Question 52

When the article sold at the rate of Rs.2500 earned a profit of 11% more than that of the loss incurred when the same article sold at the rate of Rs.1234. Find the Cost price of the article.

Let cost price of the article = Rs. $$x$$

Loss = Rs. $$(x-1234)$$

Profit = Rs. $$(2500-x)$$

According to ques, => $$\frac{P-L}{L}\times100=11$$

=> $$\frac{(2500-x)-(x-1234)}{(x-1234)}\times100=11$$

=> $$\frac{3734-2x}{x-1234}=\frac{11}{100}$$

=> $$11x-13574=373400-200x$$

=> $$11x+200x=373400+13574=386974$$

=> $$x=\frac{386974}{211}=1834$$

$$\therefore$$ Cost price = Rs. 1834

=> Ans - (D)

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