Loading…
ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 3
Qstn# B-9 Prvs-QstnNext-Qstn
  • #9
    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 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%