RBSE Class 7 Maths Important Questions Chapter 8 Comparing Quantities

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 8 Comparing Quantities Important Questions and Answers.

RBSE Class 7 Maths Chapter 8 Important Questions Comparing Quantities

Multiple Choice Questions

Question 1.
If 40% of students in a class are Hindus. What percent of the students are non-Hindus?
(a) 40%
(b) 10%
(c) 50%
(d) 60%
Answer:
(d) 60%

Question 2.
A basket is full of bananas, mangoes and apples. If 50% are mangoes, 30% are apples, then what percent are bananas?
(a) 10%
(b) 20%
(c) 25%
(d) 40%
Answer:
(b) 20%

Question 3.
What is 5% of 200?
(a) 2
(b) 5
(c) 10
(d) 100
Answer:
(c) 10

Question 4.
What is 12\(\frac{1}{2}\)% of 200?
(a) 25
(b) 12
(c) 40
(d) 100
Answer:
(a) 25

Question 5.
There are 40 children, in a class. 25% like playing football. How many children like playing football?
(a) 10
(b) 20
(c) 30
(d) 40
Answer:
(a) 10

Question 6.
Out of 25 students, 5 are absent. What percent of the students are absent?
(a) 10%
(b) 20%
(c) 25%
(d) 30%
Answer:
(b) 20%

Question 7.
A shop has 50 televisions, out of which 5 are defective. What percent is defective?
(a) 5%
(b) 10%
(c) 50%
(d) 25%
Answer:
(b) 10%

Fill in the Blanks

Question 1.
The ratio of ₹ 10 to 50 paise is ______________
Answer:
20 : 1

Question 2.
The cost of 8 pencils is ₹ 10. Then cost of 20 pencils is ______________
Answer:
₹ 25

Question 3.
If cost price is ₹ 350 and selling price is ₹ 400. The profit percent is ______________.
Answer:
14\(\frac{2}{7}\)%

Question 4.
The ages of father and son are 45 years and 10 years. The ratio of their ages is ______________.
Answer:
9 : 2

Question 5.
The cost of 4 m cloth is ₹ 40, the cost of 9 m cloth is ______________.
Answer:
₹ 90

State Whether True or False

Question 1.
If two ratios are equivalent then the four quantities are said to be proportion.
Answer:
True

Question 2.
Decimals cannot be converted into percentages.
Answer:
False

Question 3.
\(\frac{1}{4}\) as percent is 25%.
Answer:
True

Question 4.
The ratio of 15 days to 72 hours is 5 : 1.
Answer:
True

Question 5.
₹ 100 are divided between Anima and Meena. Anima get 60%, then Meena get ₹ 50.
Answer:
False

Very Short Answer Type Questions

Question 1.
Find the ratio of 3 m to 300 m.
Answer:
3 km : 300 m
= 3000 m : 300 m [∵ 1 km = 1000 m]
= 10: 1

Question 2.
Out of 25 students 15 are girls. Find the percentage of girls.
Answer:
\(\frac{15}{25}\) × 100 = 60%

Question 3.
On a certain sum the interest paid after 1 year is ₹ 45 at 9% rate of interest per annum. Find the sum.
Answer:
S.I. = ₹ 45, R = 9%, T = 1 year
Now, Principal = \(\frac{S . I . \times 100}{R \times T}=\left(\frac{45 \times 100}{9+1}\right)\)
= ₹ 500
∴ Sum borrowed = ₹ 500

Question 4.
What is 25% of 36?
Answer:
25% of 36 = 36 × \(\frac{25}{100}\) = 9

Question 5.
Out of 25 students in a class, 8% like rainfall. Find number of students who like rainfall?
Answer:
Total number of students who like rainfall = \(\frac{8}{100}\) × 25 = 2

Short Answer Type Questions

Question 1.
Harish purchased 50 dozen bananas for ₹ 135. Five dozen bananas could not be sold because they were rotten. At what price per dozen should Harish sell the remaining bananas so that he makes a profit of 20%?
Answer:
Cost price of 50 dozen bananas = ₹ 135
Bananas left after removing rotten bananas = 50 - 5 = 45 dozen 
Now effective CP of 45 dozen bananas = ₹ 135
Cost of one dozen bananas = \(\frac{135}{45}\) = ₹ 3

Now to make 20% profit selling price should be
SP = CP + CP × \(\frac{20}{100}\)
SP = 135 + 135 × \(\frac{20}{100}\)
SP = 135 + 27 = 162
∴ SP of each dozen banana = \(\frac{162}{45}\) = ₹ 3.60

Question 2.
Nalini borrowed ₹ 550 from her friend at 8% per annum. She returned the amount after six months. How much did she pay?
Answer:
Principal amount (P) = ₹ 550
Time period (T) = 6 months = \(\frac{6}{12}=\frac{1}{2}\) year
(1 year = 12 months) 
Rate of interest (R) = 8% p.a.
Interest = \(\left(\frac{P \times R \times T}{100}\right)\)
= \(\left(\frac{550 \times 8 \times \frac{1}{2}}{100}\right)\) = ₹ 22
Total amount paid after 6 months
= Principal amount + Interest = ₹ 550 + ₹ 22 = ₹ 572.