She sold 42 oranges with profit 20%
Step-by-step explanation:
The woman sells 90 oranges by RS.160
This price with discount of 20%
We need to find how many oranges she sell by Rs.112 with profit of 20%
- Selling price = cost price - discount ⇒ discount case
- Selling price = cost price + profit ⇒ profit case
Assume that cost price of an orange is x
∵ She sells 90 oranges with Rs.160
- Find the selling price of 1 orange by dividing 160 by 90
∴ The selling price of an orange = 
∵ She sold them with discount 20%
∵ The cost price of an orange is x
- Find the 20% of x
∵ Discount = 20% × x =
× x = 0.2x
- To find the selling price subtract 0.2x from x
∴ The selling price = x - 0.2x
∴ The selling price of an orange = 0.8x
- Equate 0.8x by
to find x
∵ 0.8x = 
- Divide both sides by 0.8
∴ x = 
Assume that the number of oranges is y
∵ She sell y oranges for Rs.112 with profit 20%
∵ The cost price of an orange is 
- Find 20% of 
∵ Profit = 20% ×
= 
- Add
to cost price to find the selling price
∴ The selling price of an orange =
+
∴ The selling price of an orange = 
- To find y divide 112 by selling price of an orange
∵ y = 112 ÷ 
∴ y = 42
She sold 42 oranges with profit 20%
Learn more:
You can learn more about percentage in brainly.com/question/12284722
#LearnwithBrainly