BANK & INSURANCE (PERCENTAGE) PART 1

Total Questions: 60

1. In a city, 55% of the population are males out of which only 80% are literate. If 85% of the population of the city is literate, then what percentage of the population are illiterate females?

Correct Answer: (d) 4%
Solution:

Let total population = n
Male population = 55% of n = 0.55n
Illiterate male population = (100 - 80)% of 0.55n
= 0.11n
Illiterate population = (100 - 85)% of n = 0.15n
Then, illiterate female population = 0.15n - 0.11n
= 0.04n
Therefore, percentage = (0.04n/n) x 100 = 4%

2. Mahi spends 70% of her income every month and saves Rs.8400. If her income is increased by 25% while her expenditure is decreased by 25%, then her savings becomes -

Correct Answer: (a) Rs.20300 
Solution:Initial monthly income
= 8400 x 100/(100 - 70) = 28000
Initial monthly expenditure = 28000 - 8400 = 19600
New monthly income
= (100 + 25)% of 28000 = 35000
New monthly expenditure = (100 - 25)% of 19600
= 14700
Therefore, new monthly savings
= 35000 - 14700 = Rs.20300

3. Price of oil is decreased by 10% and the consumption of oil in a family is increased by 8%. By what percentage the expenditure of the family is changed?

Correct Answer: (d) 2.8% 
Solution:

Let initial price of oil = Rs. a per liter
Initial oil consumption = b liters
Initial expenditure = ab
New price of oil = (100 - 10)% of a = 0.9a
New oil consumption = (100 + 8)% of b = 1.08b
New expenditure = 0.9a x 1.08b = 0.972ab
Therefore, percentage decrease in expenditure
= ((ab - 0.972ab)/ab) x 100 = 2.8%

4. P initially had 240 kg almonds. He gave 30% of almonds to Q, 10% of almonds to R, 35% of almonds to S and rest to T. What is the difference between the quantity of almonds received by Q and T?

Correct Answer: (e) 12 kg
Solution:

Total quantity of almonds = 240 kg
Quantity of almonds received by Q
= 30% of 240 = 72 kg

Quantity of almonds received by R
= 10% of 240 = 24 kg
Quantity of almonds received by S
= 35% of 240 = 84 kg
Quantity of almonds received by T
= 240 - 72 - 24 - 84 = 60 kg
Therefore, difference between the quantity of almonds received by Q and T = 72 - 60 = 12 kg

5. Sum of two numbers A and C is 56 more than B. If A is 60% less than C and value of B is 28. B is approximately what percent more/less than A?

Correct Answer: (b) 16.67% 
Solution:B = 28
A = 40% of C = 0.4C
B + 56 = A + C
(0.4C) + C = 28 + 56
C = 60, A = 0.4 x 60 = 24
Then, difference between A and B = 28 - 24 = 4
Therefore, percentage = (4/24) x 100 = 16.67% (approx.)

6. In a business, A’s and B’s investments are respectively 125% and 75% of C’s investment and ratio of time periods of A, B and C is respectively 1 : 2 : 1. Find that A’s profit is what percent of B’s and C’s profit together?

Correct Answer: (b) 50%
Solution:

So, A's investment = 125% of ‘4x’ = 5x And B's investment = 75% of ‘4x’ = 3x Ratio of profit shares of A, B and C respectively: (5x × 1): (3x × 2): (4x × 1) = 5:6: 4
Required percentage = [5/(6 + 4)] x 100 = 50%

7. In a class of 400 students 40% are girls and rest are boys. 30% of the girls are honest and rest of the girls are dishonest. In case of boys 60% are dishonest and rest of the boys are honest. Find out what percentage of the students are honest?

Correct Answer: (d) 36% 
Solution:

Number of girls in the class = (0.4 x 400) = 160
Number of boys in the class = (400 - 160) = 240
Total number of honest girls = (0.3 x 160) = 48
Number of honest boys = (0.4 x 240) = 96
Total number of honest students = (96 + 48) = 144
Hence the required % = 144/400 x 100 = 36%

8. In an exam, A got 28% marks and failed by 30 marks, B got 32% marks and failed by 20 marks. If C got 110 marks, then find his percentage?

Correct Answer: (c) 44% 
Solution:

Let maximum marks in the exam = ‘100x’
So, (28% of 100x) + 30 = (32% of 100x) + 20
28x + 30 = 32x + 20
x = 2.5
Maximum marks in the exam = 100 × 2.5 = 250
So, C's percentage in the exam
= (110/250) × 100 = 44%

9. Ratio of male to female employees in a company in 2002 is 5 : 6 and if next year male employees are increased by 20% while the female employees are decreased by 20%, then what is the ratio of male to female employees in the company in 2003?

Correct Answer: (a) 5 : 4 
Solution:

Let number of male and female employees in the company in 2002 is 5x and 6x respectively.
Male employees in 2003 = 120% of 5x = 6x
Female employees in 2003 = 80% of 6x = 4.8x
Required ratio = 6x : 4.8x = 5 : 4

10. Sum of twice of A and thrice of B is 130. When A is increased by 50% and B is decreased by 50%, then their sum becomes 45. What is the difference between A and B?

Correct Answer: (a) 10 
Solution:

2A + 3B = 130 ⇒ A = (130 - 3B)/2
(100 + 50)% of A + (100 - 50)% of B = 45
A = 2x(45 - 0.5B)/3
Now, (130 - 3B)/2 = 2 × (45 - 0.5B)/3
390 - 9B = 180 - 2B
7B = 210
B = 30, A = (130 - 3×30)/2 = 20
Therefore, difference between A and B
= 30 - 20 = 10