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- Most Important Multiple Choice Questions
- Online Ratio and Proportion Exercise with Correct Answer Key and Solutions
- Useful for all Competitive Exams

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- Question 1 of 23
##### 1. Question

Pinku, Rinku and Tinku divide an amount of Rs 4,200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs 200 is added to each of their shares, what will be the new respective ratio of their shares of amount?

##### Hint

Ratio of the amounts received by A, B and C = 7 : 8 : 6

∴ Sum of the ratios = 7 + 8 + 6 = 21

Sum received by

Pinku = × 4200 = Rs 1400

Rinku = × 4200 = Rs 1600

Tinku = × 4200 = Rs 1200

According to the question,

On adding Rs 200 to the share of each one,

the required ratio

= 1600 : 1800 : 1400 = 8 : 9 : 7

- Question 2 of 23
##### 2. Question

The total number of students in a school is 3250. If the number of girls in the school is 1495, then what is the respective ratio of the total number of boys to the total number of girls in the school?

##### Hint

Total number of students = 1495

∴ Number of boys

= 3250 – 1495 = 1755

∴ Required ratio

= 1755 : 1495 = 27 : 23

- Question 3 of 23
##### 3. Question

Rinku and Pooja started a business initially with Rs 5,100 and Rs 6,600 respectively. If the total profit is Rs 2,730 what is Rinku’s share in the profit?

##### Hint

Ratio of the capital of Rinku and Pooja

∴ Rinku’s share = Rs 1190

- Question 4 of 23
##### 4. Question

A sum of money is to be divided equally amongst A, B, and C in the respective ratio of 3:4:5 and another sum of money is to be divided between E and F equally. If F got Rs 1050 less than A, how much amount did B receive?

##### Hint

The sum of money is not known.

- Question 5 of 23
##### 5. Question

The total number of boys in a school is 15% more than the total number of girls in the school. What is the respective ratio of the total number of boys to the total number of girls in the school?

##### Hint

Let the number of girls be = x

∴ Number of the boys =

∴ Required ratio =

∴ x = 23 : 20

- Question 6 of 23
##### 6. Question

Which number should replace both the question marks in the following equation?

##### Hint

⇒ ?² = 84 × 189

⇒ ?² = 21 × 4 × 21 × 9

⇒ ?² = 21² × 2² × 3²

∴ ? = 21 × 2 × 3 = 126

- Question 7 of 23
##### 7. Question

If A : B : C = 2 : 3 : 4,

then is equal to :##### Hint

Let A = 2x, B = 3x and C = 4x. Then,

- Question 8 of 23
##### 8. Question

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs 1000 more than D, what is B’s share?

##### Hint

Let the shares of A, B, C and D be Rs 5x, Rs 2x, Rs 4x and Rs 3x respectively.

Then, 4x – 3x = 1000

⇒ x = 1000

∴ B’s Share = Rs 2x = Rs 2000

- Question 9 of 23
##### 9. Question

Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?

##### Hint

Required ratio

=

= 5 × 140 : 7 × 150 : 8 × 175

= 2 : 3 : 4

- Question 10 of 23
##### 10. Question

Ratio of the earning of A and B is 4:7 respectively. If the earnings of A increases by 50% and the earnings of B decreases by 25% the new ratio of their earnings becomes 8:7 respectively. What are A’s earnings?

##### Hint

According to the question,

… (i)

and … (ii)

From equations (i) and (ii), we cannot find the earning of A and B.

- Question 11 of 23
##### 11. Question

In a college the students in Arts and Commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined Commerce faculty the ratio became 8 : 11 respectively. How many students are there in Arts faculty?

##### Hint

Let number of students in Arts and Commerce were 4x and 5x respectively. Then,

⇒ 44x – 40x = 520

⇒ x =

∴ Number of students in Arts

= 4 × 130 = 520

- Question 12 of 23
##### 12. Question

The ratio between the boys and girls in a class is 6 : 5 respectively. If 8 more boys join the class and two girls leave the class then the respective ratio becomes 11 : 7. What is the number of boys in the class now?

##### Hint

Let the original number of boys and girls be 6x and 5x respectively. Then,

∴ Number of boys

= 6 × 6 + 8 = 44

- Question 13 of 23
##### 13. Question

If ½ of Sunit’s salary is equal to ⅖ of Rajan’s salary and their total salary is Rs 36,000, find Rajan’s salary.

##### Hint

Ratio of the salaries of Sumit and Rajan

=

Rajan’s salary

=

- Question 14 of 23
##### 14. Question

The largest and the second largest angles of a triangle are in the ratio of 13 : 12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

##### Hint

Smallest angle

=

∴ Ratio of angles = 13 : 12: 5

∴ Sum of smallest and second largest angles

=

=

= 102°

- Question 15 of 23
##### 15. Question

Mr. Pandit owned 950 gold coins all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20 : 73 : 83. How many gold coins did Amita receive from Mr. Pandit?

##### Hint

Required number of gold coins

=

= 365 + 15

= 380

- Question 16 of 23
##### 16. Question

Salaries of A, B and C were in the ratio of 3 : 5 : 7 respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries?

##### Hint

Suppose the salaries of A, B and C were 300k, 500k and 700k respectively.

After increment, salary of

A = 300k + 50% of 300k = 450k

B = 500k + 60% of 500k = 800k

C = 700k + 50% of 700k = 1050k

Hence, new ratio of the respective salaries of A, B and C

= 450k : 800k : 1050k = 9 : 16 : 21

- Question 17 of 23
##### 17. Question

At Narmada Sarovar Bachao (NSB) demonstration, supporters of Ms Patkar outnumbered the police by 9 : 1. The police arrested 135 NSB supporters averaging 5 for every 3 policemen. How many supporters of NSB were there in the demonstration?

##### Hint

The number of police involved

∴ Required number of supporters

= 81 × 9 = 729

- Question 18 of 23
##### 18. Question

The scale of map is ¾ of cm = 1 km. If the distance on the map between two towns is 60 cm, then the actual distance is

##### Hint

Let actual distance be x km. Then,

⇒

⇒

- Question 19 of 23
##### 19. Question

The ratio of the number of boys and girls in a school is 2 : 5. If there was 350 students in the school, find the number of girls in the school.

##### Hint

Number of girls

- Question 20 of 23
##### 20. Question

The salaries of A,B,C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

##### Hint

Let A = 2k, B = 3k and C = 5k.

A’s new salary

B’s new salary

C’s new salary

∴ New ratio

- Question 21 of 23
##### 21. Question

In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1:2:7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is Rs 54, 000, find the income of Indian Railways from A.C. sleeper class.

##### Hint

Let number of passengers = x, 2x, 7x

and Rate = 5y, 4y, 2y

Now, since income = Rate × Number of passengers

∴ Income of passengers = 5xy, 8xy, 14 xy

∴ Income in ratio = 5 : 8 : 14

∴ Income from A.C. sleeper class

=

= Rs 10, 000

- Question 22 of 23
##### 22. Question

What is the ratio whose terms differ by 40 and the measure of which is ²⁄₇?

##### Hint

Let the ratio be x : (x + 40). Then,

∴ Required ratio = 16 : 56.

- Question 23 of 23
##### 23. Question

A photograph measuring is to be enlarged so that the length will be 4 inch. How many inches will the enlarged breadth be?

##### Hint

Let enlarged breadth be x inches. Then,

⇒

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