Question

when a pen is sold at a discount 15% there is gain of rs 10 but if it is sold at 25% discount there is loss of rs 2 find the mark price of pen

Answer 1

Answer:

MP = Rs 120

Step-by-step explanation:

According to Question,

The Cost Price of Pen is Same in Both the cases.

Let MP = x

Using identity

Discount = 15% , Gain = Rs. 10

$SP=MP-MP*\frac{D}{100}$              

SP1 = x - x*15/100

SP1 = (100x - 15x)/100

SP1 = 85x/100                        

Gain = SP1 - CP

CP = SP - Gain

CP = 85x/100  - 10                --- --- ( 1 )

--------------------------------------------------------------------

Discount = 25% , Loss = Rs. 2

$SP=MP-MP*\frac{D}{100}$

SP2 = x - x * 25/100

SP2 = x - x*1/4

SP2 = 3x/4                              

Loss = CP - SP

CP = Loss + SP

CP = 2 + 3x/4                        --- --- ( 2 )

Equating Both the equation (1) & (2)

2 + 3x/4  = 85x/100 - 10

2 + 10 = 85x/100 - 3x/4

12 = $\frac{85x - 75x}{100}$

12 = 10x/100

12 = x /10

x = Rs 120

MP = Rs 120

Ans.