## Ratio MCQ’S

## Results

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### #1. If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to

**Option A**

### #2. The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 students are increased in each class this ratio changes to 8 : 11 : 14. The total number of students in the three classes in the beginning was

**Option A**

Let the number of students in the classes be 2x, 3x and 4x respectively;

Total students = 2x 3x 4x = 9x

### #3. A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one-rupee coin is

**Option D**

Respective ratio of the number of coins;

= 13 : 11 × 2 = 13 : 22

Hence, Number of 1 rupee coins;

= 13×210/13 22

= 78

### #4. If 2/3 of A=75% of B = 0.6 of C, then A : B : C is

**Option D**

### #5. If A and B are in the ratio 3 : 4, and B and C in the ratio 12 : 13, then A and C will be in the ratio

**Option B**

### #6. The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio

**Option C**

Let A’s Salary = Rs. 100

Then, B’s Salary = Rs. 300

And, C’s Salary = Rs. 400

Salary has given in 1 : 3 : 4 ratio

Now,

5% increase in A’s Salary,

A’s new Salary = (100 5% of 100) = Rs. 105

B’s Salary increases by 10%, Then,

B’s new Salary = (300 10% of 200) = Rs. 330

C’s Salary increases by 15%,

C’s new Salary = (400 15% of 400) = Rs. 460

Then, ratio of increased Salary,

A : B : C = 105 : 330 : 460 = 21 : 66 : 92

**Alternative**

100 (A’s salary) === 5%↑ ===> 105(A’s increased salary)

300 (B’s salary) === 10%↑ ===> 330 (B’s increased salary)

400 (C’s salary) === 15%↑ ===> 460 (C’s increased salary)

Ratio of their increased salary = 105 : 330 : 480 = 21 : 66 : 92

### #7. If A : B = 2 : 3 and B : C = 4 : 5 then A : B : C is

**Option C**

A : B : C = 2 × 4 : 3 × 4 : 3 × 5 = 8 : 12 : 15

### #8. If two times A is equal to three times of B and also equal to four times of C, then A : B : C is

**Option D**

### #9. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls becomes

**Option D**

Boys : girls = 8 : 5 (let the boys = 8x, girl = 5x)

Total strength = 286

8x 5x = 286

13x = 286

Or, x =

Boys = 176 and girls = 110

22 more girls get admitted then number of girls become

(5x 22) = 110 22 = 132

Now, new ratio of boys and girls = 176 : 132 = 4 : 3

### #10. Two numbers are in ratio 4 : 5 and their LCM is 180. The smaller number is

**Option C**

Let two numbers be 4x and 5x

Their LCM = 180 and HCF = x

Now,

**1 ^{st} number × 2^{nd} number = LCM × HCF**

Or, 4x × 5x = 180 × x

Or, 20x = 180

Or, x = 9

Then, the smaller number = 4 × 9 = 36