Question : An article is sold at a loss of 10%. Had it been sold for Rs. 90 more, there would have been a gain of 5%. The original sale price of the article (in Rs.) is:
Option 1: Rs. 540
Option 2: Rs. 600
Option 3: Rs. 628
Option 4: Rs. 650
Correct Answer: Rs. 540
Solution :
Here CP denotes cost price and SP denotes selling price.
If the CP of the article is Rs. $x$, then
Difference in the selling price = Difference in the profits
⇒ Rs. 90 = (10% + 5%) of $x$
⇒ $x$ = Rs. 600
SP at 10% loss = CP$(\frac{100- Loss\%}{100})$
⇒ SP = 600$(\frac{100- 10}{100})$
⇒ SP = 600$(\frac{90}{100})$
⇒ SP = Rs. 540
Hence, the correct answer is Rs. 540.
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