ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 3
Qstn# B-10 Prvs-QstnNext-Qstn
  • #10
    A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10% Find : (i) the C.P. of the tape-recorder (ii) the C.P. of the C.D. player. (iii) the total C.P. of both. (iv) the total S.P. of both (v) the gain % or the loss % on the whole
    Ans : S.P. of tape-recorder = Rs, 2,760
    Gain = 15% (i) C.P. = (100 × S.P.)/115 [C.P. = (100 × S.P.)/(100 + Gain)]
    = (100 × 2760)/115
    = (20 × 2760)/23
    = 20 × 120
    = Rs. 2400 (ii) S.P. of C.D. player = Rs. 3,240
    [C.P. = 100/(100 - Loss) × S.P.]
    = 100/(100 - 10) × 3240
    = 100/90 × 3240
    = 100 × 36
    = Rs. 3600 (iii) Total C.P. Of both = Rs. 2400 + Rs 3600 = Rs. 6000 (iv) Total S.P. of both = Rs. 2760 + Rs. 3240 = Rs. 6000 (v) Since, S.P. = C.P. there is no gain and no loss on the whole.
  • #10-i
    the C.P. of the tape-recorder
    Ans : C.P. = (100 × S.P.)/115 [C.P. = (100 × S.P.)/(100 + Gain)]
    = (100 × 2760)/115
    = (20 × 2760)/23
    = 20 × 120
    = Rs. 2400
  • #10-ii
    the C.P. of the C.D. player.
    Ans : S.P. of C.D. player = Rs. 3,240
    [C.P. = 100/(100 - Loss) × S.P.]
    = 100/(100 - 10) × 3240
    = 100/90 × 3240
    = 100 × 36
    = Rs. 3600
  • #10-iii
    the total C.P. of both.
    Ans : Total C.P. Of both = Rs. 2400 + Rs 3600 = Rs. 6000
  • #10-iv
    the total S.P. of both
    Ans : Total S.P. of both = Rs. 2760 + Rs. 3240 = Rs. 6000
  • #10-v
    the gain % or the loss % on the whole
    Ans : Since, S.P. = C.P. there is no gain and no loss on the whole.