Question

a radio is sold for rs 3120at a loss of 4% for how much should it be sold to gain 4%

Answer 1

Given

Selling price =₹3120

Loss%=4%

Cp=spx100/(100-loss%)

Cp=3120x100/(100-4)

Cp=3120x100/96

Cp=3250

Now selling price when he wants to sell it on 4% profit

Sp=cpx(100+profit) /100

Sp=3250x(100+4)/100

Sp=3250x104/100

Sp=₹3380

This is ur ans hope it will help you in case of any doubt comment below

Answer 2

SP = Rs 3120

Loss percent = 4 %

Let the CP be Rs a

Loss = 4 % of a

= 4a/100

= a/25

Now,

CP - Loss = SP

=> a - a/25 = 3120

=> 24a / 25 = 3120

=> a = 3120 × 25 / 24

=> a = 130 × 25

=> a = 3250

Cost Price = Rs 3250

Now,

When Gain % = 4 %

SP = CP + Gain

= 3250 + 4% of 3250

= 3250 + 4 × 3250 / 100

= 3250 + 3250/25

= 3250 + 130

= Rs 3380