A shopkeeper sold a book for rs. 399 and incurre d a loss of 5% . Had he sold the article at a profit of 40% what would have been the selling price of the book
Answers
Step-by-step explanation:
Given:
A shopkeeper sold ab article for Rs 399.
He faced a loss of 5% on selling.
To Find:If he sold the article at 40% profit then what would be S.P ?
Solution: We have given with S.P and Loss % and to find C.P if S.P & Loss % are given we use the formula
★ C.P = (100/100 – Loss %)S.P ★
⟹ (100/100 – 5) \times× 399
⟹ 100/95 \times× 399
⟹ 39900/95
⟹ Rs 420.
So, Cost price of article was Rs 420.
[ To make 40% profit ]
★ S.P = (100 + Profit%/100)C.P ★
⟹ (100 + 40/100) \times× 420
⟹ 140/100 \times× 420
⟹ 58800/100
⟹ Rs 588
Hence, If he want to makes a profit of 40% then he should sell the article at Rs 588.
Answer :-
let book's original price be x
x=399+(5/100)x
x-(5/100)x=399
(95/100)x=399
x=39900/95
x=420
x+(40/100)x
= 400+(40/100)×400
=400+160
=560
If he sold article with 50% selling price of the book would be rs.560