Aasutoshpokharel
Aasutoshpokharel Aasutoshpokharel
  • 24-12-2021
  • Mathematics
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An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?​

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sqdancefan
sqdancefan sqdancefan
  • 24-12-2021

Answer:

  Rs 500

Step-by-step explanation:

For cost c, the price that gives a 5% profit is ...

  c + 5%·c = 1.05c

The price that gives a 5% loss is ...

  c -5%·c = 0.95c

The difference of these prices is Rs 50:

  1.05c -0.95c = 50

  0.10c = 50 . . . . simplify

  c = 500 . . . . . . . divide by 0.1

The cost price of the article is Rs 500.

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