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Caselet DI

There are 1500 people living in Agra. There are equal numbers of males and females living in Agra. But the literate population is 30% less than the male population. There are 2000 people living in Patna. But out of them 950 are literate. The number of males in Patna is 150 more than literate people. A total of 2500 females live in these three cities. Agra, Patna, and Chennai. The ratio of illiterate people is 18:19. A total of 1850 people living in Chennai.

Now study these data and answer the following questions.

Q.1 What is the percentage of males living in Patna?

(a) 60%

(b) 55%

(c) 70%

(d) 45%

(e) None of these

Q.2. What is the difference between the number of males and females in Patna?

(a) 170

(b) 220

(c) 200

(d) 260

(e) None of these

Q.3. What is the percentage of illiterate people living in all three cities?

(a) 51.3 %

(b) 64.5 %

(c) 59.2 %

(d) 55.6 %

(e) None of these

Q.4. What is the difference between the total number of males and females living in all three cities?

(a) 350

(b) 250

(c) 450

(d) 150

(e) None of these

Q.5. If 40 % of the females from all the respective cities are illiterate Then find how many males are literate in all the three cities?

(a) 865

(b) 885

(c) 845

(d) 925

(e) None of these

Solution:

For the solution, we need to study the problem and need to gather all the data.

In Agra, there are 1500 people.

Equal number of males and females.

So, males and females both are 750 each.

Illiterate population is 1500 – 525 = 975

In Patna total population is 2000

Out of them 950 are literate.

So, literate is 2000 – 950 = 1150

Males in Patna = 950 + 150 = 1100

Females in Patna = 2000 – 1100 = 900

Total of 2500 females live in 32 cities

So, female in Chennai is (2500 – 750 - 900) = 850

Total People = 1850

So, male in Chennai = 1850 – 850 = 1000

Literate: Illiterate = 18: 19

Now, we are organizing this in tabular form,

(1)

Option (b) is correct.

(2)

Difference between males and females in Patna = 1100 – 900 = 200

Option (c) is correct.

(3)

Total illiterate people living in all the 3 cities are (975 + 1050 + 950) = 2975

Total people in 3 cities = (1500 + 2000 +1850) = 5350

Option (d) is correct.

(4)

Total Number of males living in all the cities together = (750 + 1100 + 1000) = 2850

Total number of females living in all the three cities together = (750 + 900 + 850) = 2500

So, difference is (2850 - 2500) = 350

Option (a) is correct.

(5)

Total literate people in all the 3 cities together is (525 + 950 + 900) = 2385

Total female = 2500

40% are illiterate

So, 60% are literate.

So, literate male = 2385 -1500 = 885

Option (b) is correct.