BANK & INSURANCE (PERCENTAGE) PART 1

Total Questions: 60

31. The average mark scored by a class (boys and girls) in Biology is 82. If the average marks scored by boys in Biology are 75 and the number of girls is 75% more than the number of boys in the class, find the average marks scored by girls in Biology.

Correct Answer: (d) 86 
Solution:

Let the average marks scored by girls in Biology be ‘t’.
Let the number of boys in the class be 4y.
Hence, number of girls in the class
= 4y × (7/4) = 7y
According to the question:
=> 300y + 7yt = 82 × (4y + 7y)
=> 300y + 7yt = 82 × 11y
=> 300 + 7t = 82 × 11 = 902
=> 7t = (902 - 300) = 602
=> t = 602/7 = 86
Hence, average marks scored by girls in Biology
= t = 86

32. There are 80 students in a class out of which 45% are girls. 1432 flowers were distributed among all students of the same class such that each girl got 2 flowers more than each boy. How many flowers did each boy receive?

Correct Answer: (e) 17
Solution:

Here. Total students = 80
Number of girls = 45% of 80 = 36
Number of boys = 80 - 36 = 44
Let the number of flowers received by each boy = n
Then, the number of flowers received by each girl = n + 2
Now, 1432 = 36 × (n + 2) + 44 × n
n = 17

33. Riya's percentage marks in two exams out of four exams are 60% and 70% respectively. If her average percentage marks are 80% in all four exams together, then what is the minimum percentage mark she can get in the third exam?

Correct Answer: (a) 90% 
Solution:

Let x% be marks in 3rd exam. And to calculate minimum marks in the 3rd exam, let in the 4th exam Riya's marks will be 100%
So, from the question,
(60 + 70 + x + 100)/4 = 80
230 + x = 320
=> x = 320 - 230 = 90%

34. In a library 60% of the books are in Hindi, 60% of the remaining books are in English, the rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?

Correct Answer: (d) 3200 
Solution:

Let there are X books in the library.
Hindi books = 60% of X = 60X/100 = 0.6X
Remaining Books = X - 0.6X = 0.4X
English books = 40% of reaming books = 60% of 0.4X = 0.24X
Malayalam Books = X - 0.6X - 0.24X = 0.16X
Given,
0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16×20000 = 3200.

35. A school has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 1200 from the parents of the students. The people already solicited represents the parents of 60% of the students. If the School is to raise exactly the amount needed for the new building, what should be the average donation from the remaining students to be solicited?

Correct Answer: (d) Rs.600 
Solution:

Let the number of parents be x who has been asked for the donations.
People already solicited = 60% of x = 0.6x
Remaining people = 40% of x = 0.4x

Amount collected from the parents solicited
= 1200 × 0.6x = 720x
720x = 75%; Remaining amount = 25% = 240x
Thus, Average donations
from remaining parents
= 240x / 0.4x = 600

36. The monthly income of Shyama and Kamal together is Rs.28000. The income of Shyama and Kamal is increased by 25% and 12.5% respectively. The new income of Kamal becomes 120% of the new salary of Shyama. What is the new income of Shyama?

Correct Answer: (e) Rs.15000
Solution:The monthly income of Shyama and Kamal => S + K
= 28000 …(1)
Shyama’s income = x; Kamal’s income = 28000 - x
K = 120/100 × S …(2)
S’s new income = (28000 - x) × 112.5/100
K’s new income = x × 125/100
(28000 - x) × 112.5/100 = x × 125/100
x = 12000
New Income of Shyama = 125% of 12000 = 15000

37. In a class of 60 students, 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in Quants?

Correct Answer: (b) 33 
Solution:Total students = 60
Failed in both = 5% of 60 = 3
Passed in both = 20% of 60 = 12
Passed in reasoning = 40% of 60 = 24
Those passed only in reasoning = 24 - 12 = 12 students.
Passed only in Quants = 60 - (12 + 12 + 3) = 33

38. Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?

Correct Answer: (d) 960 kg 
Solution:

Quantity of water in 300 kg dry fruits, = (20/100) × 300 = 60 kg
Quantity of fruit alone = 300 - 60 = 240 kg
25 kg fruit piece in 100 kg fresh fruits
For 240 = (100 × 240)/25 = 960 kg

39. In a college election 35% voted for Person A, whereas 42% voted for Person B. The remaining people were not vote to any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people participated in the college election?

Correct Answer: (b) 3000 
Solution:

Let the number of individuals involved in election be x.
Percentage of those who were not vote = 100 - (35+42) = 23%
The difference between those who voted
42% of x - 23% of x = 570
19% of x = 570
x = 570×100/19 = 3000

40. The total salary of Guagn and Harish in an organization is Rs 30000. If the salary of Guagn increase by 5% and salary of Harish increase by 7%, then their total salary would increase to Rs 31800. Find the salary of Harish?

Correct Answer: (b) Rs.15,000 
Solution:7% increases 30000 = Rs 2100 = 30000+2100 = Rs 32,100
But the actual increase in salary = 31800
Difference = 32100 - 31800 = 300
2% = 300
Gugan’s salary = 30000/2 × 100 = 15000
Harish’s salary = 30000 - 15000 = Rs 15000