Ratio

Q.

In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quantity of water to be further added is __________

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Q.

Ten years ago , P was half of Q's age. If the ratio of their present ages is 3:4. What will be the total of their present ages

Q.

Two numbers are in the ratio 3:5. If 9 is subtracted from each number, the ratio becomes 12:23. The smaller number is:

1. 27

2. 33

3. 49

4. 55

Q.

Q.

If 40$\%$ of a number is equal to two-third of another number, what is the ratio of the first number to the second number?

1. 3:5

2. 5:2

3. 5:3

4. 3:4

Q.

Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:

1. 27

2. 55

3. 33

4. 49

Q.

In a regiment, the ratio of number of officers to the number of soldiers was 3 : 31 before a battle. In the battle 6 officers and 22 soldiers were killed. The ratio between the number of officers and the number of soldiers now is 1 : 13. Find the number of officers and soldiers in the regiment before the battle.

1. The no. of officers before battle = 21 and the no. of soldiers before battle = 217

2. The no. of officers before battle = 217 and the no. of soldiers before battle = 21

3. The no. of officers before battle = 48 and the no. of soldiers before battle = 336

4. The no. of officers before battle = 336 and the no. of soldiers before battle = 48

Q. A man earns ₹600 more than his wife. One-tenth of Man's salary and one-sixth of the wife's salary amount to ₹1500 which is saved every month.Find their monthly expenditures.

Q.

If A:B:C = 2:3:4, then $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is equal to _________________

1. 8:9:24

2. 8:4:24

3. 9:4:24

4. 9:9:24

Q. Question 5 (c)
Find the whole quantity if
c) $40\%ofitis500km$

Q.

Mixed ratio or compound ratio of 6:5, 5:3, 4:9 will be

1. 8:9

2. 9:8

3. 2:3

4. None of the above

Q. If numerator of a fraction is increased by 1 and denominator is decreased by 1 then fraction becomes 1/2. If numerator is increased by less than twice of itself while denominator is increased by 2 more than thrice of itself then fraction becomes 1/6 the original fraction is.....

Q.

Two numbers are in the ratio 1:2. If 7 is added to both, their changes to 3:5. The greatest number is :

1. 28

2. 32

3. 24

4. 26

Q.

In a basket, the ratio between the number of oranges and the number of apples is 7 : 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2. Find the original number of oranges and the original number of apples in the basket.

Q.

If 0.4 of a number is equal to 0.06 of another number, the ratio of the number is:

1. 2 : 3

2. 3 : 4

3. 3 : 20

4. 20 : 3

Q.

In an office, the working hours are from 10.30 AM to 5.30 PM. In between, 30 minutes are spent on lunch.Find the ratio of office hours to the time spent for lunch.

1. 7 : 30

2. 1 : 14

3. 14 : 1

4. 30 : 7

Q.

Two numbers are in the ratio 3 : 5. If 8 is added to each number the ratio becomes 2 : 3. Find the numbers.

1. 34, 45

2. 54, 47

3. 22, 44

4. 24, 40

Q.

If 76 is divided into four parts proportional to 7 : 5 : 3 : 4, then the smallest part is ___

Q.

Express the ratio 15 : 35 in its simplest form

1. 5 : 7

2. 3 : 7

3. 2 : 3

4. 4 : 5

Q.

If A:B = $\frac{1}{2}:\frac{3}{8}$, B:C = $\frac{1}{3}:\frac{5}{9}$ and C:D = $\frac{5}{6}:\frac{3}{4}$, then the ratio A:B:C:D is

1. 8:6:10:9

2. 4:6:10:9

3. 4:6:5:9

4. 8:6:5:9

Q. The numerator of a fraction is 3 less than its denominator. If 1 is added to the denominator, the fraction is decreased by $\frac{1}{15}$. Find the fraction. [CBSE 2012]

Q. A person on tour has ₹10800 for his expenses. If he extends his tour by 4 days, he has to cut down his daily expenses by ₹90. Find the original duration of the tour.

Q.

Write three equivalent ratios of $8:14.$

Q.

If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is ______

___

Q.

Divide$1400$ into three parts such that the $1^{st}$ part is $\frac{2}{3}$of the $2^{nd}$part and the ratio between the $2^{nd}$ and the $3^{rd}$ part is$4:5$.

Find each part.

Q.

If $\frac{x^2+y^2}{x^2-y^2}=\frac{17}{8}$, then $\frac{x}{y}$?

1. $\frac{5}{3}$

2. $\frac{9}{25}$

3. $\frac{6}{8}$

4. $\frac{7}{13}$

Q.

Define componendo and dividendo along with their applications in mathematics.

Q.

Four numbers in the ratio 1: 3: 4: 7 add up to give a sum of 105. Find the value of the biggest number.

___

Q.

By increaseing the cost of entry ticket to a fair in the ratio 10 : 13, the number of visitors to the fair has decreased in the ratio 6 : 5. In what ratio has the total collection increased or decreased ?

Q.

The ratio of milk : water in a can containing 60 litres of milk is 2 : 1. The quantity of water to be added to the can to make the ratio of milk : water 1:2 is _____ litres.

1. 50

2. 30

3. 80

4. 60