Question

118. The market price of an article is Rs 50. If the percentage of discount given on the article is

numerically equal to half the selling price of the article, then find the selling price.

Answer 1

Let SP be 2X

Therefore discount given= X

MP=RS 50(given)

ATQ, 50-(x/100*50)=2x

Therefore, 50-X/2 =2x

(100-x)/2=2x

100-x=4x

100=5x

X=20

Therefore, SP=2x=2*20=40rs

Answer= Rs. 40

Answer 2

Answer:

The selling price of the article = Rs. 40

Step-by-step explanation:

Let Selling price of the article be 2x

⇒ Discount given on the article = x

The marked price of the article is given to be Rs. 50

Now, According to the condition given in the problem :

$\implies 50 - (\frac{x}{100}\times 50)=2x\\\\\implies \frac{100-x}{2}=2x$

⇒ 100 - x = 4x

⇒ 5x = 100

⇒ x = 20

Therefore, SP = 2x

                       = 2 × 20

                       = Rs. 40  

Therefore, The selling price of the article = Rs. 40