Question

Sandeep bought a pen drive and sold it at a profit of 15%. if he had bought it at 25% less and sold for Rupees 20 more, he would have a profit of 60%. Find the CP

Answer 1

Let the cost price be x.

Given, S.P = x + 15x/100

                  = 115x/100    ----------- (1)

New cost price of the pen = x - 25x/100

                                            = 100x - 25x/100

                                            = 75x/100    ---------- (2)


New Selling price with a profit of 60% will be = 75x/100 + 60/100 * 75x/100

                                                                             = 120x/100    ----- (3)

He sold for rupees 20.

On solving (1) and (3). we get

120x/100 - 115x/100 = 20

5x/100 = 20 

x = 20 * 100/5

   = 400.


The cost price is 400 rupees.


Hope this helps!

Answer 2

Answer is ₹ 400

Step-by-step explanation:

Let C.P. be x

Then S.P. = CP + Gain = x + 15% of x =

$\frac{115x}{100}$

New C.P. = x - 25% of x =

$\frac{75x}{100}$

Profit = 60%

New S.P. =

$\frac{75x}{100}$

+ 60% of

$\frac{75x}{100}$

=

$\frac{75x}{100} + \frac{60}{100} \times \frac{75x}{100}$

=

$\frac{120x}{100}$

New S.P. - Old S.P. = ₹ 20

$\frac{120x}{100} - \frac{115x}{100} = rs.20$

$\frac{5x}{100} = rs.20$

$x = rs. \frac{20 \times 100}{5}$

x = ₹ 400