BANK & INSURANCE (RATIO AND PROPORTION) PART 1

Total Questions: 70

1. If 40% of (X + 2000) = 1300 and 60% of (X + Y) = 1830. Find X : Y?

Correct Answer: (e) 25 : 36
Solution:

40/100 × (X + 2000) = 1300
⇒ X = 1250

60/100 × (1250 + Y) = 1830
1200 + 60Y/100 = 1830
⇒ Y = 1800

X : Y = 1250 : 1800 = 25 : 36

2. An amount of Rs. 4004 is to be distributed in the ratio 4 : 6 : 3. Find the difference between the share of the person who got highest and who got lowest?

Correct Answer: (a) Rs. 924
Solution:

The person who got highest share
= 6/13 × 4004
= 6 × 308 = Rs. 1848

The person who got lowest share
= 3/13 × 4004
= 3 × 308 = 924

Required difference = 1848 − 924 = Rs. 924

3. A number when increased by 87.5% it becomes 83.33% of another number. Find the ratio of both numbers?

Correct Answer: (e) 9 : 4
Solution:

Let numbers be x and y respectively ATQ

x × 15/8 = 5/6 × y

x : y = 4 : 9 or y : x = 9 : 4

4. Ratio of the first and second number is 9 : 10 and ratio of first and third number is 3 : 4. Find the difference between the second and third number if the average of all the three numbers is 62?

Correct Answer: (c) 12
Solution:

Let first and second number be 9x and 10x respectively.

Then third number

ATQ

(9x + 10x + 12x) / 3 = 62

x = 6

Required difference
= 2 × 6 = 12

5. Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.

Correct Answer: (c) 680, 1020, 2040
Solution:

2K + 3K + 6K = 3740

K = 340

∴ 3 parts are:-

(340 × 2); (3 × 340); (6 × 340)

680; 1020; 2040

6. If a number is reduced by 40% it becomes two thirds of another number. What is the ratio of the second number to the first number?

Correct Answer: (d) 9 : 10
Solution:

Let the two numbers be a and b.

a − (40% of a) = (2/3) b

a − 40a/100 = (2/3) b

60a/100 = (2/3) b

b/a = (60 × 3) / (2 × 100) = 9/10

Ratio of the second number to the first number
= 9 : 10

7. The ratio of chairs to tables in an office is 9 : 7. If there are 42 more chairs than tables, find the number of chairs in the office.

Correct Answer: (a) 189
Solution:

Let number of chairs in office be 9x and number of tables be 7x

According to the question,

9x − 7x = 42

⇒ 2x = 42

⇒ x = 21

∴ Number of chairs in the office = 9 × 21 = 189

8. The ratio of the salary of Ram, Raj and Rio is 5 : 7 : 9. If Rio receives Rs. 280 more than Ram, how much is the salary of Raj (in Rs.)?

Correct Answer: (d) 490
Solution:

Let the salaries of Ram, Raj and Rio be 5x, 7x, and 9x respectively

According to the question

9x − 5x = 280

⇒ 4x = 280

⇒ x = 280/4 = 70

Salary of Raj = 7 × 70 = Rs. 490

∴ the correct answer is Rs.490

9. If two numbers are in the ratio of 1 : 4 and each number is increased by 6 and their ratio becomes 1 : 2. Find the numbers.

Correct Answer: (c) 3 and 12
Solution:

Let the numbers are x and 4x.

According to question :

(x + 6) / (4x + 6) = (1/2)

⇒ 2x + 12 = 4x + 6

⇒ 6 = 2x

⇒ x = 3

∴ The numbers are 3 and 12

10. In a park, there are rabbits and pigeons in the ratio 4 : 7. If legs are counted, the total number of legs is 300. Find the number of rabbits.

Correct Answer: (c) 40
Solution:

Ratio of rabbits to pigeons in the park = 4x : 7x

Total number of legs = 300

According to the question

4 × 4x + 2 × 7x = 300

⇒ 16x + 14x = 300

⇒ 30x = 300

⇒ x = 300/30

⇒ x = 10

Number of rabbits = 4 × 10 = 40