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Priti allows 8% discount on the marked price of the suits and still makes a profit
of 15%. If her gain over the sale of a suit is 156, find the marked price of a suit.



Sagot :

Answer:

  1300

Step-by-step explanation:

You want the marked price of a suit if a profit of 15% is made after an 8% discount from the marked price, and that profit is 156.

Profit

For a suit with a marked price of p, the selling price is ...

  s = p × (1 - 0.08) = 0.92p

For a suit with a selling price of s, the cost price c is ...

  s = 1.15 × c

and the profit is ...

  s -c = (1.15c) -c = 0.15c = 156

Price

Working backward through these relations, we can find the marked price.

  c = 156/0.15 = 1040

  s = 1.15c = 1196

  p = s/0.92 = 1300

The marked price of a suit is 1300.

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