Learn Class 8 Math - Comparing Quantities

Ratio

It is related to comparing two different quantities.

Percentage

It has a unique symbol of % and represents every hundred.

Finding Discounts

Commonly, there's a purchase, and therefore, the product is at a reduced price.

Essentially discount is the reduction within the market value to extend the sale and market the products.

Discount % = Discount/Market Price * 100

Gains and losses resulting from buying and selling

When we buy or sell something within the market, there are such a big amount of things enclosed in it, like the price of the product, some overhead expenses to gift it, some promotion, etcetera.

Terms Related to Buying and Selling:

  • Cost Price (CP): Cost worth is the actual amount paid by the manufacturer to provide it or produce the service.
  • Selling Price (SP): The quantity at which the merchandise is sold within the market by the retailer.
  • Profit: Once commerce a product, if the vendor has some monetary gains, it is aforementioned a profit.
  • Profit = SP-CP
  • Loss: The negative financial revenue that a seller needs to bear while selling the product.
  • Loss = CP-SP

Compound Interest

Interest is the more money paid by the banks on our money at a set interest rate.

Compound Interest(CI) = Amount(A) – Principal(P)

Simple Interest

Simple Interest = Principal(P)* Time(T)* Rate(R)/ 100

Comparing Quantities Sample Questions for Class 8

Question 1

Tina had sold a cycle to Rina at profit of 6 %. Rina had sold same cycle to Mina at profit of 5%. Mina bought the cycle for ₹ 900. What was cost at which Tina bought the cycle?
A. ₹800
B. ₹756.25
C. ₹808.62
D. ₹790.35

Question 2

Which is greatest? A) 25 % of 75 B) 16 % of 90 C) 8 % of 175 D) 12.5 % of 165
A. C
B. A
C. D
D. B

Question 3

Shopkeeper sold one dozen bananas at ₹1.5/banana. He earned profit of 6%. What was the buying price for one banana?
A. ₹1
B. ₹1.41
C. ₹1.35
D. ₹0.98

Question 4

Aditi's income is 60 % more than Shravya. What percent is Shravya 's income less than Aditi?
A. 37.5%
B. 60%
C. 40%
D. 35.2%

Question 5

The length and breadth of rectangle is changed by +10% and -5% respectively. What is the percentage of change in the area?
A. 15%
B. 5%
C. 4.5%
D. 6.75%