$$\eqalign{ & {\text{Percentage Variation}} \cr & {\text{Modal A}} = \frac{{40 - 30}}{{30}} \times 100 = 33\frac{1}{3}\% \cr & {\text{Modal B}} = \frac{{20 - 15}}{{15}} \times 100 = 33\frac{1}{3}\% \cr & {\text{Modal C}} = \frac{{20 - 15}}{{20}} \times 100 = 25\% \cr} $$
5
What was the difference in the number of B type mobile produced in 2007 and 2008?
Discuss
Answer & Solution
B types mobile production in 2007 = $$\frac{35 \times 15}{100}$$
B type mobile production in 2008 = $$\frac{44 \times 20}{100}$$
Required Difference
$$\eqalign{ & = \frac{{44 \times 20}}{{100}} - \frac{{35 \times 15}}{{100}} \cr & = \frac{{880}}{{100}} - \frac{{525}}{{100}} \cr & = \frac{{355}}{{100}}{\text{lakhs}} \cr & = 3,55,000 \cr} $$