Question

By selling a purse for ₹250 , ranjana loses one sixth of what it cost her find the cost price of the purse?

Answer 1

cp=x
x-1/6×x=250
x-x/6=250
5x/6 =250
x=6×250/5
x=6×50
x=300 Rs is answer

Answer 2

Let The CP Of Purse = Rs x

On Selling It At Rs 250 She Losses 1/6th Of CP

So Loss = 1/6*x = x/6

Hence

x-x/6 = 250

5x/6 = 250

x = 250*6/5 = Rs 300

So CP = Rs 300

Loss% = Loss/CP * 100

Loss = 300-250 = 50

Loss% = 50/300 * 100 = 16.66%