Question

A shopkeeper sold two items for 9975 each. He sold one at a gain
of 5% and other at a loss of 5%. find his total gain or loss.​

Answer 1

Answer:

FIRST OBJECT Selling price

SP= (100+p%/100×9975)

SP= (100+5%/100×9975)

SP= Rs.10473.75

SECOND OBJECT Selling price

SP= (100-L%/100×9975)

SP= (100-5%/100×9975)

SP= Rs.9476.25

Total amount both materials= 9975×2

=Rs.19950

He has neither gained nor losses as sum of both the above price is equal to Rs.19950

Answer 2

${\large{\underbrace{\underline{\bf{Question:-}}}}}$

A shopkeeper sold two items for 9975 each. He sold one at a gain  of 5% and other at a loss of 5%. find his total gain or loss.​

${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

Selling price of Item A and B = Rs. 9975

Let cost price of item A be x

Profit = 5%

∴ 100% + 5% = 105% in total

$\frac{105x}{100} = 425\\\\x = 404.761$

Let cost price of item B be y

Loss = 5%

∴  100% - 5% = 95%  

​$\frac{95y}{100} = 425\\y = 447.368$

Net cost price = x + y

                        = 447.368 + 404.761

                        = Rs. 852.129

Net selling price = y - x

                           = 447.368 - 404.761

                           = Rs. 42.607

Net cost price - Net selling price =  Rs. 852.129 - Rs. 42.607

                                                       = Rs. 809.522

As Cost price (CP) ≥ Selling Price (SP) = Loss

Loss % =$\frac{Difference \: in \: CP \: and \: SP}{CP} (100)$

            = $\frac{809.522}{852.129} (100)$

            = Rs. 94.99

Hope this helps uh!   ♡