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.

Solution

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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