by selling an article Sonu makes a profit of 20% if the CP decreases by 10% and SP also increases by 10% calculate the profit percentage
Answers
Answer:
New percentage of profit = 46.67 %
Step-by-step explanation:
let
Purchasing price = 100
If profit is = 20 %
Then profit = 20 % of 100 = 20
So
We know that
Selling price = Purchasing price + profit
Putting the values we get
Selling price = 100 + 20 = 120
Now
According to second condition
If cost price is decrease by 10 % then
New cost price of article = 100 - 10% of 100
= 100 - 10 = 90
If Selling price is increase by 10% then
New Selling price of article = 120 + 10% of 120
= 120 + 12 = 132
So
New Selling price of article = 132
Now
New profit = New Selling price - New Purchasing price
Putting values we get
New profit = 132 - 90 = 42
New profit = 42
Now
New percentage of profit = (New profit / New purchasing price)×100
Putting the values we get
New percentage of profit = (42/90)×100 = 46.67 %
Thus
New percentage of profit = 46.67 %