Comparing Quantities Class 8 Extra Questions Maths Chapter 8

### Comparing Quantities Class 8 Extra Questions Maths Chapter 8

**Extra Questions for Class 8 Maths Chapter 8 Comparing Quantities**

### Comparing Quantities Class 8 Extra Questions Very Short Answer Type

Question 1.

Express the following in decimal form:

Question 3.

If 20% of x is 25, then find x.

Solution:

20% of x = 25

Hence x = 125

Question 4.

Express the following as a fraction

(a) 35%

(b) 64%

Solution:

Question 5.

Express the following into per cent

Solution:

Question 6.

There are 24% of boys in a school. If the number of girls is 456, find the total number of students in the school.

Solution:

Question 7.

The cost of 15 articles is equal to the selling price of 12 articles. Find the profit per cent.

Solution:

Hence, profit = 25%

Question 8.

An article is marked at ₹ 940. If it is sold for ₹ 799, then find the discount per cent.

Solution:

MP = ₹ 940

SP = ₹ 799

Discount = MP – SP = 940 – 799 = ₹ 141

Hence, discount = 15%

Question 9.

A watch was bought for ₹ 2,700 including 8% VAT. Find its price before the VAT was added.

Solution:

Question 10.

Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.

Solution:

### Comparing Quantities Class 8 Extra Questions Short Answer Tpye

Question 11.

A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per cent. (NCERT Exemplar)

Solution:

Question 12.

Two candidates Raman and Rajan contested an election. Raman gets 46% of the valid votes and is#defeated by 1600 votes. Find the total number of valid votes cast in the election.

Solution:

Question 13.

A man whose income is ₹ 57,600 a year spends ₹ 43,200 a year. What percentage of his income does he save?

Solution:

Question 14.

Solution:

Cost price of the CD player = ₹ 3,200

Amount spent on its repairing = ₹ 560

Net cost price = ₹ 3,200 + ₹ 560 = ₹ 3,760

Hence, the required amount = ₹ 4,230

Question 15.

Solution:

Marked price of the car = ₹ 3,00,000

Net selling price after the successive discounts

Hence, the net selling price = ₹ 2,63,952

Question 16.

Ramesh bought a shirt for ₹ 336, including 12% ST and a tie for ₹ 110 including 10% ST. Find the list price (without sales tax) of the shirt and the tie together.

Solution:

Question 17.

Find the amount of ₹ 6,250 at 8% pa compounded annually for 2 years. Also, find the compound interest.

Solution:

Question 18.

Solution:

Question 19.

Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at ₹ 280? (NCERT Exemplar)

Solution:

Question 20.

Find the compound interest on ₹ 48,000 for one year at 8% per annum when compounded half yearly. (NCERT Exemplar)

Solution:

Principal (P) = ₹ 48,000

Rate (R) = 8% p.a.

Time (n) = 1 year

Interest is compounded half yearly

Therefore Compound Interest = A – P = ₹ (519,16.80 – 48,000) = ₹ 3,916.80.