Question

A Shopkeeper gets rupees
850 if instead of Selling
chair at a loss of 15%, it is sold at a gain of
15%. find the cost price of chair.​

Answer 1

$\large\bold{\underline{\underline{Answer:-}}}$

Suppose the cost price of chair is x.

When it is sold at a gain of 8%.

Then, selling price of chair = x+8x100 = 108x100

When it is sold at a gain of 15%.

Then, selling price of chair = x+15x100 = 115x100

Now, according to the question, a dealer gets Rs.56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 8%

So we have;

115x100−108x100 = 56⇒7x100 = 56

⇒x = 56×1007 = 800

Therefore the cost price of chair is Rs.800.

Answer 2

Answer:

Suppose the cost price of chair is x.

When it is sold at a gain of 8%.

Then, selling price of chair = x+8×100 = 108x100

When it is sold at a gain of 15%.

Then, selling price of chair = x+15×100 = 115×100

Now, according to the question, a dealer gets Rs. 56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 8%.

So we have;

115×100-108×100=56=>7×100=56

=>x= 56×1007 = 800

Therefore the cost price of chair is Rs. 800.