The list price of an article was ₹735. Ravi sold it after giving a 20% discount on its list price and still made a profit of 47%. What was the cost price (in ₹) of the article?
- A450
- B420
- C400
- D375
Solution & Step-by-step Explanation
List Price (MP) = ₹735
Discount = 20%
Profit = 47%
The relationship between Cost Price (CP) and Marked Price (MP) is given by:
MP
CP
=
100+Profit%
100−Discount%
735
CP
=
100+47
100−20
735
CP
=
147
80
CP=
147
80×735
Since 147×5=735:
CP=80×5=400
So, the cost price of the article was ₹400.
Discount = 20%
Profit = 47%
The relationship between Cost Price (CP) and Marked Price (MP) is given by:
MP
CP
=
100+Profit%
100−Discount%
735
CP
=
100+47
100−20
735
CP
=
147
80
CP=
147
80×735
Since 147×5=735:
CP=80×5=400
So, the cost price of the article was ₹400.