ICSE-VIII-Mathematics
08: Profit, Loss and Discount Class 8 Maths
- #9Mr. 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 percent on the whole transaction.Ans : In the case of first tape - recorder :
S.P. = Rs. 990
Gain = 10%
C.P. = 100/(100 + Gain%) × S.P.
= 100/(100 + 10) × Rs. 990
= Rs. 100/110 × 990
= Rs. 100 × 9
= Rs. 900
In the case of second tape-recorder :
S.P. = Rs. 990
Loss = 10%
C.P. = 100/(100 - Loss%) × S.P.
= 100(100 - 10) × Rs. 990
= 100/90 × 990
= 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. × 100
= Rs. 20/Rs. 2000 × 100 - 2/2%
= 1%