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Ratio and Proportion Exercise 2

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Ratio and Proportion 2

  • 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.

The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10 % respectively, what will be the new ratio?

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x)

ratio-and-proportion-q-62137.png

ratio-and-proportion-q-62131.png

∴ Required ratio

= ratio-and-proportion-q-62125.png

In what proportion must a number be divided so that ¼ of the first part and ⅓ of the second part are together equal to ½ of the original number?

Let number be divided in ratio x : y. Then

First part ratio-and-proportion-q-62112.png,

second part ratio-and-proportion-q-62106.png

Now, ratio-and-proportion-q-62100.png

Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?

For 9 kg zinc, mixture melted = (9 + 11) kg.

For 28.8 kg zinc, mixture melted

= ratio-and-proportion-q-62094.png

The Binary Ice-cream Shopper sells two flavours : Vanilla and Chocolate. On Friday, the ratio of Vanilla cones sold to Chocolate cones sold was 2 : 3. If the store had sold 4 more Vanilla cones, then, the ratio of Vanilla cones sold to the Chocolate cones sold would have been 3 : 4. How many Vanilla cones did the store sell on Friday?

ratio-and-proportion-q-62874.png and ratio-and-proportion-q-62868.png …(1)

∴ C = ratio-and-proportion-q-62862.png

⇒ ratio-and-proportion-q-62856.png [From (1)]

where V denoted for vanilla and C for chocolate.

⇒ 4V + 16 = ratio-and-proportion-q-62850.png

⇒ 8V + 32 = 9V

⇒ V = 32

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15

and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24

Therefore, A : B : C = 10 : 15 : 24

Let the numbers be 10x, 15x and 24x.

Then, 10x + 15x + 24x = 98

⇒ 49x = 98

⇒ x = 2

⇒ Second number = 15x = 15 × 2 = 30

The ratio of number of ladies to gents at a party was 1 : 2, but when 2 ladies and 2 gents left, the ratio became 1 : 3. How many people were originally present at the party?

Let number of ladies = x

and, number of gents = 2x

Now, ratio-and-proportion-q-62843.png

⇒ x = 4

∴ Total number of people originally present = 4 + 8 = 12

A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets ₹10,000 less than the son, find the total worth of the property.

Let Son’s share = ₹S;

Daughter’s share = ₹D;

and Wife’s share = ₹W.

Also, S : W = W : D = 3 : 1

∴ S : W : D = 9 : 3 : 1

then S = 9x , D = x

and 9x – x = 10,000

⇒ x = ₹1250

∴ Total worth of the property

= (9 + 3 + 1) x = 13x

= 13 × 1250 = ₹16,250

Mrs X spends ₹535 in purchasing some shirts and ties for her husband. If shirts cost ₹43 each and the ties cost ₹21 each, then what is the ratio of the shirts to the ties, that are purchased?

Let S denotes the shirts and T denotes the ties.

We have, 43S + 21T = 535

By hit and trial, S = 10, T = 5

⇒ 43 × 10 + 21 × 5 = 535

∴ Ratio of shirts to ties = 10 : 5 = 2 : 1

The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day, ₹1325 revenue collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

Let, the number of passengers travelling by I and II class be x and 50x and fares of I and II class be 3y and y.

∴ Revenue is x × 3y + 50x × y = ₹1325

53xy = 1325

⇒ xy = 25

∴ Amount collected from the II class passengers

= 50xy

= 50 × 25

= ₹1250.

Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12, respectively. If during a year, the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and total amount collected by the sale of tickets was ₹1088, then find the collection from the passengers of 1st, class.

Fare after reduction.

1st classes2nd classes3rd classes
8 – ⁸⁄₆6 – ⁶⁄₁₂3
²⁰⁄₃¹¹⁄₂3
403318

Ratio of revenue

1st2nd3rd
9 × 4012 × 3326 × 18

Ratio of revenue of all three classes

= 10 : 11 : 13

∴ Collection for 1st class

ratio-and-proportion-q-63725.png

The income of A and B are in the ratio 3 : 2 and expenses are in the ratio 5 : 3. If both save ₹200, what is the income of A?

Let income of A = ₹3x,

income of B = ₹2x

and expenditure of A = ₹5y,

expenditure of B = ₹3y

Now, saving = income – expenditure

∴ 3x – 5y = 2x – 3y = 200

⇒ x = 2y and y = 200

∴ x = 400

∴ A’s income = ₹1200

A sum of money is divided among A, B and C in the ratio of 3¾ : 4 : 5.5. If the lowest share is ₹30, then the total amount of money is

Let A’s share ratio-and-proportion-q-63719.png,

B’s share = ₹4x and

C’s share = ₹5.5x

Given ratio-and-proportion-q-63713.png

∴ Total amount = 30 + 32 + 44 = ₹106

At a start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break 16 participants left and 6 more female participants registered. The ratio of the male to the female participants now became 2 : 1. What was the total number of participants at the start of the seminar?

Let the number of male and female participants be 3x and x respectively.

therefore total no. of participants are 4x.

During the tea break, the number of male participants are

ratio-and-proportion-q-63707.png ... (i)

and the number of female participants are

ratio-and-proportion-q-63700.png ... (ii)

Now, ratio-and-proportion-q-63694.png

⇒ 3x – 12 = 2x + 4

⇒ x = 16

Therefore, the total number of participants = 4 × 16 = 64.

The ratio of the present ages of Sushma and Karishma is 6:7 respectively. The ratio of their ages 8 years hence would be 8:9 respectively. What would be the respective ratio of their ages after 12 years?

Let the present ages of Sushama and Karishma be 6x and 7x respectively.

∴ ratio-and-proportion-q-61332.png

or 56x + 64 = 54x + 72

ratio-and-proportion-q-61326.png

Required ratio

=ratio-and-proportion-q-61320.png

= 9 : 10

The ratio of the present ages of Smita and Kavita is 3:8 respectively. Seven years hence the respective ratio of their ages will be 4:9. What is Kavita’s present age?

Let the present ages of Smita and Kavita be 3x and 8x years respectively

According to questions,

ratio-and-proportion-q-61394.png

⇒ 32 x + 28 = 27x + 63

⇒ 32x – 27x = 63 – 28

⇒ 5x = 35

⇒ x = ratio-and-proportion-q-61387.png = 7

∴ Kavita’s present age = 8x = 8 × 7 = 56 years

The average age of a man and his son is 48 years. The ratio of their ages is 5 : 3 respectively. What is the son’s age?

Let the ages of man and his son be 5x and 3x respectively.

5x + 3x = 2 × 48

⇒ 8x = 96

⇒ x = ratio-and-proportion-q-61370.png = 12

∴ Son’s age = 12 × 3 = 36 years

The ages of Nishi and Vinnee are in the ratio of 6 : 5 respectively. After 9 years the ratio of their ages will be 9 : 8. What is the difference in their ages?

Difference in age

ratio-and-proportion-q-61364.png

ratio-and-proportion-q-61358.png

= 3 years

The difference between the present ages of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s present age?

Let Arun’s present age be x years.

Then, Deepak’s present age = (x + 14) years

Then, ratio-and-proportion-q-61958.png

⇒ 7x – 5x = 35 + 49

ratio-and-proportion-q-61951.png

∴ Deepak’s present age

= 42 + 14 = 56 years

At present Meena is eight times her daughter’s age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10 : 3 respectively. What is Meena’s present age?

Present age of Meena

= ratio-and-proportion-q-61945.png

= ratio-and-proportion-q-61939.png

= 32 years

The ratio of the ages of a father and son is 17 : 7 respectively. 6 years ago the ratio of their ages was 3 : 1 respectively. What is the father’s present age?

Let the present age of father and son be 17x and 7x respectively.

Then, ratio-and-proportion-q-61933.png

⇒ 21x – 17x = 18 – 6

⇒ x = 12 ÷ 4 =3

∴ Father’s present age

= 17 × 3 = 51 years.

The respective ratio of the present ages of Swati and Trupti is 4: 5. Six years hence the respective ratio of their ages will be 6 : 7. What is the difference between their ages?

Let the present ages be 4x and 5x respectively.

Then, ratio-and-proportion-q-61927.png

⇒ 30x – 28x = 42 – 36

⇒ x = ⁶⁄₂ = 3

∴ Difference in age

= 5x – 4x = x = 3 years

The average age of three boys is 25 years and their ages are in the proportion 3: 5 : 7. The age of the youngest boy is:

Total age of 3 boys

= (25 × 3) years

= 75 years

Ratio of their ages = 3 : 5 : 7.

Age of the youngest boy

= ratio-and-proportion-q-62082.png years

= 15 years

A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is ₹35, how many coins of each type are there?

Let number of each type of coin = x. Then,

1 × x + 0.50 × x + 0.25 x = 35

⇒ 1.75x = 35

⇒ x = 20 coins

Now check your Result..

Your score is

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