Question

An item Is sold at 12 % loss. If cp is 10% less and SP is 5.75 rs. More then it give a profit of 30%*.IF WE WANT A PROFIT OF 30%. THEN WHAT IS SP

Answer 1

Answer:

Rs 25.77

Step-by-step explanation:

Let say Original Cost Price = C  Rs

items sold at 12% Loss

12 % loss = (12/100) × C = 0.12C Rs

Selling Price = Cost Price - Loss

= C - 0.12C

=0.88C  Rs

Reduced Cost Price = C × ( 1 - 10/100) = 0.9C  Rs

Increased Sale Price = 0.88C + 5.75  Rs

Now Profit  = Increased sale price - reduced cost price

= (0.88c + 5.75) - 0.9C

= 5.75 - 0.02C

Profit % = $(\frac {5.75 - 0.02C}{0.9C}) * 100$

Profit = 30%

$(\frac {5.75 - 0.02C}{0.9C}) * 100$  = 30

575 - 2C = 27C

29C = 575

C =  $(\frac {575}{29})$    Rs

Original Cost Price =  $(\frac {575}{29})$   Rs

Profit = 30% =  $(\frac {30}{100})$  *  $(\frac {575}{29})$

Profit =  $(\frac {1725}{290})$

Selling Price =  $(\frac {575}{29})$  + $(\frac {1725}{290})$

Selling Price =  $(\frac {5750 + 1725}{290})$

Selling Price =  $(\frac {7475}{290})$

Selling Price = Rs 25.77