Reasoning Aptitude > Data Interpretation
PIE CHARTS MCQs
Pie Graphs
Total Questions : 124
| Page 11 of 13 pages
Answer: Option D. -> 114%
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required percentage} \cr
& = \left(\frac{1280}{1120}\times100\right)\% \cr
& = \frac{800}{7}\% \cr
& = 114.28\% \cr
& \approx 114\% \cr} $$
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required percentage} \cr
& = \left(\frac{1280}{1120}\times100\right)\% \cr
& = \frac{800}{7}\% \cr
& = 114.28\% \cr
& \approx 114\% \cr} $$
Answer: Option B. -> 86%
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required percentage} \cr
& = \left(\frac{1520}{1760}\times100\right)\% \cr
& = \frac{950}{11}\% \cr
& = 86.36\% \cr
& \approx 86\% \cr} $$
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required percentage} \cr
& = \left(\frac{1520}{1760}\times100\right)\% \cr
& = \frac{950}{11}\% \cr
& = 86.36\% \cr
& \approx 86\% \cr} $$
Answer: Option C. -> 6 : 7
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required ratio} \cr
& = \text{Finance : HR} \cr
& = \frac{960}{1120} \cr
& = \frac{6}{7} \cr
& = 6:7\cr} $$
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
$$\eqalign{
& \text{Required ratio} \cr
& = \text{Finance : HR} \cr
& = \frac{960}{1120} \cr
& = \frac{6}{7} \cr
& = 6:7\cr} $$
Answer: Option D. -> 4400
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
Required number of students
= 1280 + 1760 + 1360
= 4400
Number of students in various specialisations:
$$\eqalign{
& \text{IB → } \frac{19}{100}\times8000 = 1520 \cr
& \text{IR → } \frac{16}{100}\times8000 = 1280 \cr
& \text{Finance → } \frac{12}{100}\times8000 = 960 \cr
& \text{Marketing → } \frac{22}{100}\times8000 = 1760 \cr
& \text{IT → } \frac{17}{100}\times8000 = 1360 \cr
& \text{HR → } \frac{14}{100}\times8000 = 1120 \cr} $$
Required number of students
= 1280 + 1760 + 1360
= 4400
Answer: Option A. -> Rs. 10076
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
$$\eqalign{
& \text{Amount spent on commuting} \cr
& = \text{Rs.}\left(45800\times\frac{22}{100}\right) \cr
& = \text{Rs. 10076} \cr} $$
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
$$\eqalign{
& \text{Amount spent on commuting} \cr
& = \text{Rs.}\left(45800\times\frac{22}{100}\right) \cr
& = \text{Rs. 10076} \cr} $$
Answer: Option B. -> Rs. 13282
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
Amount spent on Entertainment and Shopping
$$\eqalign{
& = \text{Rs.}\left(45800\times\frac{10+19}{100}\right) \cr
& = \text{Rs.}\left(45800\times\frac{29}{100}\right) \cr
& = \text{Rs. 13282}\cr} $$
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
Amount spent on Entertainment and Shopping
$$\eqalign{
& = \text{Rs.}\left(45800\times\frac{10+19}{100}\right) \cr
& = \text{Rs.}\left(45800\times\frac{29}{100}\right) \cr
& = \text{Rs. 13282}\cr} $$
Answer: Option D. -> 11 : 23
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
(Amount spent on medicine) : (Amount spent on groceries)
$$\eqalign{
& = \left(45800\times\frac{11}{100}\right):\left(45800\times\frac{23}{100}\right) \cr
& = 11:23 \cr} $$
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
(Amount spent on medicine) : (Amount spent on groceries)
$$\eqalign{
& = \left(45800\times\frac{11}{100}\right):\left(45800\times\frac{23}{100}\right) \cr
& = 11:23 \cr} $$
Answer: Option C. -> 218%
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
Amount spent on Groceries, Entertainment and Investments
$$\eqalign{
& = 45800\times\frac{23+10+15}{100} \cr
& = 45800\times\frac{48}{100} \cr
& \text{Amount spent on Commuting} \cr
& = 45800\times\frac{22}{100} \cr
& \text{Required %} \cr
& = \left(\frac{45800\times\frac{48}{100}}{45800\times\frac{22}{100}}\times100\right)\% \cr
& = \frac{2400}{11}\% \cr
& = 218.18\% \cr
& \approx 218\% \cr} $$
Percentage Break-up of expenditure is:
$$\eqalign{
& \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr
& \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr
& \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr
& \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr
& \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr
& \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
Amount spent on Groceries, Entertainment and Investments
$$\eqalign{
& = 45800\times\frac{23+10+15}{100} \cr
& = 45800\times\frac{48}{100} \cr
& \text{Amount spent on Commuting} \cr
& = 45800\times\frac{22}{100} \cr
& \text{Required %} \cr
& = \left(\frac{45800\times\frac{48}{100}}{45800\times\frac{22}{100}}\times100\right)\% \cr
& = \frac{2400}{11}\% \cr
& = 218.18\% \cr
& \approx 218\% \cr} $$
Question 109. Directions (1 - 3): Pie-charts show the expenses on various heads show the expenses on various heads in construction of a house. Study the pie-chart.
If the total cost of constructing the house is Rs. 3,60,000 in 1991 and Rs. 8,64,000 in 2001, what is the amount spent on Steel in 1991 and 2001?
If the total cost of constructing the house is Rs. 3,60,000 in 1991 and Rs. 8,64,000 in 2001, what is the amount spent on Steel in 1991 and 2001?
Answer: Option D. -> Rs. 50,000, Rs. 1,44,000
$$\eqalign{
& {\text{Expenditure on steel}} \cr
& {\text{Year }}1991 = \frac{{{{50}^ \circ }}}{{{{360}^ \circ }}} \times 360000 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}50000 \cr
& {\text{Year }}2001 = \frac{{864000}}{{360}} \times 60 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}144000 \cr} $$
$$\eqalign{
& {\text{Expenditure on steel}} \cr
& {\text{Year }}1991 = \frac{{{{50}^ \circ }}}{{{{360}^ \circ }}} \times 360000 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}50000 \cr
& {\text{Year }}2001 = \frac{{864000}}{{360}} \times 60 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}144000 \cr} $$
Answer: Option B. -> 30%
Required percentage = $$\frac{108°}{360°}$$ × 100 = 30%
Required percentage = $$\frac{108°}{360°}$$ × 100 = 30%
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