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%