Question

A man purchase a book and pen of rs25000.he sell the books at 13%profit and pen at 17%profit.if he sold the book at 17% profit and pen at 13% profit he earns 80 more.find the cp of pen

Answer 1

Hi,

Answer:

The C.P of pen is Rs. 13500.

Step-by-step explanation:

Let the C.P. of the book be “Rs. x” and that of pen be “Rs. y”

∴ x + y = 25000 ….. (i) [as given in the question above]  

We have the formula,

P% = $\frac{P}{C.P.}$ * 100 ….. (ii)

Firstly, the man sells the book at 13% profit and pen at 17% profit. By using the above formula from (ii), we get

∴ total profit man earns = 0.13x + 0.17y …..(iii)

Secondly, the man sells the book at 17% profit and pen at 13% profit. By using the above formula from (ii), we get

∴ total profit man earns = 0.17x + 0.13y …..(iv)

Since from the second profit he is earning Rs. 80 more than the first profit, therefore, we can write the equation as

0.13x + 0.17y + 80 = 0.17x + 0.13y

Or, 0.04x – 0.04y = 80

Or, x – y = 80 / 0.04  

Or, x – y = 2000 ….. (v)  

Adding equation (i) & (ii), we get

2 x = 27000

Or, x = Rs. 13500

Hope it helps!!!!!