MCQ: Ratio and Proportion - 3 - SSC CGL MCQ

Let the number of 10-rupee notes = 5x and 20-rupee notes = 8x
10 × 5x + 20 × 8x = 630
x = 3
Number of 10-rupee notes = 5x = 15
Number of 50-rupee notes = 15 + 3 = 18
50 rupee notes : 5 rupee notes = 3 : 7
As, 50 rupee notes = 18 therefore 5 rupee notes = 42
Total amount with Seema = 18 × 50 + 42 × 5 = 1110
Hence, option D is correct.

Ratio of money Initial : Final

Initial : Final = 24 : 35
Amount in the bag after replacement

Hence, option B is correct.

Ratio of the number of coins of denomination (rupee) 5 : 1 : 0.5 : 0.25 : 0.1 = 9 : 8 : 9 : 12 : 20
Let the number of coins be 9x, 8x, 9x, 12x, 20x
Total amount of money = 9x × 5 + 8x × 1 + 9x × 0.5 + 12x × 0.25 + 20x × 0.1 = 375
45x + 8x + 4.5x + 3x + 2x = 375
x = 6
Amount remaining = 9x × 5 + 8x × 1 = 53x = 53 × 6 = Rs. 318
Hence, option B is correct.

Lert the number of males = M and the number of females = 32,000 − M

M = 20,000
Initially Male population = 20,000
Female population = 12,000

Hence, option D is correct.

Runs scored by New Zealand in 24 overs = r
Runs scored by Australia in 25 overs = r – 16

r = 216
r – 16 = 200
Runs scored by Australia = 200
Hence, option A is correct.

In A- Milk : Water = 9 : 2
Let milk = 9a and water = 2a
In B- Milk : Water = 16 : 21
Let milk = 16b and water = 21b
(9a – 16b) : (2a + 21b) = 5 : 3
a : b = 9 : 1
Reqd. ratio = 11a : 37b
11 × 9 : 37 × 1 = 99 : 37
Hence, option B is correct.

Let the total strength of college = 90


and girls = 90 – 63 = 27

and Girls = 45 – 40 = 5
In Beta Girls = 5 × 3 = 15,

In Alpha, boys = 63 – (40 + 10) = 13
and girls = 27 – (15 + 5) = 7
Girls in Alpha : Boys in Beta = 7 : 10
Reqd. ratio = 7 : 10
Hence, option A is correct.

Let A = 3x, B = 8x and C = 5x
(3x)² + (8x)² + (5x)² = 7350 × 3
x = 15
A = 45 and B = 75
(A + 5) : (B − 5) = 45 + 5 : 75 – 5 = 5 : 7
Hence, option A is correct.

(a + 2b) : (3c – d) = 6 : 5
5a + 10b = 18c – 6d
(5a + 5b) + 5b = 18c – 6d --------------- (1)
c : d = 3 : 4 or 4c = 3d
So, 6d = 8c --------------- (2)
(a + b) : c = 7 : 6




b : c : d = 5 : 6 : 8
(a + b) : c = 7 : 6
a : b : c : d = 2 : 5 : 6 : 8
(c − b) : a = (6 – 5) : 2 = 1 : 2

Salary of A : B : C in 2020 = 12 : 7 : 5

So, Salary of A : B : C in 2022 = 16 : 8 : 14
Increase in salary of C from 2020 to 2022

Hence, option B is correct.

Ratio of initial value : Final value = (8 + 4 + 3)² : (8² + 4² + 3²) 
Value of stone Initially : Finally = 225 : 89

Hence, option A is correct.

A : B = 8 : 11 and later A : B = 43 : 55
Keeping the difference equal
A : B = 32 : 44 and later A : B = 43 : 55
Difference of (43 – 32 = 11) corresponds to 132

Number of students in C now = 71 × 12 = 852
Hence, option C is correct.

Let the amount earned in a day be a, b and c
25(a + b) = 22c
9(c + a) = 38b
a + b : c = 22 : 25
c + a : b = 38 : 9
a : b : c = 13 : 9 : 25
After giving 20% of 25 to other two = 13 + 5 : 9 + 5 : 25 – 10 = 18 : 14 : 15
Reqd. ratio = 14 : 15
Hence, option C is correct.

Ratio initially A : B: C = 5 : 4 : 11

We can see that B gains the most
Required amount

Hence, option A is correct.

Income Raman : Karan = 9 : 8
Expenditure Raman : Karan = 5 : 6
Income (Raman) = 9x and Income (Karan) = 8x
Expenditure (Raman) = 5y and Expenditure (Karan) = 6y
(9x – 5y) : (8x – 6y) = 13 : 10
x : y = 2 : 1


Hence, option B is correct.