Question

if a dvd player is sold for rs3120 a mans loss per cent4 if it is sold for3640 then his loss or gain percent is

Answer 1

Selling Price, SP = ₹3120

loss = 4%

cost price, CP = SP × 100/(100-loss%)

=> CP = 3120 × 100(100-4)

=> CP = 3120 × 100/96

=> CP = ₹3250
_______________

If he sold it for ₹3640

gain = 3640 - 3250 = ₹390

gain % = gain/CP × 10)

=> gain % = 390/3250 × 100 = 12%

Answer 2

Given

selling price = Rs 3120

loss = 4%

Finding cost price

cost price = 100 / 100 - loss% x SP

= 100 / 100 - 4 x 3120

= 100 / 96 x 3120

= 3250

cost price = Rs 3250

Given new selling price = 3640

Here. SP is more so gain.

Finding gain -

Gain = SP - CP = 3640 - 3250 = 390

Gain = Rs 390

Finding gain percentage -

gain % = gain / cp x 100

= 390 / 3250 x 100

= 12%

$\bold{Answer: \: Gain \: = \: 12 \: \%}$