Question

By selling an article for Rs 18.75 a merchant losses as much percent, as it cost him in rupees. Find the cost price of the article

Answer 1

Let the cost price of toy be Rs. x. Then
Gain x% = Rs (x*(x/100)) = Rs.. x^2/100
Now SP = CP + Gain
24 = x+(x^2/100)
Put the value and solve
then ans is in quadratic for
and is -120 and 20
price can not be negative
ans is 20

Answer 2

Answer:

The cost price of the article is Rs.20

Step-by-step explanation:

Given : By selling an article for Rs 18.75 a merchant losses as much percent, as it cost him in rupees.

To find : The cost price of the article?

Solution :

Let the cost price of toy be Rs. x.

Then,

Gain x% = Rs (x*(x/100)) = Rs. (x²/100)

Now SP = CP + Gain

24 = x+(x²/100)

2400=100x+x²

x²+100x-2400=0

x²+120x-20x+2400=0

x(x+120)-20(x+120)=0

(x+120)(x-20)=0

x=-120,20

Price can not be negative

Therefore, The cost price of the article is Rs.20