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Question :

Directions : Read the data carefully and answer the following questions.

Following line graph shows the number of persons not attending seminar out of total persons and percentage of number of males attending seminar out of total persons attending seminar from city A, B, C and D.

Table shows the ratio between number of male to female not attending seminar from various cities.

CityMale : Female (not attending seminar)
A7 : 5
B4 : 5
C2 : 3
D2 : 1

Total number of persons in city C is (p + 480) and number of males not attending seminar is 280. Difference between number of male and female attending seminar is (p - q). Find the value of 2p + 5q.

1. 8040

2. 8800

3. 9200

4. 8500

5. 6800

Correct Answer : 1
Solution :
CityPercentage of persons not attending seminarPercentage of male attending seminarMale : Female (Not attending seminar)
A60%60%7 : 5
B75%25%4 : 5
C35%30%2 : 3
D20%70%2 : 1

Total number of persons in city C = p + 480

Number of persons attending seminar = 65% of (p + 480)

Number of persons not attending seminar = 35% of (p + 480)

Number of males not attending seminar = 2/5 * 35% of (p + 480)

70/500 * (p + 480) = 280

p + 480 = 280 * 50/7

p + 480 = 2000

p = 1520

Total persons = 2000

Number of persons attending seminar = 65% of 2000 = 1300

Number of males attending seminar = 1300 * 30/100 = 390

Number of females attending seminar = 1300 - 390 = 910

Difference = 910 - 390 = 520

1520 - q = 520

q = 1000

2p + 5q = 2 * 1520 + 5 * 1000 = 3040 + 5000 = 8040

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