A dealer sells an article for Rs75 and gains as much per cent as the cost price of the article
Find the cost price of the article.
1) Rs100
2) Rs50
3) Rs150
4) Rs200
Answers
Answer:
Step-by-step explanation:
Let initial cost price be Rs. x
Profit =
100
20
×x=
5
x
So, Selling price = x+
5
x
=
5
6x
New cost price = x+50
New selling price =
5
6x
+30
New profit = (
5
6x
+30)−(x+50)=
5
x
−20
Profit%=
(x+50)
5
x
−20
×100
According to the question profit %= (20−
3
10
)%=
3
50
%
So,
x+50
5
x
−20
×100=
3
50
⇒
5(x+50)
x−100
×100=
3
50
⇒
x+50
x−100
=
6
5
⇒ 6x−600=5x+250
⇒ x=850
Therefore, cost price of article is Rs. 850.
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Answer:
option 2 - 50 rs
Step-by-step explanation:
Selling price is 75
let cost be "x"
profit is as much per cent as the cost price = x% on x
cost price + profit = selling price
x + x% on x = 75
x + x(x/100) = 75
100x + x^2 = 7500
x^2 + 100x -7500 = 0
Sub 50 in place of x {Generally sp > cp , by observation choose option as 50}
(50*50) + 100(50) - 7500 = 0
2500 + 5000 - 7500 = 0
∴ Cost of good is 550 rs