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**Direction (1-5): Study the chart and answer the questions. It was known that the school was started in 2011. **1. Find the one-fourth of the percentage increase in the number of students admitted in the school from 2011 to 2015?

2. In which year the percentage increase in the number of admitted students was the highest with respect to the previous year?

3. The number of students getting admitted in 2014 is what percentage of the total number of students getting admitted in the school in those 5 years?

4. If the number of students admitted is expected to increase by 24% from 2015 to 2016. Find the average number of admissions from 2011 to 2016.

5. Which year has the least percentage change in the number of students admitted in the school with respect to the previous year?

**Direction (6-10): Following the bar graph shows community wise percentage distribution of population of India and table shows ratio of number of males to the number of females in that community. **6. If the total population of India is 100 crores, then what is the difference between the number of Christians females and that of Christians males in India?

7. The number of Sikh females in India is what percent of the number of Hindu males in India (approximately)?

8. If the total number of other males in India is 4.4 million, then what is the total population of India?

9. What is the ratio of total number of Muslim females to the total number of Sikh males in India?

10. What is the ratio of total Hindu and Muslim male population together to the total Sikh and Christian female population together?

**Check your Answers below:**

**Direction (1-5): Study the chart and answer the questions. It was known that the school was started in 2011.**

##### 1. Question

Find the one-fourth of the percentage increase in the number of students admitted in the school from 2011 to 2015?

Ans:4

Number of students in 2015 = 550

Number of students in 2011 = 410

Percentage increase =[(550 – 410)/410] * 100 = 34% (approx)

One-fourth of the percentage increase = 34/4 = 8.5%##### 2. Question

**Direction (1-5): Study the chart and answer the questions. It was known that the school was started in 2011.**

In which year the percentage increase in the number of admitted students was the highest with respect to the previous year?Ans:3

Since it is only about increase so we should only consider 2012 and 2014.

In 2012 the increase = 110/410 * 100 = 26.8%

In 2014 the increase = 140/460 x 100 = 30.4%##### 3. Question

The number of students getting admitted in 2014 is what percentage of the total number of students getting admitted in the school in those 5 years?Ans:2

Total students admitted = 410 + 520 + 460 + 600 + 550 = 2540

In 2014 the number of students admitted = 600

So the required percentage = 600/2540 * 100 = 23.6%##### 4. Question

If the number of students admitted is expected to increase by 24% from 2015 to 2016. Find the average number of admissions from 2011 to 2016.Ans:5

Due to 24% increase the number of students admitted in 2016 = 550 * 1.24 = 682

Required average = (2540+682)/6 = 3222/6 = 537##### 5. Question

Ans:4

The percentage changes in

2012 = 110/410 * 100 = 26.8%

2013 = 60/520 * 100 = 11.5%

2014 = 140/460 *100 = 30.4%

2015 = 50/600 *100 = 8.3%

So the least change is in 2015.##### 6. Question

**Direction (6-10): Following the bar graph shows community wise percentage distribution of population of India and table shows ratio of number of males to the number of females in that community.**If the total population of India is 100 crores, then what is the difference between the number of Christians females and that of Christians males in India?

Ans:3

Total number of Christians in India = (4/100) * (100) cr. = 4 cr.

Number of Christians males in India = (11/25) *4 Cr.

Number of Christians females in India = (14/25) * 4 Cr.

Difference = ((14/25) * 4 Cr) – ((11/25) * 4 Cr)

= (3/25)* 4 cr = 0.48 Cr = 48 lakh##### 7. Question

**Direction (6-10): Following the bar graph shows community wise percentage distribution of population of India and table shows ratio of number of males to the number of females in that community.**

The number of Sikh females in India is what percent of the number of Hindu males in India (approximately)?Ans:1

Let total population of India be P

The Number of Hindus in India = (0.7) * P

Number of Hindu males in India = (51/100) * (0.7) * P

The Number of Sikhs in India = (0.04) * P

Number of Sikh females in India = (12/25) * (0.04) * P

Required percentage = (((12/25) * (0.04) * P)/ ((51/100) * (0.7) * P)) * 100 % = 5.3% (Approximately).##### 8. Question

Ans:5

Let total population of India = P

Population of Others in India = (0.08) * P

Number of Other males in India = (11/20) * (0.08 * P)

So, (11/20) * (0.08 * P) = 4.4 million

P = ((440 * 20)1 (11 * 8)) million = 100 million.##### 9. Question

What is the ratio of total number of Muslim females to the total number of Sikh males in India?Ans:4

Let the total population of India = P

Total number of Muslims in India = (0.14) * P

Total number of Muslim females in India = (93/200) * (0.14) x P

Total number of Sikhs in India = (0.04) * P

Total number of Sikh males in India = (13/25) * (0.04) * P

Required ratio = ((93/200) * (0.14) * P)/ ((13/25) * (0.04) * P)

= 651/208##### 10. Question

Ans:1

Let total population be P

Number of Hindu males = (51/100) * (0.7* P)

Number of Muslim males = (107/200) * (0.14 * P)

Total number of Hindu and Muslim Males

= ((51/100) * (0.7* P)) + (107/200) * (0.14 * P)) = (43.19/100) * P

Number of Christians females = (14/25) * (0.04 * P)

Number of Sikh females = (12/25) * (0.04 * P)

Total number of Christian and Sikh females

= (14/25) * (0.04 * P)) + ((12/25) * (0.04 * P)) = (1.04/25) * P

Required ratio = ((43.19/100) * P)/ ((1.04/25) * P) = 4319/416.