Question

Mr. Sinha sold two tape-recorders for Rs.990 each; gaining 10% on one and losing 10% on the other. Find his total loss or gain as a percent on the whole transaction.

Answer 1

In the case of the first tape-recorder:

S.P. = Rs.990

Gain = 10%

C.P. =`100/((100+"gain"%))xx"S.P."`

`=100/((100+10))xx"Rs."990="Rs."100/110xx990`

= Rs. 100 × 9 = Rs.900

In the case of the second tape-recorder:

S.P. = Rs.990

Loss = 10%

C.P. =`100/((100-"Loss"%))xx"S.P."`

`=100/((100-10))xx"Rs."990=100/90xx990`

= 100 × 11 = Rs.1100

Total C.P. of both the tape-recorders

= Rs.900 + Rs.1100 = Rs.2000

Total S.P. of both the tape-recorders

= Rs.990 + Rs.990 = Rs.1980

Loss on the whole transaction

= C.P. − S.P.

= Rs.2000 − Rs.1980

= Rs. 20

Loss% =`"Loss"/"C.P."xx100`

`=("Rs."20)/("Rs."2000)xx100=2/2%=1%`