Marked price and cost price

 Relationships between marked price and cost price of an article if discount and profit both are given- 🧐

Cost price/ marked price 

= (100- discount %)/(100+profit %)

Q1- A manufacturer marked an article at ₹50 and sold it allowing 20% discount. If his profit was 25% ,then the cost price of the article was -

Solution- Ratio of cost price and marked price of an article 

Cost price/ marked price =( 100-20)/ (100+25)

= 16/25

25->50 

1->2 

16->32 

Cost price of article is ₹32 .

Q2- The labelled price of a cupboard is ₹6500. The shopkeeper sold it by giving 5% discount on the labelled price and earned a profit of 15% . What approximately is the  cost price of the cupboard?

Solution-  cost price/ marked price =( 100-5)/(100+15)

= 19/23

23->6500

1->282.60

19->5369.56

Cost price of article is ₹ 5369.56


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