Percentages as Equivalent Fractions

Q.

In a certain town$25\%$ of families own a phone and$15\%$ own a car, $65\%$ of families own neither a phone nor a car.$2000$ families own both a car and a phone. Consider the following statements in this regard

1.$10\%$ of families own both a car and a phone

2. $35\%$ of families own either car or a phone

3. $40,000$families live in the town?

Which of the above statements are correct?

1. $1$ and $2$

2. $1$ and $3$

3. $2$ and $3$

4. $1,2$and $3$

Q. Calculate the percentage of the shaded part in the following figure.

1. 25%
2. 65%
3. 35%
4. 15%

Q.

A man spends 70% of his salary and saves ₹ 7500 per month. Find his monthly salary.

1. ₹ 28000
2. ₹ 22500
3. ₹ 25000
4. ₹ 30000

Q.

A percentage is a fraction whose denominator is always ___ .

Q.

How do you write $12.5\%$ as a fraction in the simplest form?

Q.

12.5% in fractional form is written as ____.

1. $\frac{1}{2}$
2. $\frac{1}{8}$
3. $\frac{1}{6}$
4. $\frac{1}{12}$

Q.

A batsman scored $110$ runs which included $3$ boundaries and $8$ sixes. What per cent of his total score did he make by running between the wickets?

Q.

Question 67

In questions 60 to 79, state whether the statements are True or False.
If Ankita obtains 336 marks out of 600, then percentage of marks obtained by her is 33.6 %.

Q.

Question 113

In an entertainment programme, 250 tickets of ₹ 400 and 500 tickets of ₹ 100 were sold. If the entertainment tax is 40% on a ticket of ₹ 400 and 20% on a ticket of ₹ 100, then find how much entertainment tax was collected from the programme?

Q. 60% of __ is 420?

Q.

75% can be written in fraction as:

1. $\frac{1}{4}$

2. $\frac{1}{2}$

3. $\frac{3}{4}$

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

Q.

Question 9

225 % is equal to
(a) 9 : 4
(b) 4 : 9
(c) 3 : 2
(d) 2 : 3

Q.

Convert the following decimals into percentage.

Q.

$43\%$ of the students in a school are girls. If the number of boys is $1482$, find:

(i) the total strength of the school.

(ii) number of girls in the school.

Q.

Rashi can travel 4 hours after having a Pizza, while Rashid can travel for 6 hours after having a pizza. How many more hours can Rashid travel than Rashi after having a Pizza? Express in terms of percentage.
[2 MARKS]

Q.

Express $0.04\%$ as fraction in the lowest term.

Q. How to convert a fraction into a percentage

Q. Convert each of the following decimals into a percentage:

(i) 0.6
(ii) 0.42
(iii) 0.07
(iv) 0.005

Q.

A fruit seller sold 40% of his apples and was left with 420 apples. What is the number of apples he had initially?​

1. 600

2. 700

3. 605

4. 708

Q.

A product is updated with 20% VAT after a cost price of Rs. 500. Find the bill to be paid in rupees.

__

Q. Convert each of the following into decimal form:

(i) 45%
(ii) 127%
(iii) 3.6%
(iv) 0.23%

Q.

The distance between two places is 10 km. A person travels 4 km, which is $44\%$ of the entire journey.

1. False

2. True

Q.

What is 40% of 20?

1. 8

2. 14

3. 12

4. 10

Q.

What will be the cost of the product in rupees after adding 10% sales tax on Rs 400?

___

Q. Percentage is a fraction whose denominator is always 1000.

1. True
2. False

Q.

Question 32

In questions 24 to 59, fill in the blanks to make the statements true.
The weight of Nikhil increased from 60 kg to 66 kg. Then, the increase in weight is ___ %

Q.

40% of the rat population in Hamelin perished due to a famine. The remaining 60% were drawn out of the town by the Pied Piper of Hamelin. If there were 48000 rats in the town originally, how many rats died due to the famine?

1. 20000

2. 20200

3. 19200

4. 18600

Q.

The cost of a machine decreases by 10 % every year. Find the price after 2 years , if the initial cost of the machine was ₹ 30000.

1. ₹ 24700

2. ₹ 25300

3. ₹ 25000

4. ₹ 24300

Q.

Question 34

In questions 24 to 59, fill in the blanks to make the statements true.
Savitri obtained 440 marks out of 500 in an examination. She secured ___ % marks in the examination.

Q.

There are 30 fruits in a bag out of which 12 are oranges, 8 are bananas and 10 are apples.The percentage of apples in the bag is :

1. 37.5%

2. 35%

3. 33.33%

4. 30%