Question

Suhana sells a sofa set for rs 9600 making a profit of 20% . What is the CP of the sofa set

Answer 1

Let the CP of sofa set = Rs x
Given SP = Rs 9600
Therefore profit = SP - CP = Rs (9600 - x)

Given profit% = 20%
profit/CP *100  = profit%
(9600-x)/x * 100 = 20
100(9600-x) = 20x
960000 - 100x = 20x
960000 = 120x
x = 960000/120 = Rs 8000
Therefore CP of article = Rs 8000

Answer 2

Answer:

Rs.8000

Step-by-step explanation:

Let the cost price of sofa set be x

Profit% = 20 %

Profit =$\frac{20}{100}x=0.2x$

SP = CP+Profit

SP = x+0.2x

SP = 1.2x

SP of sofa set is Rs.9600

So,$1.2x=9600\\x=\frac{9600}{1.2}\\x=8000$

Hence cp of sofa set is Rs.8000