Question

2. A dealer comes from Mathura to Delhi to buy an article which costs 12% less in Delhi than mathura.his expenses 240
and he makes a profit of 300 on selling the article in Mathura. What did the
article cost in Mathura? What is his profit percent?
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Answer 1

The article cost in Mathura is Rs. 272.73 and the dealer's profit percentage is 138.64%.

Step-by-step explanation:

Let the article cost in Mathura is Rs. x.

So, the cost of the article in Delhi is 12% less i.e. $x(1 - \frac{12}{100}) = 0.88x$.

Now, given that 0.88x = 240

⇒ x = 272.73 Rs. (Answer)

Now, the dealer sells the article in Mathura at 300 Rs. profit.

So, the selling price in Mathura is (272.73 + 300) = 572.73 Rs.

Hence, the profit percentage of the dealer is $\frac{572.73 - 240}{240}\times 100 \% = 138.64\%$. (Answer)