Ratio and Proportion

Q.

The sides of a triangle are in the ratio $3:5:7$ and its perimeter is $300m.$ find the area of the triangle.

Q.

How to convert degree to percentage in pie chart ?

Q.

In how many ways can a girl and a boy be selected from a group of $15$ boys and $10$ girls?

1. $15\times 10$

2. $15+10$

3. ${}^{25}{P}_2$

4. ${}^{25}{C}_2$

Q.

The ages of Hari and Harry are in the ratio $5:7$. Four years from now, the ratio of their ages will be $3:4$. Find their present ages.

Q.

Find out the third proportional to $16$ and $36$.

Q.

A submarine left the surface of water at the rate of $-6\mathrm{feet}$per second. At that rate, how long, would the submarine take to reach $-180\mathrm{feet}$level?

Q.

The number of students who take both the subjects Mathematics and Chemistry is $30$. This represents $10\%$ of the enrollment in Mathematics and $12\%$ of the enrollment in Chemistry. How many students take at least one of these two subjects?

1. $520$

2. $490$

3. $560$

4. $480$

5. $540$

Q.

Factorize the following expression:

$x^2+\frac{1}{x^2}-2-3x+\frac{3}{x}$

Q. A and B together have ₹1210. If $\frac{4}{15}$ of A's amount is equal to $\frac{2}{5}$ of B's amount, how much amount does B have ?

1. ₹450
2. ₹484
3. ₹560
4. ₹654

Q.

Question 12

100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for
(a)30 days
$\left(b\right)\frac{96}{5}days$
(c)120 days
(d)40 days

Q.

If the ratio of land and water on earth is in the ratio of 1:2 and the ratio of land and water in the northern hemisphere is 2:3, what is the ratio of land and water in the southern hemisphere?

Q.

A recipe calls for 1 cup of milk for every $2\frac{1}{2}$ cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 persons?

Q.

Solve the following:

A man was engaged as typist for the month of february in $2009.$ He was paid $Rs.500$ per day, but $Rs.100$ per day were deducted for the days he remained absent. He received $Rs.9100$ as salary for the month. For how many days did he work?

Q.

Question 72

What is the cost of 27.5 m of cloth at Rs. 53.50 per metre?

Q.

In a class of 30 students, 18 students play cricket, 15 students play football and 12 play both the games. How many students in the class don't play either of the games?

1. 10

2. 0

3. 21

4. 9

Q.

The wall clock takes $6$ seconds to strike $4$, how much time it will take to strike $12$?

Q.

Question 7

Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?

Q.

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

1. 2 : 9

2. 3 : 4

3. 2 : 5

4. 3 : 5

Q.

A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84kg, then find the weight of each variety of tea.

Q.

Express $63km/h$ into $m/s$

Q.

Question 81

The earth rotates ${360}^{\circ }$ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

Q.

The length and breadth of a field are $1.2km$ and $400m.$ Find the ratio of length to breadth.

1. $1:3$
2. $2:4$
3. $3:1$
4. $4:2$

Q.

Question 6(b)

Find the ratio of the following:

98 to 63

Q.

Question 28

The lowest form of the product $2\frac{3}{7}\times \frac{7}{9}$ is ___

Q.

A group of five students contains 4 boys and 1 girl. Which of the following statements is correct?

1. The fraction of the group that is female is and the ratio of girls to boys is .

2. The fraction of the group that is male is and the ratio of girls to boys is
3. The fraction of the group that is female is and the ratio of girls to boys is .

4. The fraction of the group that is male is and the ratio of boys to girls is

Q.

Jim needs to rent a car. A rental company charges $\$21.00$ per day to rent a car and $\$0.10$ driven. for every mile.

He will travel $250$ miles.

He has $\$115.00$ to spend.

Write an inequality that can be used to determine $\$115.00$, the maximum number of days that Jim can rent a car.

Q.

Question 97

In the morning, a milkman filled $5\frac{1}{2}$ L of milk in his can. He sold to Renu, Kamla and Renuka $\frac{3}{4}$ L each: to Sharma, he sold $\frac{7}{8}$ L; And to Jassi, he gave 1 $\frac{1}{2}$ How much milk is left in the can?.

Q.

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

1. Pens - 330; Notebooks - 320; Books - 195; Others - 235

2. Pens - 360; Notebooks - 320; Books - 175; Others - 225

3. Pens - 360; Notebooks - 300; Books - 195, Others - 225

4. Pens - 390; Notebooks - 300; Books - 175; Others - 215

Q.

The ratio between the number of boys and girls in a school is $4:5$. If the number of boys are increased by $30\%$ and the number of girls increased by $40\%$, then what will the new ratio of boys and girls in the school.

Q.

Question 03.
In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?