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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.
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Solution
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%`
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