Question

A man sold a radio set for rupees 250 and gained one ninth of its cost price. Find its cost price and profit percent

Answer 1

Given, SP of radio = 250

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

Let CP of the radio = x

Profit = x/9

Profit = SP - CP

x/9 = 250 - x

x = 2250 - 9x

x + 9x = 2250

10x = 2250

x = 2250/10

x = 225

Hence our CP is rs. 225

Profit = 225/9 = 25

Our profit is rs. 25

Profit% = profit/CP * 100

= 25/225 * 100

= 1/9 * 100

= 100/9

= 11.11 % or 11 1/9 %

Profit % is 11.11 % or 11 1/9 %

Answer 2

Let the c.p. be,x

a/q,
= profit=s.p.-c.p.

= x/9=250-x

= x=2250-9x

= 10x=2250

= x=2250/10

= x=225

Now,
profit=x/9

so that,
=225/9=profit
=25
now,
=profit%=profit*100/c.p.
=25*100/225
= 1/9*100
=11.11%or100/9%

so profit=₹225 and profit%=11.11% or 100/9%