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

Shortcut

Final selling price for earning 4% profit

=3120x104/96

=324480/96

=₹3380
This is ur ans hope it will help you in case of any doubt comment below

Answer 2

hey!!

here is your answer > are talking about the selling price!.

The selling price of the radio is 3120!

He sold at a loss of 4%!

Formula for loss% is =

(Loss/cost price ) * 100....

Loss is !

Cost price - Selling price!

Selling price, as we know, it is 3120!

We will have to find the Cost price!

let us substitute!

let's take the Cost price as X....

( X - 3120/X)100 = 4

100X - 312000 = 4X

96X = 312000

X = 312000/96

X = 3250!

Cost price is rupees 3250!

Now, The radio has to be sold at 4% gain!

Formula is

(Gain/Cost price )100 =

Gain is Selling price - Cost price!

Cost price is rupees 3250!

Let's take Selling price as Y!

let's substitute!

( Y - 3250/3250)100=4

100Y - 325000 = 3250(4)

100Y - 325000 = 13000!

100Y = 13000+325000

100Y = 338000

Y = 338000/100

Y = 3380!

The radio has to be sold at rupees 3380 to receive a profit percent of 4%!

hope this helps!