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Ratio and Proportion Exercise 1

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Ratio and Proportion 1

  • This online quiz will test your knowledge of Ratio and Proportion in Quantitative Aptitude.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

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

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 = ratio-and-proportion-q-61211.png× 4200 = ₹1400

Rinku = ratio-and-proportion-q-61205.png× 4200 = ₹1600

Tinku = ratio-and-proportion-q-61199.png× 4200 = ₹1200

According to the question,

On adding ₹200 to the share of each one,

the required ratio

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

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?

Total number of students = 1495

∴ Number of boys

= 3250 - 1495 = 1755

∴ Required ratio

= 1755 : 1495 = 27 : 23

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

Ratio of the capital of Rinku and Pooja

ratio-and-proportion-q-61192.png

∴ Rinku’s share ratio-and-proportion-q-61186.png= ₹1190

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 ₹1050 less than A, how much amount did B receive?

The sum of money is not known.

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?

Let the number of girls be = x

∴ Number of the boys = ratio-and-proportion-q-61239.png

∴ Required ratio = ratio-and-proportion-q-61233.png

∴ x = 23 : 20

Which number should replace both the question marks in the following equation?
61647.png

ratio-and-proportion-q-61812.png

⇒ ?² = 84 × 189

⇒ ?² = 21 × 4 × 21 × 9

⇒ ?² = 21² × 2² × 3²

∴ ? = 21 × 2 × 3 = 126

If A : B : C = 2 : 3 : 4,
then 61634.png is equal to :

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

ratio-and-proportion-q-61776.png

ratio-and-proportion-q-61770.png

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

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

Then, 4x – 3x = 1000

⇒ x = 1000

∴ B’s Share = ₹2x = ₹2000

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?

Required ratio

=ratio-and-proportion-q-61249.png

= 5 × 140 : 7 × 150 : 8 × 175

= 2 : 3 : 4

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?

According to the question,

ratio-and-proportion-q-61288.png ... (i)

and ratio-and-proportion-q-61282.png ... (ii)

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

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?

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

ratio-and-proportion-q-61860.png

⇒ 44x – 40x = 520

⇒ x = ratio-and-proportion-q-61854.png

∴ Number of students in Arts

= 4 × 130 = 520

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?

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

ratio-and-proportion-q-61848.png

ratio-and-proportion-q-61842.png

ratio-and-proportion-q-61836.png

∴ Number of boys

= 6 × 6 + 8 = 44

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

Ratio of the salaries of Sumit and Rajan

= ratio-and-proportion-q-61907.png

Rajan’s salary

= ratio-and-proportion-q-61901.png

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?

Smallest angle

= ratio-and-proportion-q-61895.png

∴ Ratio of angles = 13 : 12: 5

∴ Sum of smallest and second largest angles

= ratio-and-proportion-q-61889.png

= ratio-and-proportion-q-61883.png

= 102°

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?

Required number of gold coins

= ratio-and-proportion-q-61877.png

= 365 + 15

= 380

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?

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

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?

The number of police involved

ratio-and-proportion-q-62230.png

∴ Required number of supporters

= 81 × 9 = 729

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

Let actual distance be x km. Then,

ratio-and-proportion-q-62224.png

⇒ ratio-and-proportion-q-62218.png

⇒ ratio-and-proportion-q-62212.png

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.

Number of girls

ratio-and-proportion-q-62206.png

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?

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

A’s new salary

ratio-and-proportion-q-62187.png

B’s new salary

ratio-and-proportion-q-62181.png

C’s new salary

ratio-and-proportion-q-62174.png

∴ New ratio

ratio-and-proportion-q-62167.png

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 ₹54, 000, find the income of Indian Railways from A.C. sleeper class.

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

= ratio-and-proportion-q-62161.png

= ₹10, 000

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

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

ratio-and-proportion-q-62155.png

∴ Required ratio = 16 : 56.

A photograph measuring 62310.png is to be enlarged so that the length will be 4 inch. How many inches will the enlarged breadth be?

Let enlarged breadth be x inches. Then,

ratio-and-proportion-q-62149.png

⇒ ratio-and-proportion-q-62143.png

Now check your Result..

Your score is

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