Question

a man sells an article at a loss of 10%.if he had sold it for ₹75 more he would have gained 20%.the cost price of the article is in Rs.

Answer 1

it means that (10+20)%=75

1%=75/30
100%=75*100/30=250

Answer 2

Answer:

The cost price of the article is Rs. 250

Step-by-step explanation:

Step 1:

Given the data are

Loss%=10%

We need to find the CP if the SP is RS.75 more and he would have get a profit of 20%.

Step 2:

We need to find the SP from the data, for that let’s we assume CP=100x.

SP=CP-Loss%

SP=100-10

Therefore, SP=90x.

Step 3:

Now, we have to find the SP if the SP is RS.75 more and he get a profit of 20%.

SP=100%+20%

SP=120x

Step 4:

But the difference in the SP were gives as RS.75.  

Therefore 120x-90x=75

That is 30x=75

X=75/30=2.5

Step 5: We know that CP= 100x;

Substitute x value in CP.

CP=100x2.5=250

CP=RS.250