1.

. Mr. Shah sold a sofa at a gain of 15%. Had he sold it for 340 less, he would havelost 2%. At what price did Mr. Shah purchase it?​

Answer»

Given:-

  • Mr. Shah sold a sofa at a gain of 15%. Had he sold it for 340 less, he would have  LOST 2%.

To find:-

  • At what price did Mr. Shah purchase it?​

Solution:-

Let the CP  be Rs x.

  • SP = CP + Profit

=>SP = x + 15 x / 100

=> SP = 115x / 100 = 115x / 100

loss = 2%

If it have been sold for Rs 340

=> 98X / 100 = 115x / 100 - 340

=> 340 = (115x - 98x) / 100

=> 340 = 17x / 100

=> x = 340 * 100 / 17

=> x = 2,000

Hence, REQUIRED price is Rs.2,000.

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