Ratio - Aptitude MCQ Questions and Solutions with Explanations Page-1 section-4

Important Theory / Shots Trick on Ratio
Section 1 Section 2 Section 3 Section 4

1.
The monthly incomes of A and B are in ratio 3 : 5 and the ratio of their saving is 2 : 3. If the income of B is equal to three times the saving of A, then what is the ratio of the expenditures of A and B?

A. 5 : 8

B. 8 : 15

C. 3 : 7

D. 7 : 11

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2.
Rs. 6,300 is divided between X, Y, Z such that X : Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.

A. Rs. 1,800

B. Rs. 2,000

C. Rs. 2,200

D. Rs. 2,400

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3.
A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D 2 : 3. If the difference the shares of A and C is Rs. 3,510, then the share of D is:

A. Rs. 4,320

B. Rs. 3,240

C. Rs. 6,075

D. Rs. 4,050

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4.
The income of A is $$\frac{2}{3}$$ of B's income and the expenditure of A is $$\frac{3}{4}$$ of B's expenditure. If $$\frac{1}{3}$$ of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

A. 3 : 5

B. 5 : 3

C. 3 : 4

D. 4 : 3

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5.
The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly expenditures is 9 : 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the saving of X and Y?

A. 9 : 8

B. 6 : 7

C. 8 : 9

D. 7 : 6

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6.
A sum of Rs. 1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively?

A. Rs. 250, Rs. 575, Rs. 300, Rs. 175

B. Rs. 250, Rs. 575, Rs.300, Rs. 125

C. Rs. 350, Rs. 525, Rs. 300, Rs. 125

D. Rs. 250, Rs. 525, Rs. 300, Rs. 125

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7.
The ratio of boys and girls in a school is 27 : 23. If the difference between the number of boys and girls is 200, then find the number of boys.

A. 1350

B. 1250

C. 1300

D. 1200

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8.
Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:

A. 45

B. $$55\frac{5}{9}$$

C. $$44\frac{4}{9}$$

D. 56

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9.
If $$a:b:c = \frac{1}{4}:\frac{1}{3}:\frac{1}{2},$$ then $$\frac{a}{b}:\frac{b}{c}:\frac{c}{a} = ?$$

A. 12 : 9 : 8

B. 9 : 8 : 24

C. 8 : 9 : 24

D. 9 : 12 : 8

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10.
The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, then find the second number.

A. 80

B. 90

C. 86

D. 96

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Ratio - Aptitude MCQ Questions and Solutions with Explanations

1. The monthly incomes of A and B are in ratio 3 : 5 and the ratio of their saving is 2 : 3. If the income of B is equal to three times the saving of A, then what is the ratio of the expenditures of A and B?

Answer & Solution

2. Rs. 6,300 is divided between X, Y, Z such that X : Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.

Answer & Solution

3. A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D 2 : 3. If the difference the shares of A and C is Rs. 3,510, then the share of D is:

Answer & Solution

4. The income of A is $$\frac{2}{3}$$ of B's income and the expenditure of A is $$\frac{3}{4}$$ of B's expenditure. If $$\frac{1}{3}$$ of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

Answer & Solution

5. The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly expenditures is 9 : 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the saving of X and Y?

Answer & Solution

6. A sum of Rs. 1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively?

Answer & Solution

7. The ratio of boys and girls in a school is 27 : 23. If the difference between the number of boys and girls is 200, then find the number of boys.

Answer & Solution

8. Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:

Answer & Solution

9. If $$a:b:c = \frac{1}{4}:\frac{1}{3}:\frac{1}{2},$$ then $$\frac{a}{b}:\frac{b}{c}:\frac{c}{a} = ?$$

Answer & Solution

10. The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, then find the second number.

Answer & Solution

Read More Section(Ratio)

1.
The monthly incomes of A and B are in ratio 3 : 5 and the ratio of their saving is 2 : 3. If the income of B is equal to three times the saving of A, then what is the ratio of the expenditures of A and B?

2.
Rs. 6,300 is divided between X, Y, Z such that X : Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.

3.
A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D 2 : 3. If the difference the shares of A and C is Rs. 3,510, then the share of D is:

4.
The income of A is $$\frac{2}{3}$$ of B's income and the expenditure of A is $$\frac{3}{4}$$ of B's expenditure. If $$\frac{1}{3}$$ of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

5.
The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly expenditures is 9 : 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the saving of X and Y?

6.
A sum of Rs. 1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively?

7.
The ratio of boys and girls in a school is 27 : 23. If the difference between the number of boys and girls is 200, then find the number of boys.

8.
Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:

9.
If $$a:b:c = \frac{1}{4}:\frac{1}{3}:\frac{1}{2},$$ then $$\frac{a}{b}:\frac{b}{c}:\frac{c}{a} = ?$$

10.
The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, then find the second number.