Formula of lesson comparing quantities class seven
Answers
Answer:
Step-by-step explanation:Prices Related to Buying and Selling
Prices related to an item
Prices related to an item are: (i) Selling price
(ii) Cost price
Selling price (SP) is the price at which a product is sold out.
Cost price (CP) is the buying price of an item.
Profit = Selling price – Cost price
Loss = Cost price – Selling price
If SP > CP , then it is profit.
If SP = CP , then it is neither profit nor loss.
If CP > SP , then it is loss.
Finding the profit or loss percentage
ProfitPercentage=ProfitCostPrice×100
LossPercentage=LossCostPrice×100
Percentages and Why Percentages
Percentages
Percentages are ratios expressed as a fraction of 100.
Percentages are represented by the symbol ‘%’.
Example: 20100=20%and 50100=50%.
Comparing percentages when denominator is not 100
When a ratio is not expressed in fraction of 100, then convert the fraction to an equivalent fraction with denominator 100.
Example: Consider a fraction 35.Multiply the numerator and denominator by 20.
⇒3×205×20=60100=60%
Converting fractions/decimals to percentages
Converting Decimals to Percentages
Given decimal: 0.44
0.44=44100=44100×100%=44%
Converting Fractions to Percentages
Given fraction: 3535×100%=3×20%=60
Converting percentages to fractions/decimals
0.25=25100=14
0.225=2251000=940
Estimation using percentages
Estimation can be done using percentages.
Example: What percentage of the given circle is shaded?Estimation using percentages
Solution: The given triangle consists of 8 regions, out of which 6 regions are shaded.
So, the percentage of shaded regions will be 68×100=34×100=75%.
Interpreting percentage into usable data
Percentages can be interpreted into useful data.
Examples:
(i) 40% of Raghav’s clothes are not washed.
⇒ Raghav’s 40 clothes out of 100 clothes are not washed.
(ii) 30 % of students in class are infected by fever.
⇒ Out of 100 students in a class, 30 students are infected by fever.
Converting percentage to the form “how many”
Example: 200 chocolates were distributed among two children: Joe and Tom. Joe got 60% and Tom got 40% of the chocolates. How many chocolates will each get?
Solution: Total number of chocolates = 200
Joe got 60% of the chocolates = 60100×200=120Tom got 40% of the chocolates = 40100×200=80 ∴ Joe and Tom will get 120 and 80 chocolates, respectively.
Converting Ratios to percentages
Ratios can be expressed as percentages to understand certain situations much better.
Example: 200 chocolates were distributed among two children: James and Jacob. James got35 and Jacob got 25 of the chocolates. What is the percentage of chocolate that each got?
Solution: Total number of chocolates = 200
James got 35 of the chocolates = 35×100=60% of the total chocolates.
Jacob got 25 of the chocolates = 25×100=40% of the total chocolates.
Answer:
❤ANSWER ❤
Step-by-step explanation:
Comparing Quantities Formulas
−[Cost Price (C.P.)] Profit (P) = [ Selling Price (S.P.) ] − [ Cost Price (C.P.) ] Loss (L)=[Cost Price (C.P.)]
Volume of Cube: x3x3
Volume of Cuboid (LSA): l×b×hl×b×h
Volume of Sphere: 43×πr343×πr3