Question : The selling price of one article after allowing a discount of 15% on its cost price, is the same as the selling price of another article after allowing a discount of 25% on its cost price. If the sum of the cost prices of both the articles is INR 640, then find the selling price of each article.
Option 1: INR 250
Option 2: INR 340
Option 3: INR 280
Option 4: INR 255
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Correct Answer: INR 255
Solution :
Let the cost price of the 1st article be $x$ and the 2nd article be $y$
According to the question,
(100 – 15)% × $x$ = (100 – 25)% × $y$
⇒ $85\% × x = 75\% × y$
⇒ $\frac{x}{y} = \frac{15}{17}$
Let the $x$ and $y$ value as $15a$ and $17a$ respectively.
According to the question,
⇒ $15a + 17a = 640$
⇒ $32a = 640$
⇒ $a = 20$
Thus, $15a = 300$
The cost price of 1st article = INR 300
The selling price of the 1st article = 85% of 300
= $\frac{85}{100}\times300$
= 255
Hence, the correct answer is INR 255.
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