Question

Rita sells a cupboard for rupees 2640 and loss 12%.what should be selling price for a 12% gain?

Answer 1

Selling price=2640
Loss12%
Cost price = 100/100-loss% x sp

Cp = 100/100-12 x 2640
Cp=100/88 x 2640
Cp=3000


Gain 12%

Sp=100+gain/100 x cp
112/100 x 3000

Sp=3360

Thank you

Answer 2

Answer:

Rs 3360

Step-by-step explanation:

Let us denote the cost price as CP, the selling price as SP

Given: SP = 2640, Loss = 12%

Since there is a loss, the CP is greater than SP

Let CP be x

∴ Loss % = (CP-SP)x100/CP

12 = (x-2640)100/x

12x = 100x-264000

100x-12x = 264000

88x = 264000

∴ x = 264000/88

x = 3000

∴ CP= 3000

Now, for earning a profit of 12%, the SP is greater than CP

Profit% = (SP-CP)x100/CP

12=(SP-3000)100/3000

= (SP-3000)/30

30x12 = 360 = SP-3000

∴ SP= 3000+360 = 3360